v | k | λ | μ | rf | sg | comments | |
---|---|---|---|---|---|---|---|
? | 1001 | 136 | 27 | 17 | 17286 | –7714 | |
864 | 744 | 756 | 6714 | –18286 | |||
? | 1001 | 150 | 13 | 24 | 7714 | –18286 | |
850 | 723 | 714 | 17286 | –8714 | |||
? | 1001 | 160 | 12 | 28 | 6780 | –22220 | |
840 | 707 | 693 | 21220 | –7780 | |||
? | 1001 | 280 | 63 | 84 | 7792 | –28208 | pg(10,27,3)? |
720 | 523 | 504 | 27208 | –8792 | |||
? | 1001 | 300 | 103 | 84 | 27220 | –8780 | |
700 | 483 | 504 | 7780 | –28220 | pg(25,27,18)? | ||
? | 1001 | 384 | 152 | 144 | 20363 | –12637 | S(2,12,364)? |
616 | 375 | 385 | 11637 | –21363 | |||
? | 1001 | 450 | 207 | 198 | 21350 | –12650 | |
550 | 297 | 308 | 11650 | –22350 | pg(25,21,14)? | ||
- | 1001 | 500 | 249 | 250 | 15.319500 | –16.319500 | Conf |
? | 1003 | 300 | 65 | 100 | 5884 | –40118 | |
702 | 501 | 468 | 39118 | –6884 | |||
- | 1005 | 502 | 250 | 251 | 15.351502 | –16.351502 | Conf |
? | 1007 | 486 | 225 | 243 | 9741 | –27265 | pg(18,26,9)?; 2-graph\*? |
520 | 276 | 260 | 26265 | –10741 | 2-graph\*? | ||
? | 1008 | 57 | 6 | 3 | 9399 | –6608 | |
950 | 895 | 900 | 5608 | –10399 | |||
? | 1008 | 152 | 16 | 24 | 8665 | –16342 | |
855 | 726 | 720 | 15342 | –9665 | |||
? | 1008 | 159 | 30 | 24 | 15371 | –9636 | |
848 | 712 | 720 | 8636 | –16371 | |||
? | 1008 | 265 | 68 | 70 | 13530 | –15477 | |
742 | 546 | 546 | 14477 | –14530 | |||
? | 1008 | 266 | 70 | 70 | 14494 | –14513 | |
741 | 544 | 546 | 13513 | –15494 | |||
? | 1008 | 342 | 96 | 126 | 6855 | –36152 | |
665 | 448 | 420 | 35152 | –7855 | |||
? | 1008 | 371 | 154 | 126 | 35159 | –7848 | |
636 | 390 | 420 | 6848 | –36159 | |||
? | 1008 | 456 | 194 | 216 | 8783 | –30224 | |
551 | 310 | 290 | 29224 | –9783 | |||
? | 1008 | 475 | 250 | 200 | 5576 | –5931 | |
532 | 256 | 308 | 4931 | –5676 | |||
? | 1008 | 477 | 216 | 234 | 9742 | –27265 | 2-graph? |
530 | 286 | 270 | 26265 | –10742 | 2-graph? | ||
? | 1008 | 494 | 250 | 234 | 26266 | –10741 | 2-graph? |
513 | 252 | 270 | 9741 | –27266 | 2-graph? | ||
+ | 1009 | 504 | 251 | 252 | 15.382504 | –16.382504 | Paley(1009); 2-graph\* |
? | 1012 | 336 | 110 | 112 | 14528 | –16483 | pg(21,15,7)? |
675 | 450 | 450 | 15483 | –15528 | |||
+ | 1013 | 506 | 252 | 253 | 15.414506 | –16.414506 | Paley(1013); 2-graph\* |
? | 1015 | 150 | 5 | 25 | 5840 | –25174 | |
864 | 738 | 720 | 24174 | –6840 | |||
? | 1015 | 182 | 21 | 35 | 7754 | –21260 | |
832 | 684 | 672 | 20260 | –8754 | |||
? | 1015 | 312 | 113 | 88 | 32174 | –7840 | |
702 | 477 | 504 | 6840 | –33174 | |||
? | 1016 | 259 | 42 | 74 | 5888 | –37127 | pg(7,36,2)? |
