Strongly regular graphs

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v k λ μ r^f s^g comments

- 753 376 187 188 13.220³⁷⁶ –14.220³⁷⁶ Conf

? 754 243 72 81 9⁴⁹³ –18²⁶⁰

510 347 340 17²⁶⁰ –10⁴⁹³

? 755 130 9 25 5⁶⁰⁴ –21¹⁵⁰

624 518 504 20¹⁵⁰ –6⁶⁰⁴

+ 755 174 53 36 23¹⁵⁰ –6⁶⁰⁴ S(2,6,151)

580 441 460 5⁶⁰⁴ –24¹⁵⁰

+ 756 130 4 26 4⁶⁵⁰ –26¹⁰⁵ q222=0; O^–(6,5) polar graph; GQ(5,25)

625 520 500 25¹⁰⁵ –5⁶⁵⁰ q111=0

? 756 150 28 30 10⁴⁰⁵ –12³⁵⁰

605 484 484 11³⁵⁰ –11⁴⁰⁵

? 756 160 40 32 16²⁴⁵ –8⁵¹⁰ pg(20,7,4)?

595 466 476 7⁵¹⁰ –17²⁴⁵

? 756 315 138 126 21²¹⁶ –9⁵³⁹

440 250 264 8⁵³⁹ –22²¹⁶ pg(20,21,12)?

+ 757 378 188 189 13.257³⁷⁸ –14.257³⁷⁸ Paley(757); 2-graph\*

? 760 143 30 26 13³⁰⁴ –9⁴⁵⁵

616 498 504 8⁴⁵⁵ –14³⁰⁴

? 760 161 30 35 9⁴⁵⁵ –14³⁰⁴

598 471 468 13³⁰⁴ –10⁴⁵⁵

? 760 165 20 40 5⁶²⁷ –25¹³²

594 468 450 24¹³² –6⁶²⁷

? 760 220 72 60 20²⁰⁹ –8⁵⁵⁰

539 378 392 7⁵⁵⁰ –21²⁰⁹

? 760 252 82 84 12³⁹⁹ –14³⁶⁰ pg(18,13,6)?

507 338 338 13³⁶⁰ –13³⁹⁹

? 760 264 68 104 4⁶⁸⁴ –40⁷⁵

495 334 300 39⁷⁵ –5⁶⁸⁴

? 760 345 176 140 41⁷⁵ –5⁶⁸⁴

414 208 246 4⁶⁸⁴ –42⁷⁵

+ 761 380 189 190 13.293³⁸⁰ –14.293³⁸⁰ Paley(761); 2-graph\*

? 765 176 28 44 6⁵⁹⁴ –22¹⁷⁰ pg(8,21,2)?

588 455 441 21¹⁷⁰ –7⁵⁹⁴

+ 765 192 48 48 12³⁷⁴ –12³⁹⁰ Ionin-Kharaghani; pg(16,11,4)?

572 427 429 11³⁹⁰ –13³⁷⁴

? 765 382 190 191 13.329³⁸² –14.329³⁸² 2-graph\*?

