Parameters |
∃ |
v |
m1 |
Krein Array |
multiplicities |
valencies |
2nd Q |
P |
DRG |
SRG |
Ex |
Comments |
<27,6>
|
!
|
27
|
6
|
{6,4,2; 1,2,3}
|
1,6,12,8
|
1,6,12,8
|
-
|
0123
|
{6,4,2;1,2,3}
|
-
|
|
Hamming H(3,3)
|
<35,6>
|
!
|
35
|
6
|
{6,49/10,7/2; 1,21/10,7/2}
|
1,6,14,14
|
1,12,18,4
|
-
|
0123,0312
|
{12,6,2;1,4,9}
|
<35,18,9,9>
|
Y
|
Johnson J(7,3)
|
<56,7>
|
!
|
56
|
7
|
{7,256/45,98/25; 1,448/225,14/5}
|
1,7,20,28
|
1,15,30,10
|
-
|
0123
|
{15,8,3;1,4,9}
|
-
|
|
Johnson J(8,3)
|
<64,7>
|
!
|
64
|
7
|
{7,6,5; 1,2,3}
|
1,7,21,35
|
1,21,35,7
|
0231
|
0123,0312
|
{21,10,3;1,6,15}
|
<64,35,18,20>
|
Y
|
Halved 7-cube
|
<64,9>
|
2!
|
64
|
9
|
{9,6,3; 1,2,3}
|
1,9,27,27
|
1,9,27,27
|
-
|
0123
|
{9,6,3;1,2,3}
|
<64,27,10,12>
|
|
Hamming H(3,4), Doob
|
<64,21>
|
!
|
64
|
21
|
{21,10,3; 1,6,15}
|
1,21,35,7
|
1,7,21,35
|
0312
|
0123,0231
|
{7,6,5;1,2,3}
|
<64,35,18,20>
|
|
Folded 7-cube
|
<66,10>
|
|
66
|
10
|
{10,242/27,11/5; 1,55/27,44/5}
|
1,10,44,11
|
1,30,20,15
|
-
|
-
|
|
<66,20,10,4>
|
Y
|
M11, Witt 4-(11,5,1)
|
<84,8>
|
!
|
84
|
8
|
{8,45/7,64/15; 1,40/21,12/5}
|
1,8,27,48
|
1,18,45,20
|
-
|
0123
|
{18,10,4;1,4,9}
|
-
|
|
Johnson J(9,3)
|
<91,12>
|
-
|
91
|
12
|
{12,338/35,39/25; 1,312/175,39/5}
|
1,12,65,13
|
1,20,30,40
|
-
|
-
|
|
-
|
|
Van Dam open case [VnD], nonexistence by Gavrilyuk and Vidali [GV]
|
<96,19>
|
-
|
96
|
19
|
{19,12,5; 1,4,15}
|
1,19,57,19
|
1,19,57,19
|
-
|
0123
|
{19,12,5;1,4,15}
|
<96,57,36,30>
|
|
2 SRG, Coolsaet, Jurisic [CJ]
|
<99,14>
|
?
|
99
|
14
|
{14,108/11,15/4; 1,24/11,45/4}
|
1,14,63,21
|
1,28,42,28
|
-
|
-
|
|
<99,42,21,15>
|
|
Van Dam open case [VnD]
|
<120,9>
|
!
|
120
|
9
|
{9,50/7,225/49; 1,90/49,15/7}
|
1,9,35,75
|
1,21,63,35
|
-
|
0123
|
{21,12,5;1,4,9}
|
<120,63,30,36>
|
|
Johnson J(10,3)
|
<120,14>
|
|
120
|
14
|
{14,25/2,5; 1,5/2,10}
|
1,14,70,35
|
1,42,56,21
|
-
|
-
|
|
<120,56,28,24>
|
Y
|
pairs of disjoint planes in Q+(5,2), rk 5
|
<120,17>
|
-
|
120
|
17
|
{17,8,6; 1,2,12}
|
1,17,68,34
|
1,17,68,34
|
-
|
0123
|
{17,8,6;1,2,12}
|
<120,68,40,36>
|
|
Thm 1.16.3 with Thm 5.2.1 [BCN]
|
<120,17>a
|
|
120
|
17
|
{17,72/5,6; 1,18/5,12}
|
1,17,68,34
|
1,34,68,17
|
-
|
-
|
|
<120,68,40,36>
|
Y
|
Relative Hemisystems of GQ(4,16)
|
<120,32>
|
-
|
120
|
32
|
{32,81/7,384/49; 1,288/49,144/7}
|
1,32,63,24
|
1,7,28,84
|
-
|
0123,0231
|
{7,4,6;1,1,2}
|
<120,84,58,60>
|
|
Prop. 4.1.6 [BCN]
|
<125,12>
|
!
|
125
|
12
|
{12,8,4; 1,2,3}
|
1,12,48,64
|
1,12,48,64
|
-
|
0123
|
{12,8,4;1,2,3}
|
-
|
|
Hamming H(3,5)
|
<135,35>
|
!
|
135
|
35
|
{35,81/4,75/16; 1,135/16,105/4}
|
1,35,84,15
|
1,14,56,64
|
-
|
0123
|
{14,12,8;1,3,7}
|
<135,64,28,32>
|
|
Dual Polar B3(2)
|
<154,33>
|
-
|
154
|
33
|
{33,21,121/21; 1,99/14,77/3}
|
1,33,98,22
|
1,21,84,48
|
-
|
0123
|
{21,16,8;1,4,14}
|
<154,48,12,16>
|
|
Coolsaet [C]
|
<165,10>
|
!
|
165
|
10
|
{10,847/108,275/56; 1,385/216,55/28}
|
1,10,44,110
|
1,24,84,56
|
-
|
0123
|
{24,14,6;1,4,9}
|
-
|
|
Johnson J(11,3)
|
<216,15>
|
!
|
216
|
15
|
{15,10,5; 1,2,3}
|
1,15,75,125
|
1,15,75,125
|
-
|
0123
|
{15,10,5;1,2,3}
|
-
|
|
Hamming H(3,6)
|
<216,20>
|
?
|
216
|
20
|
{20,15,16/7; 1,12/7,20}
|
1,20,175,20
|
1,70,70,75
|
0321
|
-
|
|
<216,75,18,30>
|
|
|
<216,35>
|
-
|
216
|
35
|
{35,24,8; 1,6,28}
|
1,35,140,40
|
1,35,140,40
|
-
|
0123
|
{35,24,8;1,6,28}
|
<216,140,94,84>
|
|
2 SRG, Jurisic, Vidali [JV]
|
<220,11>
|
!
|
220
|
11
|
{11,128/15,847/162; 1,704/405,11/6}
|
1,11,54,154
|
1,27,108,84
|
-
|
0123
|
{27,16,7;1,4,9}
|
-
|
|
Johnson J(12,3)
|
<225,24>
|
-
|
225
|
24
|
{24,20,36/11; 1,30/11,24}
|
1,24,176,24
|
1,88,88,48
|
0321
|
-
|
|
<225,48,3,12>
|
|
Gavrilyuk, Vidali [GV]
|
<245,20>
|
?
|
245
|
20
|
{20,14,50/9; 1,35/18,10}
|
1,20,144,80
|
1,36,64,144
|
-
|
-
|
|
<245,64,18,16>
|
|
|
<250,40>
|
-
|
250
|
40
|
{40,33,8; 1,8,30}
|
1,40,165,44
|
1,40,165,44
|
-
|
0123
|
{40,33,8;1,8,30}
|
-
|
|
Jurisic, Vidali [JV]
|
<256,25>
|
?
|
256
|
25
|
{25,24,3; 1,3,20}
|
1,25,200,30
|
1,80,100,75
|
-
|
-
|
|
-
|
|
|
<260,25>
|
?
|
260
|
25
|
{25,1352/63,260/49; 1,1300/441,130/7}
|
1,25,182,52
|
1,70,105,84
|
-
|
-
|
|
-
|
|
|
<279,30>
|
?
|
279
|
30
|
{30,961/36,31/4; 1,155/36,93/4}
|
1,30,186,62
|
1,80,150,48
|
-
|
-
|
|
<279,150,85,75>
|
Y
|
|
<280,27>
|
?
|
280
|
27
|
{27,160/7,12/5; 1,96/35,20}
|
1,27,225,27
|
1,54,90,135
|
-
|
-
|
|
-
|
|
|
<280,27>a
|
?
|
280
|
27
|
{27,49/2,7; 1,7/2,21}
|
1,27,189,63
|
1,90,135,54
|
-
|
-
|
|
<280,135,70,60>
|
Y
|
|
<286,12>
|
!
|
286
|
12
|
{12,507/55,416/75; 1,468/275,26/15}
|
1,12,65,208
|
1,30,135,120
|
-
|
0123
|
{30,18,8;1,4,9}
|
-
|
|
Johnson J(13,3)
|
<286,25>
|
?
|
286
|
25
|
{25,507/22,13/2; 1,65/22,39/2}
|
1,25,195,65
|
1,100,125,60
|
-
|
-
|
|
<286,125,60,50>
|
Y
|
|
<288,35>
|
?
|
288
|
35
|
{35,243/8,9; 1,45/8,27}
|
1,35,189,63
|
1,70,175,42
|
-
|
-
|
|
<288,175,110,100>
|
Y
|
|
<300,39>
|
?
|
300
|
39
|
{39,30,4; 1,5,36}
|
1,39,234,26
|
1,78,117,104
|
-
|
-
|
|
<300,117,60,36>
|
|
|
<319,28>
|
?
|
319
|
28
|
{28,2523/110,87/10; 1,174/55,203/10}
|
1,28,203,87
|
1,80,168,70
|
-
|
-
|
|
<319,168,92,84>
|
|
|
<322,45>
|
?
|
322
|
45
|
{45,529/14,23/2; 1,115/14,69/2}
|
1,45,207,69
|
1,60,225,36
|
-
|
0123
|
{60,45,8;1,12,50}
|
<322,225,160,150>
|
Y
|
|
<324,17>
|
-
|
324
|
17
|
{17,16,10; 1,2,8}
|
1,17,136,170
|
1,102,170,51
|
-
|
-
|
|
<324,170,88,90>
|
Y
|
Gavrilyuk, Vidali [GV]
|
<324,19>
|
-
|
324
|
19
|
{19,128/9,10; 1,16/9,10}
|
1,19,152,152
|
1,76,171,76
|
-
|
-
|
|
<324,171,90,90>
|
|
Gavrilyuk, Vidali [GV]
|
<324,19>a
|
?
|
324
|
19
|
{19,16,8; 1,2,8}
|
1,19,152,152
|
1,57,152,114
|
-
|
-
|
|
<324,152,70,72>
|
|
|
<343,18>
|
!
|
343
|
18
|
{18,12,6; 1,2,3}
|
1,18,108,216
|
1,18,108,216
|
-
|
0123
|
{18,12,6;1,2,3}
|
-
|
|
Hamming H(3,7)
|
<343,36>
|
?
|
343
|
36
|
{36,30,4; 1,4,30}
|
1,36,270,36
|
1,90,108,144
|
-
|
-
|
|
-
|
|
|
<343,42>
|
?
|
343
|
42
|
{42,30,12; 1,6,28}
|
1,42,210,90
|
1,42,210,90
|
-
|
0123
|
{42,30,12;1,6,28}
|
-
|
|
|
<344,42>
|
?
|
344
|
42
|
{42,1849/50,43/7; 1,301/50,258/7}
|
1,42,258,43
|
1,105,168,70
|
-
|
-
|
|
<344,168,92,72>
|
Y
|
|
<351,26>
|
?
|
351
|
26
|
{26,162/7,507/49; 1,351/98,78/7}
|
1,26,168,156
|
1,42,224,84
|
-
|
0123
|
{42,32,9;1,6,24}
|
<351,224,142,144>
|
|
|
<364,13>
|
!
|
364
|
13
|
{13,980/99,3549/605; 1,1820/1089,91/55}
|
1,13,77,273
|
1,33,165,165
|
-
|
0123
|
{33,20,9;1,4,9}
|
-
|
|
Johnson J(14,3)
|
<375,34>
|
?
|
375
|
34
|
{34,45/2,7/2; 1,5/2,63/2}
|
1,34,306,34
|
1,68,102,204
|
-
|
-
|
|
<375,102,45,21>
|
|
|
<377,28>
|
?
|
377
|
28
|
{28,841/39,29/3; 1,203/78,58/3}
|
1,28,232,116
|
1,84,196,96
|
-
|
-
|
|
<377,196,105,98>
|
|
|
<378,26>
|
?
|
378
|
26
|
{26,162/7,15; 1,27/7,12}
|
1,26,156,195
|
1,78,260,39
|
-
|
0123
|
{78,50,9;1,15,60}
|
<378,260,178,180>
|
Y
|
|
<378,26>a
|
?
|
378
|
26
|
{26,4374/175,27/13; 1,351/175,324/13}
|
1,26,324,27
|
1,195,52,130
|
-
|
-
|
|
<378,52,26,4>
|
Y
|
|
<392,34>
|
?
|
392
|
34
|
{34,63/2,5; 1,7/2,30}
|
1,34,306,51
|
1,153,136,102
|
-
|
-
|
|
<392,136,60,40>
|
Y
|
|
<392,69>
|
?
|
392
|
69
|
{69,56,10; 1,14,60}
|
1,69,276,46
|
1,69,276,46
|
-
|
0123
|
{69,56,10;1,14,60}
|
<392,276,200,180>
|
Y
|
2 SRG
|
<400,19>
|
?
|
400
|
19
|
{19,160/9,12; 1,20/9,8}
|
1,19,152,228
|
1,114,228,57
|
-
|
-
|
|
<400,228,128,132>
|
Y
|
|
<430,42>
|
?