756 | 570 | 540 | 36127 | –6888 | |||
? | 1017 | 344 | 91 | 129 | 5903 | –43113 | pg(8,42,3)? |
672 | 456 | 420 | 42113 | –6903 | |||
? | 1017 | 508 | 253 | 254 | 15.445508 | –16.445508 | 2-graph\*? |
+ | 1021 | 510 | 254 | 255 | 15.477510 | –16.477510 | Paley(1021); 2-graph\* |
? | 1023 | 336 | 90 | 120 | 6868 | –36154 | |
686 | 469 | 441 | 35154 | –7868 | |||
+ | 1023 | 510 | 253 | 255 | 15527 | –17495 | O(11,2) Sp(10,2); pg(30,16,15); 2-graph\* |
512 | 256 | 256 | 16495 | –16527 | S(2,16,496); 2-graph\* | ||
! | 1024 | 62 | 30 | 2 | 3062 | –2961 | 322; from a partial spread of 5-spaces: projective binary [62,10] code with weights 16, 32 |
961 | 900 | 930 | 1961 | –3162 | OA(32,31) | ||
+ | 1024 | 93 | 32 | 6 | 2993 | –3930 | OA(32,3); Bilin2x5(2); from a Baer subspace: projective 4-ary [31,5] code with weights 16, 24; from a partial spread of 5-spaces: projective binary [93,10] code with weights 32, 48 |
930 | 842 | 870 | 2930 | –3093 | OA(32,30) | ||
+ | 1024 | 124 | 36 | 12 | 28124 | –4899 | OA(32,4); from a partial spread of 5-spaces: projective binary [124,10] code with weights 48, 64 |
899 | 786 | 812 | 3899 | –29124 | OA(32,29) | ||
+ | 1024 | 155 | 42 | 20 | 27155 | –5868 | OA(32,5); from a partial spread of 5-spaces: projective binary [155,10] code with weights 64, 80 |
868 | 732 | 756 | 4868 | –28155 | OA(32,28) | ||
? | 1024 | 165 | 8 | 30 | 5858 | –27165 | |
858 | 722 | 702 | 26165 | –6858 | |||
+ | 1024 | 186 | 50 | 30 | 26186 | –6837 | OA(32,6); from a partial spread of Baer subspaces: projective 4-ary [62,5] code with weights 40, 48; from a partial spread of 5-spaces: projective binary [186,10] code with weights 80, 96 |
837 | 680 | 702 | 5837 | –27186 | OA(32,27) | ||
+ | 1024 | 198 | 22 | 42 | 6825 | –26198 | Kohnert: projective binary [198,10] code with weights 96, 112 |
825 | 668 | 650 | 25198 | –7825 | |||
+ | 1024 | 217 | 60 | 42 | 25217 | –7806 | OA(32,7); from a partial spread of 5-spaces: projective binary [217,10] code with weights 96, 112 |
806 | 630 | 650 | 6806 | –26217 | OA(32,26) | ||
+ | 1024 | 231 | 38 | 56 | 7792 | –25231 | Polhill; Dissett: projective 4-ary [77,5] code with weights 56, 64 |
792 | 616 | 600 | 24231 | –8792 | |||
+ | 1024 | 248 | 72 | 56 | 24248 | –8775 | OA(32,8); from a partial spread of 5-spaces: projective binary [248,10] code with weights 112, 128 |
775 | 582 | 600 | 7775 | –25248 | OA(32,25) | ||
+ | 1024 | 264 | 56 | 72 | 8759 | –24264 | Polhill; pg(11,23,3)? |
759 | 566 | 552 | 23264 | –9759 | |||