? 768 59 10 4 11²³⁶ –5⁵³¹

708 652 660 4⁵³¹ –12²³⁶

? 768 117 16 18 9⁴¹⁶ –11³⁵¹

650 550 550 10³⁵¹ –10⁴¹⁶

? 768 177 36 42 9⁴⁷² –15²⁹⁵

590 454 450 14²⁹⁵ –10⁴⁷²

? 768 182 46 42 14³¹² –10⁴⁵⁵

585 444 450 9⁴⁵⁵ –15³¹²

- 768 195 18 60 3⁷¹⁵ –45⁵² Krein2

572 436 396 44⁵² –4⁷¹⁵ Krein1

? 768 236 100 60 44⁵⁹ –4⁷⁰⁸

531 354 396 3⁷⁰⁸ –45⁵⁹

? 768 295 102 120 7⁵⁹⁰ –25¹⁷⁷

472 296 280 24¹⁷⁷ –8⁵⁹⁰

? 768 312 136 120 24¹⁸² –8⁵⁸⁵

455 262 280 7⁵⁸⁵ –25¹⁸²

? 768 325 120 150 5⁶⁶³ –35¹⁰⁴

442 266 238 34¹⁰⁴ –6⁶⁶³

+ 769 384 191 192 13.365³⁸⁴ –14.365³⁸⁴ Paley(769); 2-graph\*

? 771 266 85 95 9⁵¹³ –19²⁵⁷

504 332 324 18²⁵⁷ –10⁵¹³

+ 773 386 192 193 13.401³⁸⁶ –14.401³⁸⁶ Paley(773); 2-graph\*

+ 775 150 45 25 25¹²⁴ –5⁶⁵⁰ S(2,5,125); Lines in AG(3,5) (rk 4); Wallis (AR(5,1)+S(2,6,31))

624 498 520 4⁶⁵⁰ –26¹²⁴ pg(24,25,20)?

? 775 288 98 112 8⁵⁵⁸ –22²¹⁶

486 309 297 21²¹⁶ –9⁵⁵⁸

+ 776 124 39 16 27⁹⁶ –4⁶⁷⁹ S(2,4,97)

651 542 567 3⁶⁷⁹ –28⁹⁶

- 777 388 193 194 13.437³⁸⁸ –14.437³⁸⁸ Conf

+ 779 378 177 189 9⁵³² –21²⁴⁶ pg(18,20,9)?; 2-graph\*

400 210 200 20²⁴⁶ –10⁵³² 2-graph\*

! 780 76 38 4 36³⁹ –2⁷⁴⁰ Triangular graph T(40)

703 630 666 1⁷⁴⁰ –37³⁹ pg(19,36,18)?

? 780 171 42 36 15²⁸⁵ –9⁴⁹⁴ pg(19,8,4)?

608 472 480 8⁴⁹⁴ –16²⁸⁵

? 780 246 76 78 12⁴¹⁰ –14³⁶⁹

533 364 364 13³⁶⁹ –13⁴¹⁰

? 780 247 78 78 13³⁸⁰ –13³⁹⁹ pg(19,12,6)?

532 362 364 12³⁹⁹ –14³⁸⁰

? 780 369 158 189 5⁶⁷⁵ –36¹⁰⁴

410 229 200 35¹⁰⁴ –6⁶⁷⁵

+ 780 369 168 180 9⁵³³ –21²⁴⁶ 2-graph

410 220 210 20²⁴⁶ –10⁵³³ from 2-(39,3,1) with 1-factor Fickus et al.; 2-graph

+ 780 380 190 180 20²⁴⁷ –10⁵³² Wallis (AR(2,5)+S(2,3,39)); 2-graph

399 198 210 9⁵³² –21²⁴⁷ Goethals-Seidel(3,19); pg(19,20,10)?; 2-graph

? 781 290 93 116 6⁶³⁸ –29¹⁴² pg(10,28,4)?

490 315 294 28¹⁴² –7⁶³⁸

? 781 348 167 145 29¹⁴² –7⁶³⁸

432 228 252 6⁶³⁸ –30¹⁴²

- 781 390 194 195 13.473³⁹⁰ –14.473³⁹⁰ Conf

+ 782 99 36 9 30⁶⁸ –3⁷¹³ S(2,3,69)

682 591 620 2⁷¹³ –31⁶⁸ pg(22,30,20)?

? 783 230 49 75 5⁶⁶⁷ –31¹¹⁵

552 396 372 30¹¹⁵ –6⁶⁶⁷

+ 783 390 193 195 13⁴⁰⁵ –15³⁷⁷ pg(26,14,13)?; 2-graph\*

392 196 196 14³⁷⁷ –14⁴⁰⁵ S(2,14,378)?; 2-graph\*

! 784 54 26 2 26⁵⁴ –2⁷²⁹ 28²

729 676 702 1⁷²⁹ –27⁵⁴ OA(28,27)?