|
430
|
42
|
{42,1849/60,43/3; 1,301/60,86/3}
|
1,42,258,129
|
1,63,294,72
|
-
|
0123
|
{63,42,12;1,9,49}
|
<430,294,203,196>
|
|
|
<441,20>
|
-
|
441
|
20
|
{20,378/25,12; 1,42/25,9}
|
1,20,180,240
|
1,100,240,100
|
-
|
-
|
|
<441,240,129,132>
|
|
Gavrilyuk, Vidali [GV], Kodalen, Martin [KM]
|
<455,14>
|
!
|
455
|
14
|
{14,275/26,1225/198; 1,385/234,35/22}
|
1,14,90,350
|
1,36,198,220
|
-
|
0123
|
{36,22,10;1,4,9}
|
-
|
|
Johnson J(15,3)
|
<460,51>
|
?
|
460
|
51
|
{51,960/23,26/3; 1,144/23,130/3}
|
1,51,340,68
|
1,102,255,102
|
-
|
-
|
|
<460,255,150,130>
|
|
|
<460,54>
|
?
|
460
|
54
|
{54,900/23,55/9; 1,135/23,440/9}
|
1,54,360,45
|
1,81,216,162
|
-
|
-
|
|
<460,216,116,88>
|
|
|
<462,54>
|
!
|
462
|
54
|
{54,242/7,396/25; 1,1188/175,33}
|
1,54,275,132
|
1,36,225,200
|
-
|
0123
|
{36,25,16;1,4,18}
|
-
|
|
Folded J(12,6) Unique by Metsch
|
<484,21>
|
?
|
484
|
21
|
{21,176/9,14; 1,22/9,8}
|
1,21,168,294
|
1,126,294,63
|
-
|
-
|
|
<484,294,176,182>
|
Y
|
|
<486,30>
|
?
|
486
|
30
|
{30,26,9; 1,3,12}
|
1,30,260,195
|
1,30,260,195
|
-
|
0123
|
{30,26,9;1,3,12}
|
-
|
|
|
<486,30>a
|
?
|
486
|
30
|
{30,28,2; 1,2,24}
|
1,30,420,35
|
1,135,140,210
|
-
|
-
|
|
-
|
|
|
<495,38>
|
?
|
495
|
38
|
{38,360/11,13/2; 1,36/11,65/2}
|
1,38,380,76
|
1,152,190,152
|
-
|
-
|
|
<495,190,85,65>
|
|
|
<506,22>
|
!
|
506
|
22
|
{22,3703/180,2783/175; 1,1771/900,506/35}
|
1,22,230,253
|
1,210,280,15
|
-
|
0312
|
{15,14,12;1,1,9}
|
-
|
|
Witt Graph M23
|
<512,21>
|
!
|
512
|
21
|
{21,14,7; 1,2,3}
|
1,21,147,343
|
1,21,147,343
|
-
|
0123
|
{21,14,7;1,2,3}
|
-
|
|
Hamming H(3,8)
|
<512,21>a
|
!
|
512
|
21
|
{21,20,16; 1,2,12}
|
1,21,210,280
|
1,210,280,21
|
-
|
0312
|
{21,20,16;1,2,12}
|
-
|
|
Coset Graph of Doubly Truncated Golay Code
|
<512,49>
|
!
|
512
|
49
|
{49,36,16; 1,6,28}
|
1,49,294,168
|
1,49,294,168
|
-
|
0123
|
{49,36,16;1,6,28}
|
-
|
|
Bilinear Forms graph (3,3,2) [GK2]
|
<527,30>
|
?
|
527
|
30
|
{30,2883/136,93/8; 1,279/136,155/8}
|
1,30,310,186
|
1,96,270,160
|
-
|
-
|
|
<527,270,141,135>
|
|
|
<527,30>a
|
?
|
527
|
30
|
{30,961/34,93/8; 1,93/34,155/8}
|
1,30,310,186
|
1,160,270,96
|
-
|
-
|
|
<527,270,141,135>
|
Y
|
|
<532,27>
|
?
|
532
|
27
|
{27,735/38,21/2; 1,63/38,35/2}
|
1,27,315,189
|
1,108,243,180
|
-
|
-
|
|
<532,243,114,108>
|
|
|
<532,27>a
|
?
|
532
|
27
|
{27,490/19,21/2; 1,42/19,35/2}
|
1,27,315,189
|
1,180,243,108
|
-
|
-
|
|
<532,243,114,108>
|
Y
|
|
<540,33>
|
-
|
540
|
33
|
{33,20,63/5; 1,12/5,15}
|
1,33,275,231
|
1,55,99,385
|
-
|
-
|
|
<540,99,18,18>
|
|
Gavrilyuk, Vidali [GV]
|
<540,35>
|
-
|
540
|
35
|
{35,243/10,27/2; 1,27/10,45/2}
|
1,35,315,189
|
1,84,315,140
|
-
|
-
|
|
<540,315,186,180>
|
|
Gavrilyuk, Vidali [GV]
|
<540,35>a
|
?
|
540
|
35
|
{35,162/5,27/2; 1,18/5,45/2}
|
1,35,315,189
|
1,140,315,84
|
-
|
-
|
|
<540,315,186,180>
|
Y
|
|
<540,44>
|
?
|
540
|
44
|
{44,30,5; 1,3,40}
|
1,44,440,55
|
1,88,176,275
|
-
|
-
|
|
<540,176,76,48>
|
|
|
<540,49>
|
?
|
540
|
49
|
{49,400/9,10; 1,50/9,40}
|
1,49,392,98
|
1,147,294,98
|
-
|
-
|
|
<540,294,168,150>
|
Y
|
|
<540,77>
|
-
|
540
|
77
|
{77,60,13; 1,12,65}
|
1,77,385,77
|
1,77,385,77
|
-
|
0123
|
{77,60,13;1,12,65}
|
<540,385,280,260>
|
|
2 SRG, Coolsaet, Jurisic [CJ]
|
<550,54>
|
?
|
550
|
54
|
{54,242/5,11; 1,33/5,44}
|
1,54,396,99
|
1,135,324,90
|
-
|
-
|
|
<550,324,198,180>
|
Y
|
|
<560,15>
|
!
|
560
|
15
|
{15,1024/91,1100/169; 1,1920/1183,20/13}
|
1,15,104,440
|
1,39,234,286
|
-
|
0123
|
{39,24,11;1,4,9}
|
-
|
|
Johnson J(16,3)
|
<560,39>
|
?
|
560
|
39
|
{39,250/7,15; 1,30/7,25}
|
1,39,325,195
|
1,130,351,78
|
-
|
-
|
|
<560,351,222,216>
|
Y
|
|
<560,39>a
|
?
|
560
|
39
|
{39,256/7,8; 1,24/7,32}
|
1,39,416,104
|
1,195,234,130
|
-
|
-
|
|
<560,234,108,90>
|
Y
|
|
<561,32>
|
?
|
561
|
32
|
{32,847/34,55/4; 1,44/17,77/4}
|
1,32,308,220
|
1,112,320,128
|
-
|
-
|
|
<561,320,184,180>
|
|
|
<576,23>
|
-
|
576
|
23
|
{23,432/25,15; 1,48/25,9}
|
1,23,207,345
|
1,115,345,115
|
-
|
-
|
|
<576,345,204,210>
|
|
Gavrilyuk, Vidali [GV], Kodalen, Martin [KM]
|
<576,23>a
|
?
|
576
|
23
|
{23,64/3,16; 1,8/3,8}
|
1,23,184,368
|
1,138,368,69
|
-
|
-
|
|
<576,368,232,240>
|
Y
|
|
<576,50>
|
?
|
576
|
50
|
{50,45,12; 1,6,30}
|
1,50,375,150
|
1,50,375,150
|
-
|
0123
|
{50,45,12;1,6,30}
|
<576,375,246,240>
|
|
|
<585,52>
|
?
|
585
|
52
|
{52,140/3,169/10; 1,104/15,65/2}
|
1,52,350,182
|
1,80,420,84
|
-
|
0123
|
{80,63,12;1,12,60}
|
-
|
|
|
<598,45>
|
-
|
598
|
45
|
{45,1587/52,69/4; 1,207/52,115/4}
|
1,45,345,207
|
1,72,405,120
|
-
|
0123
|
{72,45,16;1,8,54}
|
<598,405,276,270>
|
|
BCN Thm 4.4.4 [BCN]
|
<598,45>a
|
?
|
598
|
45
|
{45,529/13,69/4; 1,69/13,115/4}
|
1,45,345,207
|
1,120,405,72
|
-
|
-
|
|
<598,405,276,270>
|
Y
|
|
<612,26>
|
?
|
612
|
26
|
{26,405/17,18; 1,54/17,9}
|
1,26,195,390
|
1,130,416,65
|
-
|
-
|
|
<612,416,280,288>
|
Y
|
|
<625,52>
|
?
|
625
|
52
|
{52,42,16; 1,6,28}
|
1,52,364,208
|
1,52,364,208
|
-
|
0123
|
{52,42,16;1,6,28}
|
<625,364,213,210>
|
|
|
<625,72>
|
-
|
625
|
72
|
{72,42,6; 1,6,63}
|
1,72,504,48
|
1,48,72,504
|
-
|
0231
|
{72,42,6;1,6,63}
|
<625,504,403,420>
|
|
BCN Thm 4.4.4 [BCN]
|
<630,34>
|
?
|
630
|
34
|
{34,98/3,7; 1,7/3,28}
|
1,34,476,119
|
1,255,204,170
|
-
|
-
|
|
<630,204,78,60>
|
Y
|
|
<630,74>
|
-
|
630
|
74
|
{74,54,15; 1,9,60}
|
1,74,444,111
|
1,74,444,111
|
-
|
0123
|
{74,54,15;1,9,60}
|
<630,444,318,300>
|
|
2 SRG, Coolsaet, Jurisic [CJ]
|
<630,74>a
|
?
|
630
|
74
|
{74,450/7,15; 1,75/7,60}
|
1,74,444,111
|
1,111,444,74
|
-
|
-
|
|
<630,444,318,300>
|
Y
|
|
<665,56>
|
?
|
665
|
56
|
{56,1805/36,931/80; 1,266/45,665/16}
|
1,56,475,133
|
1,120,384,160
|
-
|
-
|
|
-
|
|
|
<672,55>
|
-
|
672
|
55
|
{55,32,16; 1,4,40}
|
1,55,440,176
|
1,55,440,176
|
-
|
0123
|
{55,32,16;1,4,40}
|
<672,440,292,280>
|
|
Thm 1.16.3 with Thm 5.2.1 [BCN]
|
<672,55>a
|
|
672
|
55
|
{55,49,21; 1,7,35}
|
1,55,385,231
|
1,110,495,66
|
-
|
0123
|
{110,81,12;1,18,90}
|
<672,495,366,360>
|
Y
|
Moscow-Soicher graph
|
<672,55>b
|
?
|
672
|
55
|
{55,1372/27,7; 1,140/27,49}
|
1,55,539,77
|
1,231,275,165
|
-
|
-
|
|
<672,275,130,100>
|
Y
|
|
<676,25>
|
?
|
676
|
25
|
{25,208/9,18; 1,26/9,8}
|
1,25,200,450
|
1,150,450,75
|
-
|
-
|
|
<676,450,296,306>
|
Y
|
|
<676,90>
|
?
|
676
|
90
|
{90,78,7; 1,13,84}
|
1,90,540,45
|
1,180,360,135
|
-
|
-
|
|
<676,360,212,168>
|
Y
|
|
<680,16>
|
!
|
680
|
16
|
{16,3757/315,4352/637; 1,3536/2205,136/91}
|
1,16,119,544
|
1,42,273,364
|
-
|
0123
|
{42,26,12;1,4,9}
|
-
|
|
Johnson J(17,3)
|
<680,34>
|
?
|
680
|
34
|
{34,180/7,1445/294; 1,153/98,680/21}
|
1,34,560,85
|
1,168,336,175
|
-
|
-
|
|
<680,175,30,50>
|
|
|
<693,65>
|
?
|
693
|
65
|
{65,3267/56,165/32; 1,1485/224,429/8}
|
1,65,572,55
|
1,120,312,260
|
-
|
-
|
|
-
|
|
|
<726,65>
|
?
|
726
|
65
|
{65,99/2,15/2; 1,11/2,117/2}
|
1,65,585,75
|
1,130,325,270
|
-
|
-
|
|
<726,325,164,130>
|
|
|
<726,87>
|
?
|
726
|
87
|
{87,66,16; 1,11,72}
|
1,87,522,116
|
1,87,522,116
|
-
|
0123
|
{87,66,16;1,11,72}
|
<726,522,381,360>
|
|
2 SRG
|
<729,24>
|
!
|
729
|
24
|
{24,16,8; 1,2,3}
|
1,24,192,512
|
1,24,192,512
|
-
|
0123
|
{24,16,8;1,2,3}
|
-
|
|
Hamming H(3,9)
|
<729,24>a
|
!
|
729
|
24
|
{24,22,20; 1,2,12}
|
1,24,264,440
|
1,264,440,24
|
-
|
0312
|
{24,22,20;1,2,12}
|
-
|
|
Ext Ternary Golay code
|
<729,26>
|
-
|
729
|
26
|
{26,486/25,18; 1,54/25,9}
|
1,26,234,468
|
1,130,468,130
|
-
|
-
|
|
<729,468,297,306>
|
|
Gavrilyuk, Vidali [GV], Kodalen, Martin [KM]
|
<729,35>
|
?
|
729
|
35
|
{35,243/8,6; 1,15/8,27}
|
1,35,567,126
|
1,210,168,350
|
-
|
-
|
|
-
|
|
|
<729,42>
|
-
|
729
|
42
|
{42,28,5; 1,2,30}
|
1,42,588,98
|
1,98,42,588
|
-
|
0231
|
{42,28,5;1,2,30}
|
-
|
|
DRG not feasible
|
<729,56>
|
?