+ | 1024 | 279 | 86 | 72 | 23279 | –9744 | OA(32,9); from a partial spread of Baer subspaces: projective 4-ary [93,5] code with weights 64, 72; from a partial spread of 5-spaces: projective binary [279,10] code with weights 128, 144 |
744 | 536 | 552 | 8744 | –24279 | OA(32,24) | ||
+ | 1024 | 297 | 76 | 90 | 9726 | –23297 | Polhill; Dissett: projective 4-ary [99,5] code with weights 72, 80 |
726 | 518 | 506 | 22297 | –10726 | |||
+ | 1024 | 310 | 102 | 90 | 22310 | –10713 | OA(32,10); from a partial spread of 5-spaces: projective binary [310,10] code with weights 144, 160 |
713 | 492 | 506 | 9713 | –23310 | OA(32,23) | ||
+ | 1024 | 330 | 98 | 110 | 10693 | –22330 | Polhill; pg(15,21,5)?; Dissett: projective 4-ary [110,5] code with weights 80, 88; Momihara: projective binary [330,10] code with weights 160, 176 |
693 | 472 | 462 | 21330 | –11693 | |||
+ | 1024 | 341 | 120 | 110 | 21341 | –11682 | OA(32,11); from a partial spread of 5-spaces: projective binary [341,10] code with weights 160, 176 |
682 | 450 | 462 | 10682 | –22341 | OA(32,22); Momihara | ||
- | 1024 | 341 | 168 | 86 | 8531 | –3992 | Absolute bound |
682 | 426 | 510 | 2992 | –8631 | Absolute bound | ||
+ | 1024 | 363 | 122 | 132 | 11660 | –21363 | Dissett: projective 4-ary [121,5] code with weights 88, 96 |
660 | 428 | 420 | 20363 | –12660 | |||
+ | 1024 | 372 | 140 | 132 | 20372 | –12651 | OA(32,12); from a partial spread of Baer subspaces: projective 4-ary [124,5] code with weights 88, 96; from a partial spread of 5-spaces: projective binary [372,10] code with weights 176, 192 |
651 | 410 | 420 | 11651 | –21372 | OA(32,21) | ||
? | 1024 | 378 | 162 | 126 | 42120 | –6903 | |
645 | 392 | 430 | 5903 | –43120 | pg(15,42,10)? | ||
- | 1024 | 385 | 36 | 210 | 11015 | –1758 | Krein2; Absolute bound |
638 | 462 | 290 | 1748 | –21015 | Krein1; Absolute bound | ||
+ | 1024 | 396 | 148 | 156 | 12627 | –20396 | Dissett: projective 4-ary [132,5] code with weights 96, 104 |
627 | 386 | 380 | 19396 | –13627 | |||
+ | 1024 | 403 | 162 | 156 | 19403 | –13620 | OA(32,13); from a partial spread of 5-spaces: projective binary [403,10] code with weights 192, 208 |
620 | 372 | 380 | 12620 | –20403 | OA(32,20) | ||
+ | 1024 | 429 | 176 | 182 | 13594 | –19429 | Dissett: projective 4-ary [143,5] code with weights 104, 112 |
594 | 346 | 342 | 18429 | –14594 | |||
+ | 1024 | 434 | 186 | 182 | 18434 | –14589 | OA(32,14); from a partial spread of 5-spaces: projective binary [434,10] code with weights 208, 224 |
589 | 336 | 342 | 13589 | –19434 | OA(32,19) | ||
+ | 1024 | 462 | 206 | 210 | 14561 | –18462 | Dissett: projective 4-ary [154,5] code with weights 112, 120 |