+ 784 81 28 6 25⁸¹ –3⁷⁰² OA(28,3)

702 626 650 2⁷⁰² –26⁸¹ OA(28,26)?

? 784 90 12 10 10³⁴³ –8⁴⁴⁰

693 612 616 7⁴⁴⁰ –11³⁴³

+ 784 108 32 12 24¹⁰⁸ –4⁶⁷⁵ OA(28,4)

675 578 600 3⁶⁷⁵ –25¹⁰⁸ OA(28,25)?

? 784 116 0 20 4⁶⁶⁷ –24¹¹⁶ (Makhnev is wrong); q222=0

667 570 552 23¹¹⁶ –5⁶⁶⁷ q111=0

+ 784 135 38 20 23¹³⁵ –5⁶⁴⁸ OA(28,5)

648 532 552 4⁶⁴⁸ –24¹³⁵ OA(28,24)?

? 784 145 12 30 5⁶³⁸ –23¹⁴⁵

638 522 506 22¹⁴⁵ –6⁶³⁸

+ 784 162 46 30 22¹⁶² –6⁶²¹ OA(28,6)

621 488 506 5⁶²¹ –23¹⁶² OA(28,23)?

? 784 174 26 42 6⁶⁰⁹ –22¹⁷⁴

609 476 462 21¹⁷⁴ –7⁶⁰⁹

+ 784 189 56 42 21¹⁸⁹ –7⁵⁹⁴ OA(28,7)

594 446 462 6⁵⁹⁴ –22¹⁸⁹ OA(28,22)?

? 784 203 42 56 7⁵⁸⁰ –21²⁰³

580 432 420 20²⁰³ –8⁵⁸⁰

? 784 216 68 56 20²¹⁶ –8⁵⁶⁷ OA(28,8)?

567 406 420 7⁵⁶⁷ –21²¹⁶ OA(28,21)?

? 784 228 42 76 4⁷⁰³ –38⁸⁰ pg(6,37,2)?

555 402 370 37⁸⁰ –5⁷⁰³

? 784 232 60 72 8⁵⁵¹ –20²³²

551 390 380 19²³² –9⁵⁵¹

- 784 243 42 90 3⁷³⁵ –51⁴⁸ Krein2

540 386 340 50⁴⁸ –4⁷³⁵ Krein1

+ 784 243 82 72 19²⁴³ –9⁵⁴⁰ Mathon; OA(28,9)?

540 368 380 8⁵⁴⁰ –20²⁴³ OA(28,20)?

? 784 261 80 90 9⁵²² –19²⁶¹

522 350 342 18²⁶¹ –10⁵²²

? 784 261 108 76 37⁸⁷ –5⁶⁹⁶

522 336 370 4⁶⁹⁶ –38⁸⁷

+ 784 270 98 90 18²⁷⁰ –10⁵¹³ Mathon; OA(28,10)?

513 332 342 9⁵¹³ –19²⁷⁰ OA(28,19)?

? 784 290 102 110 10⁴⁹³ –18²⁹⁰

493 312 306 17²⁹⁰ –11⁴⁹³

+ 784 297 116 110 17²⁹⁷ –11⁴⁸⁶ Mathon; OA(28,11)?

486 298 306 10⁴⁸⁶ –18²⁹⁷ OA(28,18)?

? 784 319 126 132 11⁴⁶⁴ –17³¹⁹

464 276 272 16³¹⁹ –12⁴⁶⁴

? 784 324 136 132 16³²⁴ –12⁴⁵⁹ OA(28,12)?

459 266 272 11⁴⁵⁹ –17³²⁴ OA(28,17)?