|
729
|
56
|
{56,42,20; 1,6,28}
|
1,56,392,280
|
1,56,392,280
|
-
|
0123
|
{56,42,20;1,6,28}
|
<729,392,211,210>
|
|
|
<729,104>
|
-
|
729
|
104
|
{104,66,8; 1,12,88}
|
1,104,572,52
|
1,52,104,572
|
-
|
0231
|
{104,66,8;1,12,88}
|
<729,572,445,462>
|
|
Urlep [U]
|
<750,49>
|
-
|
750
|
49
|
{49,40,22; 1,5,28}
|
1,49,392,308
|
1,112,539,98
|
-
|
0123
|
{112,77,16;1,16,88}
|
<750,539,388,385>
|
|
BCN Thm 4.4.4 [BCN]
|
<750,112>
|
?
|
750
|
112
|
{112,77,16; 1,16,88}
|
1,112,539,98
|
1,49,392,308
|
-
|
0123
|
{49,40,22;1,5,28}
|
<750,308,118,132>
|
|
|
<756,75>
|
?
|
756
|
75
|
{75,64,8; 1,8,60}
|
1,75,600,80
|
1,105,350,300
|
-
|
-
|
|
-
|
|
|
<759,23>
|
!
|
759
|
23
|
{23,945/44,1587/80; 1,345/176,207/20}
|
1,23,252,483
|
1,280,448,30
|
-
|
0312
|
{30,28,24;1,3,15}
|
-
|
|
Witt Graph M24 [BCN]
|
<760,75>
|
?
|
760
|
75
|
{75,5776/99,665/121; 1,7600/1089,665/11}
|
1,75,627,57
|
1,99,165,495
|
-
|
-
|
|
-
|
|
|
<765,84>
|
|
765
|
84
|
{84,289/5,153/8; 1,51/5,357/8}
|
1,84,476,204
|
1,28,224,512
|
-
|
0123
|
{28,24,16;1,3,7}
|
-
|
|
Dual Polar Graph 2D4(2)
|
<768,39>
|
?
|
768
|
39
|
{39,112/3,10; 1,8/3,30}
|
1,39,546,182
|
1,273,312,182
|
-
|
-
|
|
<768,312,136,120>
|
Y
|
|
<768,52>
|
?
|
768
|
52
|
{52,35,16; 1,4,28}
|
1,52,455,260
|
1,65,182,520
|
-
|
-
|
|
<768,182,46,42>
|
|
|
<768,59>
|
?
|
768
|
59
|
{59,54,15; 1,6,45}
|
1,59,531,177
|
1,177,472,118
|
-
|
-
|
|
<768,472,296,280>
|
Y
|
|
<768,65>
|
?
|
768
|
65
|
{65,54,9; 1,6,45}
|
1,65,585,117
|
1,65,312,390
|
-
|
-
|
|
<768,312,136,120>
|
|
|
<784,27>
|
?
|
784
|
27
|
{27,224/9,20; 1,28/9,8}
|
1,27,216,540
|
1,162,540,81
|
-
|
-
|
|
<784,540,368,380>
|
Y
|
|
<792,35>
|
?
|
792
|
35
|
{35,729/22,117/7; 1,63/22,135/7}
|
1,35,405,351
|
1,210,455,126
|
-
|
-
|
|
<792,455,262,260>
|
Y
|
|
<800,34>
|
-
|
800
|
34
|
{34,25,20; 1,10/3,10}
|
1,34,255,510
|
1,85,459,255
|
-
|
0123
|
{85,54,25;1,10,45}
|
<800,459,258,270>
|
|
BCN Thm 4.4.4 [BCN]
|
<800,119>
|
?
|
800
|
119
|
{119,100,15; 1,20,105}
|
1,119,595,85
|
1,119,595,85
|
-
|
0123
|
{119,100,15;1,20,105}
|
<800,595,450,420>
|
Y
|
2 SRG
|
<816,17>
|
!
|
816
|
17
|
{17,63/5,3757/525; 1,119/75,51/35}
|
1,17,135,663
|
1,45,315,455
|
-
|
0123
|
{45,28,13;1,4,9}
|
-
|
|
Johnson J(18,3)
|
<819,26>
|
!
|
819
|
26
|
{26,162/7,169/8; 1,13/7,117/8}
|
1,26,324,468
|
1,288,512,18
|
-
|
0312
|
{18,16,16;1,1,9}
|
-
|
|
Gen Hexagon (2,8) [BCN]
|
<825,48>
|
?
|
825
|
48
|
{48,44,125/44; 1,32/11,165/4}
|
1,48,726,50
|
1,264,176,384
|
-
|
-
|
|
-
|
|
|
<870,29>
|
?
|
870
|
29
|
{29,4725/176,2523/121; 1,6525/1936,87/11}
|
1,29,231,609
|
1,154,616,99
|
-
|
0123
|
{154,100,18;1,25,112}
|
-
|
|
|
<891,22>
|
!
|
891
|
22
|
{22,21,121/6; 1,11/6,33/4}
|
1,22,252,616
|
1,336,512,42
|
0231
|
0312
|
{42,40,32;1,5,21}
|
-
|
|
Dual Polar Graph 2A5(2)
|
<891,252>
|
!
|
891
|
252
|
{252,605/4,33/4; 1,495/8,231}
|
1,252,616,22
|
1,42,336,512
|
0312
|
0123
|
{42,40,32;1,5,21}
|
-
|
|
Dual Polar Graph 2A5(2)
|
<900,29>
|
-
|
900
|
29
|
{29,108/5,21; 1,12/5,9}
|
1,29,261,609
|
1,145,609,145
|
-
|
0123
|
{145,84,25;1,20,105}
|
<900,609,408,420>
|
|
BCN Thm 4.4.4 [BCN]
|
<900,29>a
|
?
|
900
|
29
|
{29,80/3,22; 1,10/3,8}
|
1,29,232,638
|
1,174,638,87
|
-
|
0123
|
{174,110,18;1,30,132}
|
<900,638,448,462>
|
Y
|
|
<923,70>
|
?
|
923
|
70
|
{70,5041/78,71/6; 1,497/78,355/6}
|
1,70,710,142
|
1,252,490,180
|
-
|
-
|
|
<923,490,273,245>
|
Y
|
|
<936,51>
|
?
|
936
|
51
|
{51,1690/49,13; 1,130/49,39}
|
1,51,663,221
|
1,119,459,357
|
-
|
-
|
|
<936,459,234,216>
|
|
|
<936,51>a
|
?
|
936
|
51
|
{51,169/4,13; 1,13/4,39}
|
1,51,663,221
|
1,204,459,272
|
-
|
-
|
|
<936,459,234,216>
|
|
|
<936,51>b
|
?
|
936
|
51
|
{51,10816/225,260/17; 1,884/225,624/17}
|
1,51,624,260
|
1,255,510,170
|
-
|
-
|
|
<936,510,284,270>
|
Y
|
|
<945,56>
|
?
|
945
|
56
|
{56,48,49/13; 1,42/13,56}
|
1,56,832,56
|
1,312,312,320
|
0321
|
-
|
|
<945,320,85,120>
|
|
|
<945,80>
|
?
|
945
|
80
|
{80,567/8,50/7; 1,405/56,70}
|
1,80,784,80
|
1,224,384,336
|
-
|
-
|
|
-
|
|
|
<945,80>a
|
?
|
945
|
80
|
{80,729/10,27/2; 1,81/10,135/2}
|
1,80,720,144
|
1,224,560,160
|
-
|
-
|
|
<945,560,343,315>
|
Y
|
|
<952,51>
|
?
|
952
|
51
|
{51,315/8,867/35; 1,255/56,119/5}
|
1,51,441,459
|
1,105,630,216
|
-
|
0123
|
{105,72,24;1,12,70}
|
-
|
|
|
<960,35>
|
?
|
960
|
35
|
{35,144/5,256/21; 1,28/15,120/7}
|
1,35,540,384
|
1,140,315,504
|
-
|
-
|
|
-
|
|
|
<960,63>
|
?
|
960
|
63
|
{63,56,81/17; 1,72/17,63}
|
1,63,833,63
|
1,357,357,245
|
0321
|
-
|
|
<960,245,40,70>
|
|
|
<960,84>
|
|
960
|
84
|
{84,125/2,15; 1,15/2,60}
|
1,84,700,175
|
1,84,315,560
|
-
|
-
|
|
-
|
|
Ovoids of O+(8,2)
|
<960,119>
|
-
|
960
|
119
|
{119,96,18; 1,16,102}
|
1,119,714,126
|
1,119,714,126
|
-
|
0123
|
{119,96,18;1,16,102}
|
<960,714,538,510>
|
|
2 SRG, Jurisic, Vidali [JV]
|
<969,18>
|
!
|
969
|
18
|
{18,1805/136,1197/160; 1,855/544,57/40}
|
1,18,152,798
|
1,48,360,560
|
-
|
0123
|
{48,30,14;1,4,9}
|
-
|
|
Johnson J(19,3)
|
<969,56>
|
?
|
969
|
56
|
{56,1805/34,19/2; 1,133/34,95/2}
|
1,56,760,152
|
1,336,392,240
|
-
|
-
|
|
<969,392,175,147>
|
Y
|
|
<1000,27>
|
!
|
1000
|
27
|
{27,18,9; 1,2,3}
|
1,27,243,729
|
1,27,243,729
|
-
|
0123
|
{27,18,9;1,2,3}
|
-
|
|
Hamming H(3,10)
|
<1000,27>a
|
-
|
1000
|
27
|
{27,24,24; 1,2,12}
|
1,27,324,648
|
1,324,648,27
|
-
|
0312
|
{27,24,24;1,2,12}
|
-
|
|
Thm 5.2.1 [BCN]
|
<1000,37>
|
-
|
1000
|
37
|
{37,24,14; 1,2,12}
|
1,37,444,518
|
1,74,148,777
|
-
|
-
|
|
-
|
|
Gavrilyuk, Vidali [GV]
|
<1000,54>
|
?
|
1000
|
54
|
{54,42,11; 1,3,44}
|
1,54,756,189
|
1,189,432,378
|
-
|
-
|
|
<1000,432,200,176>
|
|
|
<1000,63>
|
?
|
1000
|
63
|
{63,48,24; 1,6,28}
|
1,63,504,432
|
1,63,504,432
|
-
|
0123
|
{63,48,24;1,6,28}
|
-
|
|
|
<1000,74>
|
?
|
1000
|
74
|
{74,55,9; 1,5,66}
|
1,74,814,111
|
1,148,444,407
|
-
|
-
|
|
<1000,444,218,180>
|
|
|
<1000,99>
|
?
|
1000
|
99
|
{99,640/9,12; 1,80/9,88}
|
1,99,792,108
|
1,108,594,297
|
-
|
-
|
|
<1000,594,368,330>
|
|
|
<1000,111>
|
?
|
1000
|
111
|
{111,88,9; 1,12,99}
|
1,111,814,74
|
1,148,444,407
|
-
|
-
|
|
<1000,407,150,176>
|
|
|
<1015,28>
|
-
|
1015
|
28
|
{28,2523/130,4263/338; 1,1218/845,203/26}
|
1,28,377,609
|
1,104,208,702
|
-
|
-
|
|
-
|
|
Gavrilyuk, Vidali [GV], Kodalen, Martin [KM]
|
<1023,98>
|
?
|
1023
|
98
|
{98,2420/31,33/2; 1,308/31,165/2}
|
1,98,770,154
|
1,140,686,196
|
-
|
-
|
|
<1023,686,469,441>
|
|
|
<1023,98>a
|
?
|
1023
|
98
|
{98,5445/62,33/2; 1,693/62,165/2}
|
1,98,770,154
|
1,196,686,140
|
-
|
-
|
|
<1023,686,469,441>
|
Y
|
|
<1024,22>
|
|
1024
|
22
|
{22,21,20; 1,2,6}
|
1,22,231,770
|
1,330,616,77
|
0231
|
-
|
|
-
|
|
Words of weight divisible by 4 in truncated binary Golay code
|
<1024,31>
|
|
1024
|
31
|
{31,30,17; 1,2,15}
|
1,31,465,527
|
1,310,527,186
|
-
|
-
|
|
<1024,527,270,272>
|
Y
|
Dual Kasami
|
<1024,33>
|
?
|
1024
|
33
|
{33,30,15; 1,2,15}
|
1,33,495,495
|
1,198,495,330
|
-
|
-
|
|
<1024,495,238,240>
|
|
|
<1024,66>
|
!
|
1024
|
66
|
{66,45,28; 1,6,30}
|
1,66,495,462
|
1,66,495,462
|
-
|
0123
|
{66,45,28;1,6,30}
|
<1024,495,238,240>
|
|
Folded Half-Cube [GK]
|
<1024,231>
|
|
1024
|
231
|
{231,160,6; 1,48,210}
|
1,231,770,22
|
1,77,330,616
|
0312
|
-
|
|
-
|
|
Words of weight divisible by 4 in truncated binary Golay code
|
<1029,126>
|
-
|
1029
|
126
|
{126,110,18; 1,18,105}
|
1,126,770,132
|
1,126,770,132
|
-
|
0123
|
{126,110,18;1,18,105}
|
-
|
|
Jurisic, Vidali [JV]
|
<1035,68>
|
?
|
1035
|
68
|
{68,2116/35,92/7; 1,184/35,391/7}
|
1,68,782,184
|
1,252,544,238
|
-
|
-
|
|
<1035,544,298,272>
|
|
|
<1056,54>
|
?
|
1056
|
54
|
{54,847/20,297/25; 1,297/100,198/5}
|
1,54,770,231
|
1,180,315,560
|
-
|
-
|
|
-
|
|
|
<1056,143>
|
?
|
1056
|
143
|
{143,512/5,484/25; 1,1408/75,572/5}
|
1,143,780,132
|
1,65,585,405
|
-
|
0123
|
{65,54,27;1,6,39}
|
<1056,405,144,162>
|
|
|
<1058,91>
|
?