561 | 308 | 306 | 17462 | –15561 | |||
+ | 1024 | 465 | 212 | 210 | 17465 | –15558 | OA(32,15); from a partial spread of Baer subspaces: projective 4-ary [155,5] code with weights 112, 120; Brouwer(q=2,d=2,e=5,+); from a partial spread of 5-spaces: projective binary [465,10] code with weights 224, 240 |
558 | 302 | 306 | 14558 | –18465 | OA(32,18) | ||
+ | 1024 | 495 | 238 | 240 | 15528 | –17495 | CK - RT3: projective 4-ary [165,5] code with weights 120, 128; VO–(10,2) affine polar graph; RSHCD–; 2-graph |
528 | 272 | 272 | 16495 | –16528 | from 2-(32,2,1) with 1-factor Fickus et al.; 2-graph | ||
+ | 1024 | 496 | 240 | 240 | 16496 | –16527 | OA(32,16); Wallis (AR(2,8)+S(2,2,32)); from a partial spread of 5-spaces: projective binary [496,10] code with weights 240, 256; RSHCD+; 2-graph |
527 | 270 | 272 | 15527 | –17496 | OA(32,17); Wallis2 (AR(2,8)+S(2,2,32)); Goethals-Seidel(2,31); VO+(10,2) affine polar graph; 2-graph | ||
? | 1025 | 512 | 255 | 256 | 15.508512 | –16.508512 | 2-graph\*? |
? | 1026 | 205 | 28 | 44 | 7779 | –23246 | |
820 | 658 | 644 | 22246 | –8779 | |||
? | 1026 | 220 | 58 | 44 | 22266 | –8759 | |
805 | 628 | 644 | 7759 | –23266 | |||
? | 1026 | 325 | 100 | 104 | 13570 | –17455 | |
700 | 478 | 476 | 16455 | –14570 | |||
? | 1026 | 369 | 144 | 126 | 27246 | –9779 | |
656 | 412 | 432 | 8779 | –28246 | |||
? | 1026 | 385 | 128 | 154 | 7836 | –33189 | |
640 | 408 | 384 | 32189 | –8836 | |||
? | 1026 | 400 | 124 | 176 | 4950 | –5675 | |
625 | 400 | 350 | 5575 | –5950 | |||
? | 1026 | 420 | 177 | 168 | 21360 | –12665 | |
605 | 352 | 363 | 11665 | –22360 | |||
? | 1026 | 451 | 212 | 187 | 33189 | –8836 | |
574 | 309 | 336 | 7836 | –34189 | |||
+ | 1027 | 114 | 41 | 9 | 3578 | –3948 | S(2,3,79) |
912 | 806 | 840 | 2948 | –3678 | |||
? | 1027 | 342 | 81 | 130 | 4948 | –5378 | |
684 | 471 | 424 | 5278 | –5948 | |||
? | 1027 | 450 | 225 | 175 | 5578 | –5948 | |
576 | 300 | 352 | 4948 | –5678 | |||
? | 1029 | 260 | 67 | 65 | 15468 | –13560 | pg(20,12,5)? |
768 | 572 | 576 | 12560 | –16468 | |||
? | 1029 | 288 | 102 | 72 | 36140 | –6888 | |
740 | 523 | 555 | 5888 | –37140 | pg(20,36,15)? | ||
? | 1029 | 500 | 235 | 250 | 10720 | –25308 | pg(20,24,10)?; 2-graph\*? |
528 | 277 | 264 | 24308 | –11720 | 2-graph\*? | ||
- | 1029 | 514 | 256 | 257 | 15.539514 | –16.539514 | Conf |
? | 1030 | 490 | 225 | 240 | 10721 | –25308 | 2-graph? |
539 | 288 | 275 | 24308 | –11721 | 2-graph? | ||
? | 1030 | 504 | 253 | 240 | 24309 | –11720 | 2-graph? |
525 | 260 | 275 | 10720 | –25309 | 2-graph? | ||
+ | 1033 | 516 | 257 | 258 | 15.570516 | –16.570516 | Paley(1033); 2-graph\* |