? 784 348 152 156 12⁴³⁵ –16³⁴⁸

435 242 240 15³⁴⁸ –13⁴³⁵

? 784 348 182 132 54⁴⁸ –4⁷³⁵

435 218 270 3⁷³⁵ –55⁴⁸

? 784 351 158 156 15³⁵¹ –13⁴³² OA(28,13)?

432 236 240 12⁴³² –16³⁵¹ OA(28,16)?

+ 784 377 180 182 13⁴⁰⁶ –15³⁷⁷ RSHCD^–; 2-graph

406 210 210 14³⁷⁷ –14⁴⁰⁶ from 2-(28,2,1) with 1-factor Fickus et al.; 2-graph

+ 784 378 182 182 14³⁷⁸ –14⁴⁰⁵ OA(28,14)?; Wallis (AR(2,7)+S(2,2,28)); RSHCD⁺; 2-graph

405 208 210 13⁴⁰⁵ –15³⁷⁸ OA(28,15)?; Wallis2 (AR(2,7)+S(2,2,28)); Goethals-Seidel(2,27); 2-graph

? 785 392 195 196 13.509³⁹² –14.509³⁹² 2-graph\*?

- 789 394 196 197 13.545³⁹⁴ –14.545³⁹⁴ Conf

? 792 105 6 15 6⁵⁶⁰ –15²³¹

686 595 588 14²³¹ –7⁵⁶⁰

? 792 259 106 74 37⁸⁸ –5⁷⁰³

532 346 380 4⁷⁰³ –38⁸⁸

? 792 336 140 144 12⁴⁴⁰ –16³⁵¹ pg(21,15,9)?

455 262 260 15³⁵¹ –13⁴⁴⁰

? 792 350 160 150 20²⁵² –10⁵³⁹

441 240 252 9⁵³⁹ –21²⁵² pg(21,20,12)?

? 793 162 21 36 6⁶¹⁰ –21¹⁸²

630 503 490 20¹⁸² –7⁶¹⁰

? 793 280 87 105 7⁶¹⁰ –25¹⁸²

512 336 320 24¹⁸² –8⁶¹⁰

? 793 330 147 130 25¹⁸² –8⁶¹⁰

462 261 280 7⁶¹⁰ –26¹⁸²

? 793 396 197 198 13.580³⁹⁶ –14.580³⁹⁶ 2-graph\*?