|
1058
|
91
|
{91,230/3,16/3; 1,23/3,260/3}
|
1,91,910,56
|
1,273,364,420
|
-
|
-
|
|
<1058,364,165,104>
|
|
|
<1071,50>
|
?
|
1071
|
50
|
{50,289/6,17/2; 1,17/6,85/2}
|
1,50,850,170
|
1,420,350,300
|
-
|
-
|
|
<1071,350,133,105>
|
Y
|
|
<1080,26>
|
?
|
1080
|
26
|
{26,243/10,21; 1,27/10,6}
|
1,26,234,819
|
1,234,728,117
|
-
|
-
|
|
<1080,728,484,504>
|
Y
|
|
<1080,83>
|
-
|
1080
|
83
|
{83,54,21; 1,6,63}
|
1,83,747,249
|
1,83,747,249
|
-
|
0123
|
{83,54,21;1,6,63}
|
<1080,747,522,504>
|
|
Gavrilyuk, Vidali [GV]
|
<1090,108>
|
?
|
1090
|
108
|
{108,23762/245,109/9; 1,2943/245,872/9}
|
1,108,872,109
|
1,252,648,189
|
-
|
-
|
|
<1090,648,402,360>
|
Y
|
|
<1100,49>
|
?
|
1100
|
49
|
{49,1250/33,80/3; 1,125/33,70/3}
|
1,49,490,560
|
1,147,784,168
|
-
|
0123
|
{147,96,24;1,18,112}
|
<1100,784,558,560>
|
|
|
<1120,195>
|
+
|
1120
|
195
|
{195,392/3,175/9; 1,280/9,455/3}
|
1,195,819,105
|
1,39,351,729
|
-
|
0123
|
{39,36,27;1,4,13}
|
<1120,729,468,486>
|
|
Dual Polar Graph B3(3)
|
<1125,60>
|
?
|
1125
|
60
|
{60,56,27; 1,6,30}
|
1,60,560,504
|
1,140,840,144
|
-
|
0123
|
{140,108,18;1,18,105}
|
-
|
|
|
<1125,140>
|
?
|
1125
|
140
|
{140,108,18; 1,18,105}
|
1,140,840,144
|
1,60,560,504
|
-
|
0123
|
{60,56,27;1,6,30}
|
-
|
|
|
<1128,140>
|
-
|
1128
|
140
|
{140,2209/18,47/7; 1,329/18,940/7}
|
1,140,940,47
|
1,315,560,252
|
-
|
-
|
|
<1128,560,316,240>
|
Y
|
No 2-graph
|
<1134,49>
|
-
|
1134
|
49
|
{49,48,644/75; 1,196/75,42}
|
1,49,900,184
|
1,483,350,300
|
-
|
-
|
|
-
|
|
Gavrilyuk, Vidali [GV]
|
<1134,55>
|
?
|
1134
|
55
|
{55,49,14; 1,7/2,35}
|
1,55,770,308
|
1,165,528,440
|
-
|
-
|
|
<1134,528,252,240>
|
|
|
<1140,19>
|
!
|
1140
|
19
|
{19,6400/459,9025/1156; 1,12160/7803,95/68}
|
1,19,170,950
|
1,51,408,680
|
-
|
0123
|
{51,32,15;1,4,9}
|
-
|
|
Johnson J(20,3)
|
<1140,119>
|
?
|
1140
|
119
|
{119,2025/19,150/17; 1,255/19,1890/17}
|
1,119,945,75
|
1,306,595,238
|
-
|
-
|
|
<1140,595,338,280>
|
Y
|
|
<1144,51>
|
?
|
1144
|
51
|
{51,10816/231,208/21; 1,208/77,884/21}
|
1,51,884,208
|
1,378,408,357
|
-
|
-
|
|
<1144,408,162,136>
|
|
|
<1144,54>
|
?
|
1144
|
54
|
{54,1331/26,55/3; 1,99/26,110/3}
|
1,54,726,363
|
1,297,648,198
|
-
|
-
|
|
<1144,648,372,360>
|
Y
|
|
<1156,84>
|
?
|
1156
|
84
|
{84,68,5; 1,17/3,80}
|
1,84,1008,63
|
1,252,336,567
|
-
|
-
|
|
<1156,336,140,80>
|
|
|
<1156,135>
|
?
|
1156
|
135
|
{135,119,10; 1,17,126}
|
1,135,945,75
|
1,270,675,210
|
-
|
-
|
|
<1156,675,418,360>
|
Y
|
|
<1170,84>
|
?
|
1170
|
84
|
{84,65,1440/91; 1,84/13,390/7}
|
1,84,845,240
|
1,91,350,728
|
-
|
-
|
|
<1170,350,115,100>
|
|
|
<1176,125>
|
?
|
1176
|
125
|
{125,98,21; 1,14,105}
|
1,125,875,175
|
1,125,875,175
|
-
|
0123
|
{125,98,21;1,14,105}
|
<1176,875,658,630>
|
|
|
<1176,125>a
|
?
|
1176
|
125
|
{125,112,6; 1,14,120}
|
1,125,1000,50
|
1,375,500,300
|
-
|
-
|
|
<1176,500,256,180>
|
Y
|
|
<1189,40>
|
-
|
1189
|
40
|
{40,5043/203,123/7; 1,615/406,164/7}
|
1,40,656,492
|
1,140,600,448
|
-
|
-
|
|
<1189,600,305,300>
|
|
Gavrilyuk, Vidali [GV]
|
<1200,55>
|
?
|
1200
|
55
|
{55,44,25/9; 1,20/9,55}
|
1,55,1089,55
|
1,297,297,605
|
0321
|
-
|
|
<1200,605,280,330>
|
|
|
<1200,109>
|
?
|
1200
|
109
|
{109,80,22; 1,10,88}
|
1,109,872,218
|
1,109,872,218
|
-
|
0123
|
{109,80,22;1,10,88}
|
<1200,872,640,616>
|
|
|
<1200,109>a
|
?
|
1200
|
109
|
{109,90,11; 1,10,99}
|
1,109,981,109
|
1,218,654,327
|
-
|
-
|
|
<1200,654,378,330>
|
|
|
<1221,120>
|
?
|
1221
|
120
|
{120,3630/37,121/10; 1,440/37,1089/10}
|
1,120,990,110
|
1,200,720,300
|
-
|
-
|
|
<1221,720,444,396>
|
|
|
<1225,90>
|
?
|
1225
|
90
|
{90,84,225/29; 1,210/29,90}
|
1,90,1044,90
|
1,522,522,180
|
0321
|
-
|
|
<1225,180,5,30>
|
|
|
<1240,30>
|
-
|
1240
|
30
|
{30,2883/112,3875/147; 1,1395/784,310/21}
|
1,30,434,775
|
1,378,840,21
|
-
|
0123,0312
|
{378,200,9;1,90,360}
|
-
|
|
BCN Prop 4.1.6 [BCN]
|
<1248,87>
|
?
|
1248
|
87
|
{87,960/13,44/5; 1,80/13,396/5}
|
1,87,1044,116
|
1,290,522,435
|
-
|
-
|
|
<1248,522,246,198>
|
|
|
<1269,140>
|
?
|
1269
|
140
|
{140,2209/18,47/2; 1,329/18,235/2}
|
1,140,940,188
|
1,168,980,120
|
-
|
0123
|
{168,140,18;1,24,147}
|
<1269,980,763,735>
|
Y
|
|
<1275,84>
|
?
|
1275
|
84
|
{84,8670/121,17/2; 1,680/121,153/2}
|
1,84,1071,119
|
1,308,504,462
|
-
|
-
|
|
<1275,504,228,180>
|
|
|
<1288,22>
|
|
1288
|
22
|
{22,2645/126,207/11; 1,253/126,46/11}
|
1,22,230,1035
|
1,330,792,165
|
-
|
-
|
|
<1288,792,476,504>
|
Y
|
M23
|
<1296,35>
|
?
|
1296
|
35
|
{35,28,22; 1,2,14}
|
1,35,490,770
|
1,245,770,280
|
-
|
-
|
|
<1296,770,454,462>
|
|
|
<1296,35>a
|
?
|
1296
|
35
|
{35,135/4,21; 1,9/4,15}
|
1,35,525,735
|
1,350,735,210
|
-
|
-
|
|
<1296,735,414,420>
|
Y
|
|
<1296,37>
|
?
|
1296
|
37
|
{37,28,20; 1,2,14}
|
1,37,518,740
|
1,185,518,592
|
-
|
-
|
|
<1296,518,202,210>
|
|
|
<1326,50>
|
?
|
1326
|
50
|
{50,31212/637,51/25; 1,1275/637,1224/25}
|
1,50,1224,51
|
1,700,100,525
|
-
|
-
|
|
<1326,100,50,4>
|
Y
|
|
<1330,20>
|
!
|
1330
|
20
|
{20,833/57,11200/1377; 1,2380/1539,70/51}
|
1,20,189,1120
|
1,54,459,816
|
-
|
0123
|
{54,34,16;1,4,9}
|
-
|
|
Johnson J(21,3)
|
<1331,30>
|
!
|
1331
|
30
|
{30,20,10; 1,2,3}
|
1,30,300,1000
|
1,30,300,1000
|
-
|
0123
|
{30,20,10;1,2,3}
|
-
|
|
Hamming H(3,11)
|
<1331,30>a
|
-
|
1331
|
30
|
{30,26,28; 1,2,12}
|
1,30,390,910
|
1,390,910,30
|
0231
|
0123,0312
|
{390,210,12;1,90,364}
|
-
|
|
Prop 4.1.6 [BCN]
|
<1331,38>
|
?
|
1331
|
38
|
{38,34,12; 1,2,12}
|
1,38,646,646
|
1,38,646,646
|
-
|
0123
|
{38,34,12;1,2,12}
|
-
|
|
|
<1331,70>
|
?
|
1331
|
70
|
{70,54,28; 1,6,28}
|
1,70,630,630
|
1,70,630,630
|
-
|
0123
|
{70,54,28;1,6,28}
|
-
|
|
|
<1331,70>a
|
?
|
1331
|
70
|
{70,60,21/2; 1,4,105/2}
|
1,70,1050,210
|
1,210,420,700
|
-
|
-
|
|
-
|
|
|
<1331,130>
|
-
|
1331
|
130
|
{130,96,18; 1,12,117}
|
1,130,1040,160
|
1,130,1040,160
|
-
|
0123
|
{130,96,18;1,12,117}
|
-
|
|
Jurisic, Vidali [JV2]
|
<1331,390>
|
-
|
1331
|
390
|
{390,210,12; 1,90,364}
|
1,390,910,30
|
1,30,390,910
|
0312
|
0123,0231
|
{30,26,28;1,2,12}
|
-
|
|
Prop 4.1.6 [BCN]
|
<1342,60>
|
-
|
1342
|
60
|
{60,11163/308,183/7; 1,915/308,244/7}
|
1,60,732,549
|
1,105,900,336
|
-
|
0123
|
{105,60,28;1,7,75}
|
<1342,900,605,600>
|
|
BCN Thm 4.4.4 [BCN]
|
<1344,79>
|
?
|
1344
|
79
|
{79,56,10; 1,4,70}
|
1,79,1106,158
|
1,158,553,632
|
-
|
-
|
|
<1344,553,252,210>
|
|
|
<1344,79>a
|
?
|
1344
|
79
|
{79,1792/25,10; 1,128/25,70}
|
1,79,1106,158
|
1,395,553,395
|
-
|
-
|
|
<1344,553,252,210>
|
|
|
<1344,98>
|
?
|
1344
|
98
|
{98,90,77/6; 1,49/6,84}
|
1,98,1080,165
|
1,308,720,315
|
-
|
-
|
|
-
|
|
|
<1349,70>
|
?
|
1349
|
70
|
{70,10082/171,142/9; 1,710/171,497/9}
|
1,70,994,284
|
1,270,700,378
|
-
|
-
|
|
<1349,700,375,350>
|
|
|
<1365,124>
|
?
|
1365
|
124
|
{124,1400/13,125/8; 1,160/13,875/8}
|
1,124,1085,155
|
1,248,868,248
|
-
|
-
|
|
<1365,868,567,525>
|
|
|
<1365,132>
|
?
|
1365
|
132
|
{132,3920/39,133/16; 1,448/39,1995/16}
|
1,132,1155,77
|
1,176,660,528
|
-
|
-
|
|
<1365,660,355,285>
|
|
|
<1365,140>
|
?
|
1365
|
140
|
{140,104,1225/52; 1,560/39,455/4}
|
1,140,1014,210
|
1,104,936,324
|
-
|
0123
|
{104,81,27;1,9,78}
|
<1365,324,63,81>
|
|
|
<1372,60>
|
?
|
1372
|
60
|
{60,57,16; 1,4,30}
|
1,60,855,456
|
1,60,855,456
|
-
|
0123
|
{60,57,16;1,4,30}
|
-
|
|
|
<1377,80>
|
?
|
1377
|
80
|
{80,1134/17,18; 1,90/17,63}
|
1,80,1008,288
|
1,240,800,336
|
-
|
-
|
|
<1377,800,475,450>
|
|
|
<1395,62>
|
!
|
1395
|
62
|
{62,243/5,2883/98; 1,2511/490,93/4}
|
1,62,588,744
|
1,98,784,512
|
-
|
0123
|
{98,72,32;1,9,49}
|
-
|
|
Grassman (n,3,q)
|
<1395,164>
|
?
|
1395
|
164
|
{164,4050/31,33/2; 1,600/31,297/2}
|
1,164,1107,123
|
1,164,984,246
|
-
|
-
|
|
<1395,984,708,660>
|
|
|
<1407,76>
|
?
|
1407
|
76
|
{76,4410/67,77/10; 1,280/67,693/10}
|
1,76,1197,133
|
1,380,456,570
|
-
|
-
|
|
<1407,456,180,132>
|
|
|
<1408,63>
|
?