! | 1035 | 88 | 44 | 4 | 4245 | –2989 | Triangular graph T(46) |
946 | 861 | 903 | 1989 | –4345 | pg(22,42,21)? | ||
? | 1035 | 330 | 105 | 105 | 15506 | –15528 | pg(22,14,7)? |
704 | 478 | 480 | 14528 | –16506 | |||
? | 1035 | 440 | 196 | 180 | 26275 | –10759 | |
594 | 333 | 351 | 9759 | –27275 | pg(22,26,13)? | ||
? | 1035 | 462 | 201 | 210 | 12644 | –21390 | pg(22,20,10)? |
572 | 319 | 312 | 20390 | –13644 | |||
? | 1035 | 490 | 217 | 245 | 7850 | –35184 | pg(14,34,7)?; 2-graph\*? |
544 | 298 | 272 | 34184 | –8850 | 2-graph\*? | ||
+ | 1036 | 144 | 44 | 16 | 32111 | –4924 | S(2,4,112) |
891 | 762 | 792 | 3924 | –33111 | pg(27,32,24)? | ||
? | 1036 | 230 | 33 | 56 | 6851 | –29184 | |
805 | 630 | 609 | 28184 | –7851 | |||
? | 1036 | 285 | 84 | 76 | 19370 | –11665 | |
750 | 540 | 550 | 10665 | –20370 | |||
? | 1036 | 375 | 110 | 150 | 5924 | –45111 | |
660 | 434 | 396 | 44111 | –6924 | |||
? | 1036 | 405 | 138 | 171 | 6888 | –39147 | |
630 | 395 | 364 | 38147 | –7888 | |||
? | 1036 | 483 | 210 | 238 | 7851 | –35184 | 2-graph? |
552 | 306 | 280 | 34184 | –8851 | 2-graph? | ||
? | 1036 | 483 | 242 | 210 | 39147 | –7888 | |
552 | 278 | 312 | 6888 | –40147 | |||
? | 1036 | 510 | 264 | 238 | 34185 | –8850 | 2-graph? |
525 | 252 | 280 | 7850 | –35185 | 2-graph? | ||
? | 1037 | 518 | 258 | 259 | 15.601518 | –16.601518 | 2-graph\*? |
? | 1041 | 336 | 115 | 105 | 21347 | –11693 | |
704 | 472 | 484 | 10693 | –22347 | S(2,22,694)? | ||
- | 1041 | 520 | 259 | 260 | 15.632520 | –16.632520 | Conf |
? | 1044 | 168 | 42 | 24 | 24203 | –6840 | pg(28,5,4) does not exist (Absolute bound for line graph) |
875 | 730 | 750 | 5840 | –25203 | |||
+ | 1044 | 175 | 50 | 25 | 30144 | –5899 | S(2,5,145) |
868 | 717 | 744 | 4899 | –31144 | pg(28,30,24)? | ||
? | 1045 | 234 | 53 | 52 | 14494 | –13550 | pg(18,12,4)? |
810 | 627 | 630 | 12550 | –15494 | |||
? | 1045 | 260 | 63 | 65 | 13550 | –15494 | |
784 | 588 | 588 | 14494 | –14550 | |||
? | 1045 | 276 | 83 | 69 | 23285 | –9759 | |
768 | 560 | 576 | 8759 | –24285 | S(2,24,760)? | ||
? | 1045 | 290 | 81 | 80 | 15494 | –14550 | |
754 | 543 | 546 | 13550 | –16494 | |||
? | 1045 | 324 | 123 | 90 | 39132 | –6912 | |
720 | 485 | 520 | 5912 | –40132 | pg(18,39,13)? | ||
? | 1045 | 384 | 108 | 160 | 4968 | –5676 | |
660 | 435 | 385 | 5576 | –5968 | |||
? | 1045 | 396 | 143 | 154 | 11684 | –22360 | pg(18,21,7)? |
648 | 405 | 396 | 21360 | –12684 | |||
- | 1045 | 522 | 260 | 261 | 15.663522 | –16.663522 | Conf |
+ | 1049 | 524 | 261 | 262 | 15.694524 | –16.694524 | Paley(1049); 2-graph\* |