+ 797 398 198 199 13.616³⁹⁸ –14.616³⁹⁸ Paley(797); 2-graph\*

? 800 85 0 10 5⁵⁹⁵ –15²⁰⁴

714 638 630 14²⁰⁴ –6⁵⁹⁵

? 800 94 18 10 14²³⁵ –6⁵⁶⁴

705 620 630 5⁵⁶⁴ –15²³⁵

? 800 187 42 44 11⁴²⁵ –13³⁷⁴

612 468 468 12³⁷⁴ –12⁴²⁵

? 800 204 28 60 4⁷¹⁴ –36⁸⁵ q222=0

595 450 420 35⁸⁵ –5⁷¹⁴ q111=0

? 800 235 90 60 35⁹⁴ –5⁷⁰⁵

564 388 420 4⁷⁰⁵ –36⁹⁴

? 800 340 150 140 20²⁵⁵ –10⁵⁴⁴

459 258 270 9⁵⁴⁴ –21²⁵⁵

? 800 357 148 168 7⁶²⁴ –27¹⁷⁵

442 252 234 26¹⁷⁵ –8⁶²⁴

? 800 376 204 152 56⁴⁷ –4⁷⁵²

423 198 252 3⁷⁵² –57⁴⁷

	v	k	λ	μ	r^f	s^g	comments
-	753	376	187	188	13.220³⁷⁶	–14.220³⁷⁶	Conf
?	754	243	72	81	9⁴⁹³	–18²⁶⁰
		510	347	340	17²⁶⁰	–10⁴⁹³
?	755	130	9	25	5⁶⁰⁴	–21¹⁵⁰
		624	518	504	20¹⁵⁰	–6⁶⁰⁴
+	755	174	53	36	23¹⁵⁰	–6⁶⁰⁴	S(2,6,151)
		580	441	460	5⁶⁰⁴	–24¹⁵⁰
+	756	130	4	26	4⁶⁵⁰	–26¹⁰⁵	q222=0; O^–(6,5) polar graph; GQ(5,25)
		625	520	500	25¹⁰⁵	–5⁶⁵⁰	q111=0
?	756	150	28	30	10⁴⁰⁵	–12³⁵⁰
		605	484	484	11³⁵⁰	–11⁴⁰⁵
?	756	160	40	32	16²⁴⁵	–8⁵¹⁰	pg(20,7,4)?
		595	466	476	7⁵¹⁰	–17²⁴⁵
?	756	315	138	126	21²¹⁶	–9⁵³⁹
		440	250	264	8⁵³⁹	–22²¹⁶	pg(20,21,12)?
+	757	378	188	189	13.257³⁷⁸	–14.257³⁷⁸	Paley(757); 2-graph\*
?	760	143	30	26	13³⁰⁴	–9⁴⁵⁵
		616	498	504	8⁴⁵⁵	–14³⁰⁴
?	760	161	30	35	9⁴⁵⁵	–14³⁰⁴
		598	471	468	13³⁰⁴	–10⁴⁵⁵
?	760	165	20	40	5⁶²⁷	–25¹³²
		594	468	450	24¹³²	–6⁶²⁷
?	760	220	72	60	20²⁰⁹	–8⁵⁵⁰
		539	378	392	7⁵⁵⁰	–21²⁰⁹
?	760	252	82	84	12³⁹⁹	–14³⁶⁰	pg(18,13,6)?
		507	338	338	13³⁶⁰	–13³⁹⁹
?	760	264	68	104	4⁶⁸⁴	–40⁷⁵
		495	334	300	39⁷⁵	–5⁶⁸⁴
?	760	345	176	140	41⁷⁵	–5⁶⁸⁴
		414	208	246	4⁶⁸⁴	–42⁷⁵
+	761	380	189	190	13.293³⁸⁰	–14.293³⁸⁰	Paley(761); 2-graph\*
?	765	176	28	44	6⁵⁹⁴	–22¹⁷⁰	pg(8,21,2)?
		588	455	441	21¹⁷⁰	–7⁵⁹⁴
+	765	192	48	48	12³⁷⁴	–12³⁹⁰	Ionin-Kharaghani; pg(16,11,4)?
		572	427	429	11³⁹⁰	–13³⁷⁴
?	765	382	190	191	13.329³⁸²	–14.329³⁸²	2-graph\*?
?	768	59	10	4	11²³⁶	–5⁵³¹
		708	652	660	4⁵³¹	–12²³⁶
?	768	117	16	18	9⁴¹⁶	–11³⁵¹