|
1408
|
63
|
{63,640/11,34; 1,64/11,30}
|
1,63,630,714
|
1,210,1071,126
|
-
|
0123
|
{210,153,20;1,30,170}
|
<1408,1071,814,816>
|
Y
|
|
<1425,56>
|
?
|
1425
|
56
|
{56,722/15,38/3; 1,38/15,133/3}
|
1,56,1064,304
|
1,360,560,504
|
-
|
-
|
|
<1425,560,235,210>
|
|
|
<1426,45>
|
?
|
1426
|
45
|
{45,2645/62,161/6; 1,207/62,115/6}
|
1,45,575,805
|
1,300,945,180
|
-
|
-
|
|
<1426,945,624,630>
|
Y
|
|
<1445,84>
|
?
|
1445
|
84
|
{84,1275/16,25/4; 1,85/16,315/4}
|
1,84,1260,100
|
1,576,420,448
|
-
|
-
|
|
<1445,420,163,105>
|
Y
|
|
<1456,90>
|
?
|
1456
|
90
|
{90,8281/100,91/3; 1,819/100,182/3}
|
1,90,910,455
|
1,225,1080,150
|
-
|
-
|
|
<1456,1080,804,792>
|
Y
|
|
<1456,90>a
|
?
|
1456
|
90
|
{90,169/2,13; 1,13/2,78}
|
1,90,1170,195
|
1,420,720,315
|
-
|
-
|
|
<1456,720,376,336>
|
Y
|
|
<1456,97>
|
?
|
1456
|
97
|
{97,1176/13,14; 1,98/13,84}
|
1,97,1164,194
|
1,388,776,291
|
-
|
-
|
|
<1456,776,432,392>
|
Y
|
|
<1458,62>
|
?
|
1458
|
62
|
{62,60,7; 1,3,56}
|
1,62,1240,155
|
1,620,372,465
|
-
|
-
|
|
<1458,372,126,84>
|
Y
|
|
<1458,188>
|
?
|
1458
|
188
|
{188,162,21; 1,27,168}
|
1,188,1128,141
|
1,188,1128,141
|
-
|
0123
|
{188,162,21;1,27,168}
|
<1458,1128,882,840>
|
Y
|
|
<1470,104>
|
-
|
1470
|
104
|
{104,70,25; 1,7,80}
|
1,104,1040,325
|
1,104,1040,325
|
-
|
0123
|
{104,70,25;1,7,80}
|
<1470,1040,742,720>
|
|
Gavrilyuk, Vidali [GV]
|
<1485,98>
|
?
|
1485
|
98
|
{98,242/3,22; 1,22/3,77}
|
1,98,1078,308
|
1,210,980,294
|
-
|
-
|
|
<1485,980,655,630>
|
|
|
<1520,49>
|
?
|
1520
|
49
|
{49,900/19,20; 1,50/19,30}
|
1,49,882,588
|
1,441,784,294
|
-
|
-
|
|
<1520,784,408,400>
|
Y
|
|
<1520,56>
|
?
|
1520
|
56
|
{56,361/7,912/49; 1,152/49,228/7}
|
1,56,931,532
|
1,245,784,490
|
-
|
-
|
|
<1520,784,408,400>
|
|
|
<1540,21>
|
!
|
1540
|
21
|
{21,1452/95,9163/1083; 1,2772/1805,77/57}
|
1,21,209,1309
|
1,57,513,969
|
-
|
0123
|
{57,36,17;1,4,9}
|
-
|
|
Johnson J(22,3)
|
<1540,54>
|
?
|
1540
|
54
|
{54,300/7,15; 1,15/7,40}
|
1,54,1080,405
|
1,297,648,594
|
-
|
-
|
|
<1540,648,284,264>
|
|
|
<1540,54>a
|
-
|
1540
|
54
|
{54,363/8,33; 1,33/8,22}
|
1,54,594,891
|
1,216,1134,189
|
-
|
0123
|
{216,147,28;1,28,168}
|
<1540,1134,833,840>
|
|
BCN Thm 4.4.4 [BCN]
|
<1540,54>b
|
?
|
1540
|
54
|
{54,363/7,22; 1,22/7,33}
|
1,54,891,594
|
1,405,864,270
|
-
|
-
|
|
<1540,864,488,480>
|
Y
|
|
<1540,76>
|
?
|
1540
|
76
|
{76,363/5,11; 1,22/5,66}
|
1,76,1254,209
|
1,532,608,399
|
-
|
-
|
|
<1540,608,264,224>
|
Y
|
|
<1540,216>
|
?
|
1540
|
216
|
{216,1715/11,224/15; 1,1512/55,560/3}
|
1,216,1225,98
|
1,90,504,945
|
-
|
-
|
|
-
|
|
|
<1548,35>
|
-
|
1548
|
35
|
{35,2187/86,45/2; 1,135/86,27/2}
|
1,35,567,945
|
1,252,875,420
|
-
|
-
|
|
<1548,875,490,500>
|
|
Gavrilyuk, Vidali [GV], Kodalen, Martin [KM]
|
<1548,35>a
|
?
|
1548
|
35
|
{35,1458/43,45/2; 1,90/43,27/2}
|
1,35,567,945
|
1,420,875,252
|
-
|
-
|
|
<1548,875,490,500>
|
Y
|
|
<1581,50>
|
?
|
1581
|
50
|
{50,4046/93,34/3; 1,170/93,119/3}
|
1,50,1190,340
|
1,450,500,630
|
-
|
-
|
|
<1581,500,175,150>
|
|
|
<1596,55>
|
?
|
1596
|
55
|
{55,882/19,20; 1,49/19,36}
|
1,55,990,550
|
1,330,825,440
|
-
|
-
|
|
<1596,825,432,420>
|
|
|
<1596,132>
|
?
|
1596
|
132
|
{132,361/3,19; 1,38/3,114}
|
1,132,1254,209
|
1,308,1056,231
|
-
|
-
|
|
<1596,1056,712,672>
|
Y
|
|
<1600,39>
|
?
|
1600
|
39
|
{39,75/2,25; 1,5/2,15}
|
1,39,585,975
|
1,390,975,234
|
-
|
-
|
|
<1600,975,590,600>
|
Y
|
|
<1600,234>
|
-
|
1600
|
234
|
{234,165,12; 1,30,198}
|
1,234,1287,78
|
1,78,234,1287
|
-
|
0231
|
{234,165,12;1,30,198}
|
<1600,1287,1030,1056>
|
|
Vidali [V]
|
<1617,48>
|
?
|
1617
|
48
|
{48,735/22,35/2; 1,35/22,63/2}
|
1,48,1008,560
|
1,224,720,672
|
-
|
-
|
|
<1617,720,327,315>
|
|
|
<1617,48>a
|
?
|
1617
|
48
|
{48,7203/176,35/2; 1,343/176,63/2}
|
1,48,1008,560
|
1,384,720,512
|
-
|
-
|
|
<1617,720,327,315>
|
|
|
<1632,135>
|
?
|
1632
|
135
|
{135,3179/28,765/49; 1,2295/196,765/7}
|
1,135,1309,187
|
1,168,770,693
|
-
|
-
|
|
-
|
|
|
<1680,69>
|
-
|
1680
|
69
|
{69,30,25; 1,2,45}
|
1,69,1035,575
|
1,69,1035,575
|
-
|
0123
|
{69,30,25;1,2,45}
|
<1680,1035,642,630>
|
|
BCN Prop 5.5.1 [BCN]
|
<1680,69>a
|
-
|
1680
|
69
|
{69,42,7; 1,2,63}
|
1,69,1449,161
|
1,138,414,1127
|
-
|
-
|
|
<1680,414,138,90>
|
|
Gavrilyuk, Vidali [GV]
|
<1680,69>b
|
?
|
1680
|
69
|
{69,3675/64,25; 1,245/64,45}
|
1,69,1035,575
|
1,276,1035,368
|
-
|
-
|
|
<1680,1035,642,630>
|
|
|
<1680,69>c
|
?
|
1680
|
69
|
{69,7350/121,7; 1,350/121,63}
|
1,69,1449,161
|
1,506,414,759
|
-
|
-
|
|
<1680,414,138,90>
|
|
|
<1680,69>d
|
?
|
1680
|
69
|
{69,4125/64,25; 1,275/64,45}
|
1,69,1035,575
|
1,368,1035,276
|
-
|
-
|
|
<1680,1035,642,630>
|
|
|
<1680,69>e
|
?
|
1680
|
69
|
{69,196/3,28; 1,14/3,42}
|
1,69,966,644
|
1,345,1104,230
|
-
|
-
|
|
<1680,1104,728,720>
|
Y
|
|
<1680,69>f
|
?
|
1680
|
69
|
{69,200/3,10; 1,10/3,60}
|
1,69,1380,230
|
1,644,552,483
|
-
|
-
|
|
<1680,552,208,168>
|
Y
|
|
<1680,146>
|
?
|
1680
|
146
|
{146,1323/10,21; 1,147/10,126}
|
1,146,1314,219
|
1,292,1168,219
|
-
|
-
|
|
<1680,1168,824,784>
|
Y
|
|
<1701,160>
|
?
|
1701
|
160
|
{160,245/2,14; 1,14,140}
|
1,160,1400,140
|
1,160,640,900
|
-
|
-
|
|
<1701,900,459,495>
|
|
|
<1702,45>
|
-
|
1702
|
45
|
{45,4761/148,115/4; 1,345/148,69/4}
|
1,45,621,1035
|
1,216,1125,360
|
-
|
-
|
|
<1702,1125,740,750>
|
|
Gavrilyuk, Vidali [GV]
|
<1702,45>a
|
?
|
1702
|
45
|
{45,1587/37,115/4; 1,115/37,69/4}
|
1,45,621,1035
|
1,360,1125,216
|
-
|
-
|
|
<1702,1125,740,750>
|
Y
|
|
<1716,77>
|
!
|
1716
|
77
|
{77,3380/63,1573/49; 1,2860/441,143/7}
|
1,77,637,1001
|
1,49,441,1225
|
-
|
0123
|
{49,36,25;1,4,9}
|
-
|
|
Partition Graph (7,7), unique by Metsch
|
<1716,98>
|
-
|
1716
|
98
|
{98,60,27; 1,5,72}
|
1,98,1176,441
|
1,98,1176,441
|
-
|
0123
|
{98,60,27;1,5,72}
|
<1716,1176,812,792>
|
|
Thm 1.16.3 with Thm 4.4.4 [BCN]
|
<1716,98>a
|
?
|
1716
|
98
|
{98,1210/13,33/7; 1,77/13,660/7}
|
1,98,1540,77
|
1,735,392,588
|
-
|
-
|
|
<1716,392,148,72>
|
Y
|
|
<1728,33>
|
!
|
1728
|
33
|
{33,22,11; 1,2,3}
|
1,33,363,1331
|
1,33,363,1331
|
-
|
0123
|
{33,22,11;1,2,3}
|
-
|
|
Hamming H(3,12)
|
<1728,63>
|
?
|
1728
|
63
|
{63,16384/275,1944/121; 1,9216/3025,504/11}
|
1,63,1232,432
|
1,462,770,495
|
-
|
-
|
|
-
|
|
|
<1728,77>
|
?
|
1728
|
77
|
{77,60,32; 1,6,28}
|
1,77,770,880
|
1,77,770,880
|
-
|
0123
|
{77,60,32;1,6,28}
|
-
|
|
|
<1728,110>
|
?
|
1728
|
110
|
{110,189/2,15; 1,15/2,90}
|
1,110,1386,231
|
1,264,770,693
|
-
|
-
|
|
-
|
|
|
<1728,143>
|
?
|
1728
|
143
|
{143,108,27; 1,12,117}
|
1,143,1287,297
|
1,143,1287,297
|
-
|
0123
|
{143,108,27;1,12,117}
|
<1728,1287,966,936>
|
|
|
<1728,143>a
|
?
|
1728
|
143
|
{143,120,14; 1,12,130}
|
1,143,1430,154
|
1,286,1001,440
|
-
|
-
|
|
<1728,1001,604,546>
|
|
|
<1729,64>
|
?
|
1729
|
64
|
{64,3549/76,65/8; 1,39/19,455/8}
|
1,64,1456,208
|
1,256,448,1024
|
-
|
-
|
|
<1729,448,147,105>
|
|
|
<1729,64>a
|
?
|
1729
|
64
|
{64,28392/475,65/8; 1,1248/475,455/8}
|
1,64,1456,208
|
1,640,448,640
|
-
|
-
|
|
<1729,448,147,105>
|
|
|
<1740,74>
|
?
|
1740
|
74
|
{74,1701/29,30; 1,126/29,45}
|
1,74,999,666
|
1,222,1184,333
|
-
|
-
|
|
<1740,1184,808,800>
|
|
|
<1740,74>a
|
?
|
1740
|
74
|
{74,2025/29,30; 1,150/29,45}
|
1,74,999,666
|
1,333,1184,222
|
-
|
-
|
|
<1740,1184,808,800>
|
Y
|
|
<1771,22>
|
!
|
1771
|
22
|
{22,10051/630,8349/950; 1,4807/3150,253/190}
|
1,22,230,1518
|
1,60,570,1140
|
-
|
0123
|
{60,38,18;1,4,9}
|
-
|
|
Johnson J(23,3)
|
<1782,26>
|
?
|
1782
|
26
|
{26,270/11,23; 1,27/11,4}
|
1,26,260,1495
|
1,390,1196,195
|
-
|
-
|
|
<1782,1196,790,828>
|
Y
|
|
<1782,65>
|
?
|
1782
|
65
|
{65,121/2,77/2; 1,11/2,55/2}
|
1,65,715,1001
|
1,260,1365,156
|
-
|
0123
|
{260,189,24;1,36,210}
|
<1782,1365,1044,1050>
|
Y
|
|
<1792,63>
|
?
|
1792
|
63
|
{63,48,294/25; 1,56/25,42}
|
1,63,1350,378
|
1,225,216,1350
|
-
|
-
|
|
<1792,216,40,24>
|
|
|
<1792,63>a
|
?