		650	550	550	10³⁵¹	–10⁴¹⁶
?	768	177	36	42	9⁴⁷²	–15²⁹⁵
		590	454	450	14²⁹⁵	–10⁴⁷²
?	768	182	46	42	14³¹²	–10⁴⁵⁵
		585	444	450	9⁴⁵⁵	–15³¹²
-	768	195	18	60	3⁷¹⁵	–45⁵²	Krein2
		572	436	396	44⁵²	–4⁷¹⁵	Krein1
?	768	236	100	60	44⁵⁹	–4⁷⁰⁸
		531	354	396	3⁷⁰⁸	–45⁵⁹
?	768	295	102	120	7⁵⁹⁰	–25¹⁷⁷
		472	296	280	24¹⁷⁷	–8⁵⁹⁰
?	768	312	136	120	24¹⁸²	–8⁵⁸⁵
		455	262	280	7⁵⁸⁵	–25¹⁸²
?	768	325	120	150	5⁶⁶³	–35¹⁰⁴
		442	266	238	34¹⁰⁴	–6⁶⁶³
+	769	384	191	192	13.365³⁸⁴	–14.365³⁸⁴	Paley(769); 2-graph\*
?	771	266	85	95	9⁵¹³	–19²⁵⁷
		504	332	324	18²⁵⁷	–10⁵¹³
+	773	386	192	193	13.401³⁸⁶	–14.401³⁸⁶	Paley(773); 2-graph\*
+	775	150	45	25	25¹²⁴	–5⁶⁵⁰	S(2,5,125); Lines in AG(3,5) (rk 4); Wallis (AR(5,1)+S(2,6,31))
		624	498	520	4⁶⁵⁰	–26¹²⁴	pg(24,25,20)?
?	775	288	98	112	8⁵⁵⁸	–22²¹⁶
		486	309	297	21²¹⁶	–9⁵⁵⁸
+	776	124	39	16	27⁹⁶	–4⁶⁷⁹	S(2,4,97)
		651	542	567	3⁶⁷⁹	–28⁹⁶
-	777	388	193	194	13.437³⁸⁸	–14.437³⁸⁸	Conf
+	779	378	177	189	9⁵³²	–21²⁴⁶	pg(18,20,9)?; 2-graph\*
		400	210	200	20²⁴⁶	–10⁵³²	2-graph\*
!	780	76	38	4	36³⁹	–2⁷⁴⁰	Triangular graph T(40)
		703	630	666	1⁷⁴⁰	–37³⁹	pg(19,36,18)?
?	780	171	42	36	15²⁸⁵	–9⁴⁹⁴	pg(19,8,4)?
		608	472	480	8⁴⁹⁴	–16²⁸⁵
?	780	246	76	78	12⁴¹⁰	–14³⁶⁹
		533	364	364	13³⁶⁹	–13⁴¹⁰
?	780	247	78	78	13³⁸⁰	–13³⁹⁹	pg(19,12,6)?
		532	362	364	12³⁹⁹	–14³⁸⁰
?	780	369	158	189	5⁶⁷⁵	–36¹⁰⁴
		410	229	200	35¹⁰⁴	–6⁶⁷⁵
+	780	369	168	180	9⁵³³	–21²⁴⁶	2-graph
		410	220	210	20²⁴⁶	–10⁵³³	from 2-(39,3,1) with 1-factor Fickus et al.; 2-graph
+	780	380	190	180	20²⁴⁷	–10⁵³²	Wallis (AR(2,5)+S(2,3,39)); 2-graph
		399	198	210	9⁵³²	–21²⁴⁷	Goethals-Seidel(3,19); pg(19,20,10)?; 2-graph
?	781	290	93	116	6⁶³⁸	–29¹⁴²	pg(10,28,4)?
		490	315	294	28¹⁴²	–7⁶³⁸
?	781	348	167	145	29¹⁴²	–7⁶³⁸
		432	228	252	6⁶³⁸	–30¹⁴²
-	781	390	194	195	13.473³⁹⁰	–14.473³⁹⁰	Conf
+	782	99	36	9	30⁶⁸	–3⁷¹³	S(2,3,69)
		682	591	620	2⁷¹³	–31⁶⁸	pg(22,30,20)?
?	783	230	49	75	5⁶⁶⁷	–31¹¹⁵
		552	396	372	30¹¹⁵	–6⁶⁶⁷