|
1792
|
63
|
{63,1280/21,52/3; 1,64/21,140/3}
|
1,63,1260,468
|
1,567,819,405
|
-
|
-
|
|
<1792,819,386,364>
|
Y
|
|
<1792,63>b
|
?
|
1792
|
63
|
{63,1536/25,196/9; 1,896/225,28}
|
1,63,972,756
|
1,90,1215,486
|
-
|
0123
|
{90,81,20;1,6,50}
|
-
|
|
|
<1792,99>
|
?
|
1792
|
99
|
{99,96,6; 1,6,88}
|
1,99,1584,108
|
1,504,693,594
|
-
|
-
|
|
-
|
|
|
<1792,199>
|
-
|
1792
|
199
|
{199,168,25; 1,24,175}
|
1,199,1393,199
|
1,199,1393,199
|
-
|
0123
|
{199,168,25;1,24,175}
|
<1792,1393,1092,1050>
|
|
Coolsaet, Jurisic [CJ]
|
<1820,51>
|
-
|
1820
|
51
|
{51,507/14,65/2; 1,39/14,39/2}
|
1,51,663,1105
|
1,204,1275,340
|
-
|
0123
|
{204,125,40;1,20,150}
|
<1820,1275,890,900>
|
|
BCN Thm 4.4.4 [BCN]
|
<1820,51>a
|
?
|
1820
|
51
|
{51,338/7,65/2; 1,26/7,39/2}
|
1,51,663,1105
|
1,340,1275,204
|
-
|
-
|
|
<1820,1275,890,900>
|
Y
|
|
<1833,140>
|
-
|
1833
|
140
|
{140,4418/39,94/3; 1,470/39,329/3}
|
1,140,1316,376
|
1,180,1400,252
|
-
|
0123
|
{180,140,27;1,18,150}
|
<1833,1400,1075,1050>
|
|
BCN Thm 4.4.4 [BCN]
|
<1836,35>
|
-
|
1836
|
35
|
{35,480/17,124/5; 1,30/17,56/5}
|
1,35,560,1240
|
1,350,1085,400
|
-
|
-
|
|
<1836,1085,634,651>
|
|
Kodalen, Martin [KM]
|
<1836,35>a
|
?
|
1836
|
35
|
{35,2592/85,124/5; 1,162/85,56/5}
|
1,35,560,1240
|
1,400,1085,350
|
-
|
-
|
|
<1836,1085,634,651>
|
|
|
<1863,98>
|
?
|
1863
|
98
|
{98,1944/23,99/7; 1,126/23,594/7}
|
1,98,1512,252
|
1,392,882,588
|
-
|
-
|
|
<1863,882,441,396>
|
|
|
<1885,144>
|
?
|
1885
|
144
|
{144,5887/52,29/3; 1,261/26,406/3}
|
1,144,1624,116
|
1,252,864,768
|
-
|
-
|
|
<1885,864,438,360>
|
|
|
<1904,55>
|
?
|
1904
|
55
|
{55,882/17,35; 1,70/17,21}
|
1,55,693,1155
|
1,330,1375,198
|
-
|
-
|
|
<1904,1375,990,1000>
|
Y
|
|
<1911,195>
|
?
|
1911
|
195
|
{195,1925/12,169/24; 1,455/24,715/4}
|
1,195,1650,65
|
1,270,540,1100
|
-
|
-
|
|
<1911,1100,613,660>
|
|
|
<1920,57>
|
?
|
1920
|
57
|
{57,56,27; 1,3,36}
|
1,57,1064,798
|
1,665,1064,190
|
-
|
-
|
|
-
|
|
|
<1920,63>
|
?
|
1920
|
63
|
{63,20480/361,72/5; 1,4608/1805,840/19}
|
1,63,1400,456
|
1,399,665,855
|
-
|
-
|
|
-
|
|
|
<1920,95>
|
?
|
1920
|
95
|
{95,448/5,26; 1,32/5,70}
|
1,95,1330,494
|
1,399,1235,285
|
-
|
-
|
|
<1920,1235,802,780>
|
Y
|
|
<1936,43>
|
?
|
1936
|
43
|
{43,165/4,29; 1,11/4,15}
|
1,43,645,1247
|
1,430,1247,258
|
-
|
-
|
|
<1936,1247,798,812>
|
Y
|
|
<1936,54>
|
?
|
1936
|
54
|
{54,209/4,25; 1,11/4,30}
|
1,54,1026,855
|
1,513,1080,342
|
-
|
-
|
|
<1936,1080,604,600>
|
Y
|
|
<1944,29>
|
-
|
1944
|
29
|
{29,22,25; 1,2,5}
|
1,29,319,1595
|
1,319,1305,319
|
-
|
-
|
|
<1944,1305,864,900>
|
|
Gavrilyuk, Vidali [GV], Kodalen, Martin [KM]
|
<1944,58>
|
?
|
1944
|
58
|
{58,55,8; 1,2,44}
|
1,58,1595,290
|
1,435,638,870
|
-
|
-
|
|
<1944,638,232,198>
|
|
|
<1944,67>
|
?
|
1944
|
67
|
{67,160/3,16; 1,8/3,40}
|
1,67,1340,536
|
1,201,402,1340
|
-
|
-
|
|
-
|
|
|
<1944,134>
|
?
|
1944
|
134
|
{134,108,15; 1,9,120}
|
1,134,1608,201
|
1,268,1072,603
|
-
|
-
|
|
<1944,1072,616,560>
|
|
|
<1944,134>a
|
?
|
1944
|
134
|
{134,117,5; 1,9,130}
|
1,134,1742,67
|
1,536,536,871
|
-
|
-
|
|
<1944,536,220,120>
|
|
|
<1975,78>
|
?
|
1975
|
78
|
{78,6241/100,79/4; 1,1027/300,237/4}
|
1,78,1422,474
|
1,312,1014,648
|
-
|
-
|
|
<1975,1014,533,507>
|
|
|
<1976,25>
|
-
|
1976
|
25
|
{25,1352/57,338/15; 1,130/57,52/15}
|
1,25,260,1690
|
1,450,1300,225
|
-
|
-
|
|
<1976,1300,840,884>
|
Y
|
Kodalen, Martin [KM]
|
<1978,42>
|
?
|
1978
|
42
|
{42,16641/460,1333/45; 1,1161/460,602/45}
|
1,42,602,1333
|
1,360,1302,315
|
-
|
-
|
|
<1978,1302,851,868>
|
|
|
<2001,160>
|
?
|
2001
|
160
|
{160,7935/58,161/16; 1,368/29,2415/16}
|
1,160,1725,115
|
1,400,960,640
|
-
|
-
|
|
<2001,960,504,420>
|
|
|
<2013,60>
|
?
|
2013
|
60
|
{60,3721/66,305/8; 1,305/66,183/8}
|
1,60,732,1220
|
1,320,1500,192
|
-
|
-
|
|
<2013,1500,1115,1125>
|
Y
|
|
<2016,62>
|
-
|
2016
|
62
|
{62,1215/32,33; 1,81/32,30}
|
1,62,930,1023
|
1,155,1364,496
|
-
|
0123
|
{155,88,40;1,10,110}
|
<2016,1364,922,924>
|
|
BCN Thm 4.4.4 [BCN]
|
<2016,62>a
|
?
|
2016
|
62
|
{62,11907/242,21; 1,567/242,42}
|
1,62,1302,651
|
1,341,992,682
|
-
|
-
|
|
<2016,992,496,480>
|
|
|
<2016,62>b
|
?
|
2016
|
62
|
{62,243/4,9; 1,9/4,54}
|
1,62,1674,279
|
1,868,496,651
|
-
|
-
|
|
<2016,496,152,112>
|
Y
|
|
<2016,65>
|
?
|
2016
|
65
|
{65,360/7,22; 1,18/7,44}
|
1,65,1300,650
|
1,325,1040,650
|
-
|
-
|
|
<2016,1040,544,528>
|
|
|
<2016,65>a
|
?
|
2016
|
65
|
{65,405/7,33/5; 1,15/7,297/5}
|
1,65,1755,195
|
1,650,390,975
|
-
|
-
|
|
<2016,390,114,66>
|
|
|
<2016,195>
|
-
|
2016
|
195
|
{195,160,28; 1,20,168}
|
1,195,1560,260
|
1,195,1560,260
|
-
|
0123
|
{195,160,28;1,20,168}
|
<2016,1560,1216,1176>
|
|
Gavrilyuk, Vidali [GV]
|
<2016,195>a
|
+
|
2016
|
195
|
{195,1568/9,28; 1,196/9,168}
|
1,195,1560,260
|
1,260,1560,195
|
-
|
-
|
|
<2016,1560,1216,1176>
|
Y
|
Relative Hemisystems of GQ(8,64)
|
<2024,23>
|
!
|
2024
|
23
|
{23,1280/77,20102/2205; 1,7360/4851,46/35}
|
1,23,252,1748
|
1,63,630,1330
|
-
|
0123
|
{63,40,19;1,4,9}
|
-
|
|
Johnson J(24,3)
|
<2025,22>
|
|
2025
|
22
|
{22,21,625/33; 1,11/6,30/11}
|
1,22,252,1750
|
1,462,1232,330
|
-
|
-
|
|
-
|
|
Derived Design of Leech Lattice
|
<2025,44>
|
?
|
2025
|
44
|
{44,35,31; 1,5/2,14}
|
1,44,616,1364
|
1,308,1364,352
|
-
|
-
|
|
<2025,1364,913,930>
|
|
|
<2025,88>
|
?
|
2025
|
88
|
{88,84,625/24; 1,16/3,525/8}
|
1,88,1386,550
|
1,528,1232,264
|
-
|
-
|
|
-
|
|
|
<2044,72>
|
?
|
2044
|
72
|
{72,5329/105,73/3; 1,292/105,146/3}
|
1,72,1314,657
|
1,216,1152,675
|
-
|
-
|
|
<2044,1152,656,640>
|
|
|
<2048,23>
|
|
2048
|
23
|
{23,22,21; 1,2,3}
|
1,23,253,1771
|
1,506,1288,253
|
0231
|
-
|
|
<2048,1288,792,840>
|
Y
|
Words of weight divisible by 4 in Binary Golay
|
<2048,253>
|
|
2048
|
253
|
{253,210,3; 1,30,231}
|
1,253,1771,23
|
1,253,506,1288
|
0312
|
-
|
|
<2048,1288,792,840>
|
|
Words of weight divisible by 4 in Binary Golay
|
<2058,68>
|
?
|
2058
|
68
|
{68,65,32; 1,4,40}
|
1,68,1105,884
|
1,510,1326,221
|
-
|
-
|
|
-
|
|
|
<2060,29>
|
?
|
2060
|
29
|
{29,2800/103,750/29; 1,290/103,120/29}
|
1,29,280,1750
|
1,406,1450,203
|
-
|
-
|
|
<2060,1450,1008,1050>
|
Y
|
|
<2080,39>
|
?
|
2080
|
39
|
{39,1000/27,5915/243; 1,520/243,325/27}
|
1,39,675,1365
|
1,378,1215,486
|
-
|
-
|
|
<2080,1215,702,720>
|
|
|
<2080,54>
|
?
|
2080
|
54
|
{54,1125/26,55/3; 1,45/26,110/3}
|
1,54,1350,675
|
1,405,864,810
|
-
|
-
|
|
<2080,864,368,352>
|
|
|
<2080,99>
|
?
|
2080
|
99
|
{99,3200/39,100/9; 1,60/13,800/9}
|
1,99,1760,220
|
1,396,792,891
|
-
|
-
|
|
<2080,792,336,280>
|
|
|
<2080,99>a
|
?
|
2080
|
99
|
{99,1200/13,40; 1,100/13,60}
|
1,99,1188,792
|
1,297,1584,198
|
-
|
-
|
|
<2080,1584,1208,1200>
|
Y
|
|
<2106,65>
|
-
|
2106
|
65
|
{65,64,676/25; 1,104/25,26}
|
1,65,1000,1040
|
1,125,1500,480
|
-
|
0123
|
{125,108,24;1,9,75}
|
-
|
|
Gavrilyuk, Vidali [GV]
|
<2112,110>
|
?
|
2112
|
110
|
{110,207/2,121/3; 1,55/6,66}
|
1,110,1242,759
|
1,225,1656,230
|
-
|
0123
|
{225,184,25;1,25,180}
|
-
|
|
Vidali Thesis (Slovene), [V]
|
<2120,39>
|
?
|
2120
|
39
|
{39,2000/53,55/2; 1,120/53,25/2}
|
1,39,650,1430
|
1,520,1287,312
|
-
|
-
|
|
<2120,1287,774,792>
|
Y
|
|
<2125,84>
|
?
|
2125
|
84
|
{84,1445/18,51/2; 1,85/18,119/2}
|
1,84,1428,612
|
1,504,1260,360
|
-
|
-
|
|
<2125,1260,755,735>
|
Y
|
|
<2145,64>
|
?
|
2145
|
64
|
{64,1352/27,13; 1,52/27,52}
|
1,64,1664,416
|
1,384,704,1056
|
-
|
-
|
|
<2145,704,253,220>
|
|
|
<2145,64>a
|
?
|
2145
|
64
|
{64,76050/1331,13/2; 1,2600/1331,117/2}
|
1,64,1872,208
|
1,704,384,1056
|
-
|
-
|
|
<2145,384,108,60>
|
|
|
<2159,126>
|
?
|
2159
|
126
|
{126,16129/136,127/8; 1,1143/136,889/8}
|
1,126,1778,254
|
1,576,1134,448
|
-
|
-
|
|
<2159,1134,621,567>
|
Y
|
|
<2160,119>
|
?
|
2160
|
119
|
{119,90,15; 1,6,105}
|
1,119,1785,255
|
1,238,1071,850
|
-
|
-
|
|
<2160,1071,558,504>
|
|
|
<2160,119>a
|
?
|
2160
|
119
|
{119,96,8; 1,6,112}
|
1,119,1904,136
|
1,357,714,1088
|
-
|
-
|
|
<2160,714,288,210>
|
|
|
<2160,119>b
|
?
|
2160
|
119
|
{119,225/2,15; 1,15/2,105}
|
1,119,1785,255
|
1,612,1071,476
|
-
|
-
|
|
<2160,1071,558,504>
|
Y
|
|
<2176,84>
|
?
|
2176
|
84
|
{84,289/4,85/9; 1,119/36,68}
|
1,84,1836,255
|
1,420,432,1323
|
-
|
-
|
|
-
|
|
|
<2176,87>
|
?
|
2176
|
87
|
{87,1152/17,88/3; 1,72/17,176/3}
|
1,87,1392,696
|
1,261,1392,522
|
-
|
-
|
|
<2176,1392,896,880>
|
|
|
<2176,135>
|
?
|
2176
|
135
|
{135,2023/16,17; 1,153/16,119}
|
1,135,1785,255
|
1,540,1215,420
|
-
|
-
|
|
<2176,1215,702,648>
|
Y
|
|
<2184,111>
|
?
|
2184
|
111
|
{111,1176/13,40; 1,98/13,72}
|
1,111,1332,740
|
1,222,1665,296
|
-
|
0123
|
{222,165,32;1,22,180}
|
<2184,1665,1272,1260>
|
|
|
<2184,111>a
|
?
|
2184
|
111
|
{111,1372/13,14; 1,84/13,98}
|
1,111,1813,259
|
1,666,999,518
|
-
|
-
|
|
<2184,999,486,432>
|
Y
|
|
<2185,114>
|
-
|
2185
|
114
|
{114,4761/65,58121/1521; 1,11799/1690,6118/117}
|
1,114,1196,874
|
1,78,234,1872
|
-
|
-
|
|
-
|
|
Gavrilyuk, Vidali [GV]
|
<2197,36>
|
-
|
2197
|
36
|
{36,45/2,45/2; 1,3/2,15/2}
|
1,36,540,1620
|
1,216,360,1620
|
-
|
-
|
|
-
|
|
Gavrilyuk, Vidali [GV]
|
<2197,36>a
|
!
|
2197
|
36
|
{36,24,12; 1,2,3}
|
1,36,432,1728
|
1,36,432,1728
|
-
|
0123
|
{36,24,12;1,2,3}
|
-
|
|
Hamming H(3,13)
|
<2197,84>
|
?
|
2197
|
84
|
{84,66,36; 1,6,28}
|
1,84,924,1188
|
1,84,924,1188
|
-
|
0123
|
{84,66,36;1,6,28}
|
-
|
|
|
<2197,126>
|
-
|
2197
|
126
|
{126,90,10; 1,6,105}
|
1,126,1890,180
|
1,180,126,1890
|
-
|
0231
|
{126,90,10;1,6,105}
|
-
|
|
Gavrilyuk, Vidali [GV]
|
<2197,132>
|
?
|
2197
|
132
|
{132,120,21/4; 1,8,495/4}
|
1,132,1980,84
|
1,660,528,1008
|
-
|
-
|
|
-
|
|
|
<2197,156>
|
?
|
2197
|
156
|
{156,120,36; 1,12,117}
|
1,156,1560,480
|
1,156,1560,480
|
-
|
0123
|
{156,120,36;1,12,117}
|
-
|
|
|
<2205,58>
|
?
|
2205
|
58
|
{58,40,343/10; 1,16/5,35/2}
|
1,58,725,1421
|
1,174,870,1160
|
-
|
-
|
|
-
|
|
|
<2205,76>
|
?
|
2205
|
76
|
{76,336/5,11; 1,14/5,66}
|
1,76,1824,304
|
1,608,684,912
|
-
|
-
|
|
<2205,684,243,198>
|
|
|
<2205,76>a
|
?
|
2205
|
76
|
{76,70,36/5; 1,14/5,60}
|
1,76,1900,228
|
1,380,684,1140
|
-
|
-
|
|
<2205,684,243,198>
|
|
|
<2205,174>
|
?
|
2205
|
174
|
{174,154,10; 1,14,165}
|
1,174,1914,116
|
1,522,1044,638
|
-
|
-
|
|
<2205,1044,543,450>
|
|
|
<2220,147>
|
?
|
2220
|
147
|
{147,1369/10,37/2; 1,111/10,259/2}
|
1,147,1813,259
|
1,504,1323,392
|
-
|
-
|
|
<2220,1323,810,756>
|
Y
|
|
<2226,105>
|
?
|
2226
|
105
|
{105,2809/28,53/4; 1,159/28,371/4}
|
1,105,1855,265
|
1,720,945,560
|
-
|
-
|
|
<2226,945,432,378>
|
Y
|
|
<2236,90>
|
?
|
2236
|
90
|
{90,3718/43,91/5; 1,195/43,364/5}
|
1,90,1716,429
|
1,660,1080,495
|
-
|
-
|
|
<2236,1080,540,504>
|
Y
|
|
<2250,273>
|
?
|
2250
|
273
|
{273,192,14; 1,28,252}
|
1,273,1872,104
|
1,117,728,1404
|
-
|
-
|
|
-
|
|
|
<2254,45>
|
?
|
2254
|
45
|
{45,2116/49,253/8; 1,138/49,115/8}
|
1,45,690,1518
|
1,480,1485,288
|
-
|
-
|
|
<2254,1485,972,990>
|
Y
|
|
<2268,96>
|
?
|
2268
|
96
|
{96,91,80/7; 1,32/7,84}
|
1,96,1911,260
|
1,720,819,728
|
-
|
-
|
|
-
|
|
|
<2300,24>
|
!
|
2300
|
24
|
{24,4375/253,8000/847; 1,4200/2783,100/77}
|
1,24,275,2000
|
1,66,693,1540
|
-
|
0123
|
{66,42,20;1,4,9}
|
-
|
|
Johnson J(25,3)
|
<2300,99>
|
?
|
2300
|
99
|
{99,4375/46,25/2; 1,225/46,175/2}
|
1,99,1925,275
|
1,792,891,616
|
-
|
-
|
|
<2300,891,378,324>
|
Y
|
|
<2300,114>
|
?
|
2300
|
114
|
{114,529/5,46; 1,46/5,69}
|
1,114,1311,874
|
1,285,1824,190
|
-
|
0123
|
{285,224,25;1,35,240}
|
<2300,1824,1448,1440>
|
Y
|
|
<2300,114>a
|
?
|
2300
|
114
|
{114,5290/49,23; 1,345/49,92}
|
1,114,1748,437
|
1,532,1368,399
|
-
|
-
|
|
<2300,1368,828,792>
|
Y
|
|
<2304,47>
|
-
|
2304
|
47
|
{47,135/4,33; 1,9/4,15}
|
1,47,705,1551
|
1,282,1551,470
|
-
|
-
|
|
<2304,1551,1038,1056>
|
|
Gavrilyuk, Vidali [GV]
|
<2304,47>a
|
?
|
2304
|
47
|
{47,45,33; 1,3,15}
|
1,47,705,1551
|
1,470,1551,282
|
-
|
-
|
|
<2304,1551,1038,1056>
|
Y
|
|
<2304,98>
|
?
|
2304
|
98
|
{98,1215/16,33; 1,81/16,66}
|
1,98,1470,735
|
1,245,1568,490
|
-
|
-
|
|
<2304,1568,1072,1056>
|
|
|
<2304,98>a
|
?
|
2304
|
98
|
{98,81,36; 1,6,54}
|
1,98,1323,882
|
1,196,1323,784
|
-
|
-
|
|
<2304,1323,762,756>
|
|
|
<2304,147>
|
?
|
2304
|
147
|
{147,140,27; 1,12,105}
|
1,147,1715,441
|
1,147,1715,441
|
-
|
0123
|
{147,140,27;1,12,105}
|
<2304,1715,1282,1260>
|
|
|
<2324,69>
|
?
|
2324
|
69
|
{69,5488/83,770/23; 1,322/83,840/23}
|
1,69,1176,1078
|
1,483,1518,322
|
-
|
-
|
|
<2324,1518,992,990>
|
Y
|
|
<2349,260>
|
?
|
2349
|
260
|
{260,841/4,203/8; 1,29,1885/8}
|
1,260,1885,203
|
1,208,1820,320
|
-
|
0123
|
{208,175,32;1,20,182}
|
<2349,1820,1423,1365>
|
|
|
<2350,174>
|
?
|
2350
|
174
|
{174,7500/47,875/29; 1,725/47,4200/29}
|
1,174,1800,375
|
1,348,1740,261
|
-
|
-
|
|
<2350,1740,1298,1260>
|
Y
|
|
<2376,76>
|
?
|
2376
|
76
|
{76,363/5,44/3; 1,44/15,66}
|
1,76,1881,418
|
1,912,950,513
|
-
|
-
|
|
-
|
|
|
<2376,95>
|
-
|
2376
|
95
|
{95,63,12; 1,3,84}
|
1,95,1995,285
|
1,190,855,1330
|
-
|
-
|
|
<2376,855,342,288>
|
|
Gavrilyuk, Vidali [GV]
|
<2376,95>a
|
?
|
2376
|
95
|
{95,864/11,192/5; 1,60/11,288/5}
|
1,95,1368,912
|
1,285,1710,380
|
-
|
-
|
|
<2376,1710,1233,1224>
|
|
|
<2376,125>
|
?
|
2376
|
125
|
{125,1296/11,126/5; 1,90/11,504/5}
|
1,125,1800,450
|
1,500,1500,375
|
-
|
-
|
|
<2376,1500,960,924>
|
Y
|
|
<2376,175>
|
?
|
2376
|
175
|
{175,484/3,22; 1,44/3,154}
|
1,175,1925,275
|
1,450,1575,350
|
-
|
-
|
|
<2376,1575,1062,1008>
|
Y
|
|
<2380,195>
|
?
|
2380
|
195
|
{195,2940/17,98/13; 1,273/17,2450/13}
|
1,195,2100,84
|
1,624,975,780
|
-
|
-
|
|
<2380,975,470,350>
|
|
|
<2401,48>
|
-
|
2401
|
48
|
{48,30,29; 1,3/2,20}
|
1,48,960,1392
|
1,240,1392,768
|
-
|
-
|
|
<2401,1392,803,812>
|
|
Gavrilyuk, Vidali [GV]
|
<2401,88>
|
?
|
2401
|
88
|
{88,84,39/7; 1,24/7,77}
|
1,88,2156,156
|
1,728,616,1056
|
-
|
-
|
|
-
|
|
|
<2401,90>
|
?
|
2401
|
90
|
{90,245/3,7; 1,7/2,70}
|
1,90,2100,210
|
1,240,810,1350
|
-
|
-
|
|
-
|
|
|
<2401,100>
|
-
|
2401
|
100
|
{100,60,52; 1,6,40}
|
1,100,1000,1300
|
1,100,1000,1300
|
-
|
0123
|
{100,60,52;1,6,40}
|
<2401,1000,411,420>
|
|
Thm 1.16.3 with Thm 4.4.4 [BCN]
|
<2401,150>
|
?
|
2401
|
150
|
{150,136,33; 1,12,102}
|
1,150,1700,550
|
1,150,1700,550
|
-
|
0123
|
{150,136,33;1,12,102}
|
<2401,1700,1209,1190>
|
|
|
<2415,68>
|
?
|
2415
|
68
|
{68,116380/2023,23/2; 1,4048/2023,115/2}
|
1,68,1955,391
|
1,578,680,1156
|
-
|
-
|
|
<2415,680,220,180>
|
|
|
<2415,68>a
|
?
|
2415
|
68
|
{68,2645/42,23/2; 1,46/21,115/2}
|
1,68,1955,391
|
1,816,680,918
|
-
|
-
|
|
<2415,680,220,180>
|
|
|
<2416,150>
|
?
|
2416
|
150
|
{150,22801/168,453/49; 1,3775/392,906/7}
|
1,150,2114,151
|
1,350,945,1120
|
-
|
-
|
|
-
|
|
|
<2420,164>
|
?
|
2420
|
164
|
{164,121,33; 1,11,132}
|
1,164,1804,451
|
1,164,1804,451
|
-
|
0123
|
{164,121,33;1,11,132}
|
<2420,1804,1353,1320>
|
|
|
<2420,164>a
|
?
|
2420
|
164
|
{164,1375/9,15; 1,110/9,150}
|
1,164,2050,205
|
1,615,1312,492
|
-
|
-
|
|
<2420,1312,744,672>
|
Y
|
|
<2432,143>
|
?
|
2432
|
143
|
{143,2560/19,144/11; 1,176/19,1440/11}
|
1,143,2080,208
|
1,715,1144,572
|
-
|
-
|
|
<2432,1144,576,504>
|
Y
|
|
<2436,174>
|
?
|
2436
|
174
|
{174,2793/20,841/25; 1,1421/100,522/5}
|
1,174,1710,551
|
1,60,855,1520
|
-
|
0123
|
{60,57,32;1,4,18}
|
-
|
|
|
<2470,189>
|
?
|
2470
|
189
|
{189,9025/52,95/4; 1,855/52,665/4}
|
1,189,1995,285
|
1,432,1701,336
|
-
|
-
|
|
<2470,1701,1188,1134>
|
Y
|
|
<2484,91>
|
?
|
2484
|
91
|
{91,1058/15,23/2; 1,46/15,161/2}
|
1,91,2093,299
|
1,364,819,1300
|
-
|
-
|
|
<2484,819,306,252>
|
|
|
<2484,91>a
|
?
|
2484
|
91
|
{91,529/6,23/2; 1,23/6,161/2}
|
1,91,2093,299
|
1,936,819,728
|
-
|
-
|
|
<2484,819,306,252>
|
Y
|
|
<2484,161>
|
?
|
2484
|
161
|
{161,1620/13,1587/169; 1,3105/338,1932/13}
|
1,161,2184,138
|
1,273,546,1664
|
-
|
-
|
|
<2484,1664,1096,1152>
|
|
|
<2500,49>
|
?
|
2500
|
49
|
{49,42,36; 1,3,14}
|
1,49,686,1764
|
1,392,1764,343
|
-
|
-
|
|
<2500,1764,1238,1260>
|
|
|
<2500,49>a
|
-
|
2500
|
49
|
{49,48,26; 1,2,24}
|
1,49,1176,1274
|
1,735,1274,490
|
-
|
-
|
|
<2500,1274,648,650>
|
Y
|
Gavrilyuk, Vidali [GV]
|
<2500,51>
|
?
|
2500
|
51
|
{51,1152/25,26; 1,48/25,26}
|
1,51,1224,1224
|
1,612,1275,612
|
-
|
-
|
|
<2500,1275,650,650>
|
|
|
<2500,51>a
|
?
|
2500
|
51
|
{51,48,24; 1,2,24}
|
1,51,1224,1224
|
1,510,1224,765
|
-
|
-
|
|
<2500,1224,598,600>
|
|
|
<2500,63>
|
?
|
2500
|
63
|
{63,56,16; 1,2,42}
|
1,63,1764,672
|
1,504,735,1260
|
-
|
-
|
|
<2500,735,230,210>
|
|
|
<2500,75>
|
?
|
2500
|
75
|
{75,1008/17,10000/289; 1,1050/289,600/17}
|
1,75,1224,1200
|
1,255,1224,1020
|
-
|
-
|
|
<2500,1224,598,600>
|
|
|
<2500,85>
|
?
|
2500
|
85
|
{85,84,75/4; 1,15/4,70}
|
1,85,1904,510
|
1,952,1088,459
|
-
|
-
|
|
-
|
|
|
<2500,153>
|
?
|
2500
|
153
|
{153,136,36; 1,12,102}
|
1,153,1734,612
|
1,153,1734,612
|
-
|
0123
|
{153,136,36;1,12,102}
|
<2500,1734,1208,1190>
|
|
|
<2520,55>
|
?
|
2520
|
55
|
{55,784/15,77/2; 1,56/15,35/2}
|
1,55,770,1694
|
1,440,1815,264
|
-
|
-
|
|
<2520,1815,1302,1320>
|
Y
|
|
<2520,99>
|
?
|
2520
|
99
|
{99,448/5,72/7; 1,144/35,84}
|
1,99,2156,264
|
1,594,693,1232
|
-
|
-
|
|
-
|
|
|
<2520,110>
|
?
|
2520
|
110
|
{110,99,100/19; 1,90/19,110}
|
1,110,2299,110
|
1,836,836,847
|
0321
|
-
|
|
<2520,847,238,308>
|
|
|
<2530,54>
|
?
|
2530
|
54
|
{54,5082/115,143/5; 1,231/115,132/5}
|
1,54,1188,1287
|
1,450,1404,675
|
-
|
-
|
|
<2530,1404,778,780>
|
|
|
<2530,54>a
|
?
|
2530
|
54
|
{54,1210/23,143/5; 1,55/23,132/5}
|
1,54,1188,1287
|
1,675,1404,450
|
-
|
-
|
|
<2530,1404,778,780>
|
Y
|
|
<2541,120>
|
?
|
2541
|
120
|
{120,726/7,22; 1,44/7,99}
|
1,120,1980,440
|
1,440,1440,660
|
-
|
-
|
|
<2541,1440,834,792>
|
|
|
<2541,120>a
|
?
|
2541
|
120
|
{120,110,144/23; 1,132/23,120}
|
1,120,2300,120
|
1,920,920,700
|
0321
|
-
|
|
<2541,700,147,210>
|
|
|
<2548,90>
|
?
|
2548
|
90
|
{90,2366/27,13/3; 1,91/27,260/3}
|
1,90,2340,117
|
1,1215,360,972
|
-
|
-
|
|
<2548,360,116,40>
|
Y
|
|
<2556,70>
|
?
|
2556
|
70
|
{70,15123/242,71/7; 1,497/242,426/7}
|
1,70,2130,355
|
1,770,630,1155
|
-
|
-
|
|
<2556,630,189,144>
|
|
|
<2556,70>a
|
?
|
2556
|
70
|
{70,10082/147,71/5; 1,355/147,284/5}
|
1,70,1988,497
|
1,980,840,735
|
-
|
-
|
|
<2556,840,300,264>
|
Y
|
|
<2600,25>
|
!
|
2600
|
25
|
{25,3718/207,56875/5819; 1,7150/4761,325/253}
|
1,25,299,2275
|
1,69,759,1771
|
-
|
0123
|
{69,44,21;1,4,9}
|
-
|
|
Johnson J(26,3)
|
<2600,69>
|
?
|
2600
|
69
|
{69,880/13,14; 1,30/13,56}
|
1,69,2024,506
|
1,1012,828,759
|
-
|
-
|
|
<2600,828,288,252>
|
Y
|
|
<2600,207>
|
?
|
2600
|
207
|
{207,4732/25,26; 1,468/25,182}
|
1,207,2093,299
|
1,414,1863,322
|
-
|
-
|
|
<2600,1863,1350,1296>
|
Y
|
|
<2625,64>
|
?
|
2625
|
64
|
{64,50,30; 1,5/2,30}
|
1,64,1280,1280
|
1,320,1024,1280
|
-
|
-
|
|
<2625,1024,398,400>
|
|
|
<2625,64>a
|
?
|
2625
|
64
|
{64,400/7,65/2; 1,20/7,65/2}
|
1,64,1280,1280
|
1,512,1600,512
|
-
|
-
|
|
<2625,1600,975,975>
|
|
|
<2625,128>
|
?
|
2625
|
128
|
{128,702/7,36; 1,54/7,72}
|
1,128,1664,832
|
1,128,832,1664
|
-
|
-
|
|
-
|
|
|
<2625,128>a
|
?
|
2625
|
128
|
{128,108,9; 1,6,108}
|
1,128,2304,192
|
1,384,448,1792
|
-
|
-
|
|
-
|
|
|
<2625,160>
|
?
|
2625
|
160
|
{160,147,14; 1,21/2,140}
|
1,160,2240,224
|
1,480,1280,864
|
-
|
-
|
|
-
|
|
|
<2625,164>
|
?
|
2625
|
164
|
{164,140,11; 1,10,154}
|
1,164,2296,164
|
1,492,1148,984
|
-
|
-
|
|
<2625,1148,553,462>
|
|
|
<2640,63>
|
?
|
2640
|
63
|
{63,640/11,126/5; 1,144/55,30}
|
1,63,1400,1176
|
1,315,1344,980
|
-
|
-
|
|
-
|
|
|
<2640,87>
|
?
|
2640
|
87
|
{87,384/5,16; 1,16/5,72}
|
1,87,2088,464
|
1,638,1044,957
|
-
|
-
|
|
<2640,1044,438,396>
|
|
|
<2640,87>a
|
?
|
2640
|
87
|
{87,847/10,11; 1,33/10,77}
|
1,87,2233,319
|
1,1044,783,812
|
-
|
-
|
|
<2640,783,270,216>
|
Y
|
|
<2640,104>
|
?
|
2640
|
104
|
{104,1125/11,80/3; 1,200/33,60}
|
1,104,1755,780
|
1,117,1872,650
|
-
|
0123
|
{117,112,25;1,7,72}
|
-
|
|
|
<2640,203>
|
-
|
2640
|
203
|
{203,160,34; 1,16,170}
|
1,203,2030,406
|
1,203,2030,406
|
-
|
0123
|
{203,160,34;1,16,170}
|
<2640,2030,1570,1530>
|
|
Gavrilyuk, Vidali [GV]
|
<2646,230>
|
?
|
2646
|
230
|
{230,189,33; 1,21,198}
|
1,230,2070,345
|
1,230,2070,345
|
-
|
0123
|
{230,189,33;1,21,198}
|
<2646,2070,1629,1584>
|
|
|
<2646,230>a
|
?
|
2646
|
230
|
{230,1715/9,77/5; 1,175/9,1078/5}
|
1,230,2254,161
|
1,345,1610,690
|
-
|
-
|
|
<2646,1610,1015,924>
|
|
|
<2646,230>b
|
?
|
2646
|
230
|
{230,210,11; 1,21,220}
|
1,230,2300,115
|
1,690,1380,575
|
-
|
-
|
|
<2646,1380,774,660>
|
Y
|
|
<2652,220>
|
?
|
2652
|
220
|
{220,48841/243,221/11; 1,4862/243,2210/11}
|
1,220,2210,221
|
1,495,1760,396
|
-
|
-
|
|
<2652,1760,1192,1120>
|
Y
|
|
<2669,156>
|
?
|
2669
|
156
|
{156,24649/204,157/4; 1,2041/204,471/4}
|
1,156,1884,628
|
1,208,2028,432
|
-
|
0123
|
{208,156,36;1,16,169}
|
<2669,2028,1547,1521>
|
|
|
<2673,80>
|
?
|
2673
|
80
|
{80,756/11,57/2; 1,36/11,105/2}
|
1,80,1680,912
|
1,480,1520,672
|
-
|
-
|
|
<2673,1520,871,855>
|
|
|
<2673,80>a
|
?
|
2673
|
80
|
{80,3159/44,63/8; 1,27/11,585/8}
|
1,80,2340,252
|
1,832,560,1280
|
-
|
-
|
|
<2673,560,163,105>
|
|
|
<2673,80>b
|
?
|
2673
|
80
|
{80,1701/22,57/2; 1,81/22,105/2}
|
1,80,1680,912
|
1,672,1520,480
|
-
|
-
|
|
<2673,1520,871,855>
|
Y
|
|
<2704,51>
|
?
|
2704
|
51
|
{51,195/4,37; 1,13/4,15}
|
1,51,765,1887
|
1,510,1887,306
|
-
|
-
|
|
<2704,1887,1310,1332>
|
Y
|
|
<2704,51>a
|
?
|
2704
|
51
|
{51,1248/25,28; 1,52/25,24}
|
1,51,1224,1428
|
1,765,1428,510
|
-
|
-
|
|
<2704,1428,752,756>
|
Y
|
|
<2730,77>
|
?
|
2730
|
77
|
{77,338/5,637/72; 1,91/40,1001/18}
|
1,77,2288,364
|
1,297,704,1728
|
-
|
-
|
|
-
|
|
|
<2736,135>
|
?
|
2736
|
135
|
{135,2240/19,81/5; 1,135/19,504/5}
|
1,135,2240,360
|
1,200,960,1575
|
-
|
-
|
|
-
|
|
|
<2738,184>
|
?
|
2738
|
184
|
{184,481/3,35/3; 1,37/3,520/3}
|
1,184,2392,161
|
1,552,1288,897
|
-
|
-
|
|
<2738,1288,657,560>
|
|
|
<2738,221>
|
?
|
2738
|
221
|
{221,407/2,15/2; 1,37/2,429/2}
|
1,221,2431,85
|
1,884,1105,748
|
-
|
-
|
|
<2738,1105,528,390>
|
Y
|
|
<2744,39>
|
!
|
2744
|
39
|
{39,26,13; 1,2,3}
|
1,39,507,2197
|
1,39,507,2197
|
-
|
0123
|
{39,26,13;1,2,3}
|
-
|
|
Hamming H(3,14)
|
<2744,91>
|
?
|
2744
|
91
|
{91,72,40; 1,6,28}
|
1,91,1092,1560
|
1,91,1092,1560
|
-
|
0123
|
{91,72,40;1,6,28}
|
-
|
|
|
<2744,104>
|
?
|
2744
|
104
|
{104,91,64/15; 1,56/15,104}
|
1,104,2535,104
|
1,780,780,1183
|
0321
|
-
|
|
<2744,1183,462,546>
|
|
|
<2744,169>
|
?
|
2744
|
169
|
{169,132,45; 1,12,117}
|
1,169,1859,715
|
1,169,1859,715
|
-
|
0123
|
{169,132,45;1,12,117}
|
-
|
|
|
<2752,63>
|
?
|
2752
|
63
|
{63,2560/43,44; 1,192/43,20}
|
1,63,840,1848
|
1,420,2079,252
|
-
|
-
|
|
<2752,2079,1566,1584>
|
Y
|
|
<2759,88>
|
?
|
2759
|
88
|
{88,31684/465,356/15; 1,1424/465,979/15}
|
1,88,1958,712
|
1,360,1408,990
|
-
|
-
|
|
<2759,1408,732,704>
|
|
|
<2775,74>
|
?
|
2775
|
74
|
{74,1350/19,12321/361; 1,2775/722,666/19}
|
1,74,1368,1332
|
1,380,1824,570
|
-
|
-
|
|
<2775,1824,1198,1200>
|
|
|
<2781,80>
|
?
|
2781
|
80
|
{80,32076/515,108/5; 1,1296/515,297/5}
|
1,80,1980,720
|
1,400,1280,1100
|
-
|
-
|
|
<2781,1280,604,576>
|
|
|
<2784,231>
|
?
|
2784
|
231
|
{231,841/4,29; 1,87/4,203}
|
1,231,2233,319
|
1,396,2079,308
|
-
|
-
|
|
<2784,2079,1566,1512>
|
Y
|
|
<2800,144>
|
?
|
2800
|
144
|
{144,135,256/31; 1,240/31,144}
|
1,144,2511,144
|
1,1116,1116,567
|
0321
|
-
|
|
<2800,567,70,126>
|
|
|
<2800,279>
|
-
|
2800
|
279
|
{279,240,32; 1,30,248}
|
1,279,2232,288
|
1,279,2232,288
|
-
|
0123
|
{279,240,32;1,30,248}
|
<2800,2232,1790,1736>
|
|
Jurisic, Vidali [JV]
|