+	783	390	193	195	13⁴⁰⁵	–15³⁷⁷	pg(26,14,13)?; 2-graph\*
		392	196	196	14³⁷⁷	–14⁴⁰⁵	S(2,14,378)?; 2-graph\*
!	784	54	26	2	26⁵⁴	–2⁷²⁹	28²
		729	676	702	1⁷²⁹	–27⁵⁴	OA(28,27)?
+	784	81	28	6	25⁸¹	–3⁷⁰²	OA(28,3)
		702	626	650	2⁷⁰²	–26⁸¹	OA(28,26)?
?	784	90	12	10	10³⁴³	–8⁴⁴⁰
		693	612	616	7⁴⁴⁰	–11³⁴³
+	784	108	32	12	24¹⁰⁸	–4⁶⁷⁵	OA(28,4)
		675	578	600	3⁶⁷⁵	–25¹⁰⁸	OA(28,25)?
?	784	116	0	20	4⁶⁶⁷	–24¹¹⁶	(Makhnev is wrong); q222=0
		667	570	552	23¹¹⁶	–5⁶⁶⁷	q111=0
+	784	135	38	20	23¹³⁵	–5⁶⁴⁸	OA(28,5)
		648	532	552	4⁶⁴⁸	–24¹³⁵	OA(28,24)?
?	784	145	12	30	5⁶³⁸	–23¹⁴⁵
		638	522	506	22¹⁴⁵	–6⁶³⁸
+	784	162	46	30	22¹⁶²	–6⁶²¹	OA(28,6)
		621	488	506	5⁶²¹	–23¹⁶²	OA(28,23)?
?	784	174	26	42	6⁶⁰⁹	–22¹⁷⁴
		609	476	462	21¹⁷⁴	–7⁶⁰⁹
+	784	189	56	42	21¹⁸⁹	–7⁵⁹⁴	OA(28,7)
		594	446	462	6⁵⁹⁴	–22¹⁸⁹	OA(28,22)?
?	784	203	42	56	7⁵⁸⁰	–21²⁰³
		580	432	420	20²⁰³	–8⁵⁸⁰
?	784	216	68	56	20²¹⁶	–8⁵⁶⁷	OA(28,8)?
		567	406	420	7⁵⁶⁷	–21²¹⁶	OA(28,21)?
?	784	228	42	76	4⁷⁰³	–38⁸⁰	pg(6,37,2)?
		555	402	370	37⁸⁰	–5⁷⁰³
?	784	232	60	72	8⁵⁵¹	–20²³²
		551	390	380	19²³²	–9⁵⁵¹
-	784	243	42	90	3⁷³⁵	–51⁴⁸	Krein2
		540	386	340	50⁴⁸	–4⁷³⁵	Krein1
+	784	243	82	72	19²⁴³	–9⁵⁴⁰	Mathon; OA(28,9)?
		540	368	380	8⁵⁴⁰	–20²⁴³	OA(28,20)?
?	784	261	80	90	9⁵²²	–19²⁶¹
		522	350	342	18²⁶¹	–10⁵²²
?	784	261	108	76	37⁸⁷	–5⁶⁹⁶
		522	336	370	4⁶⁹⁶	–38⁸⁷
+	784	270	98	90	18²⁷⁰	–10⁵¹³	Mathon; OA(28,10)?
		513	332	342	9⁵¹³	–19²⁷⁰	OA(28,19)?
?	784	290	102	110	10⁴⁹³	–18²⁹⁰
		493	312	306	17²⁹⁰	–11⁴⁹³
+	784	297	116	110	17²⁹⁷	–11⁴⁸⁶	Mathon; OA(28,11)?
		486	298	306	10⁴⁸⁶	–18²⁹⁷	OA(28,18)?
?	784	319	126	132	11⁴⁶⁴	–17³¹⁹
		464	276	272	16³¹⁹	–12⁴⁶⁴
?	784	324	136	132	16³²⁴	–12⁴⁵⁹	OA(28,12)?
		459	266	272	11⁴⁵⁹	–17³²⁴	OA(28,17)?
?	784	348	152	156	12⁴³⁵	–16³⁴⁸
		435	242	240	15³⁴⁸	–13⁴³⁵
?	784	348	182	132	54⁴⁸	–4⁷³⁵
		435	218	270	3⁷³⁵	–55⁴⁸
?	784	351	158	156	15³⁵¹	–13⁴³²	OA(28,13)?
		432	236	240	12⁴³²	–16³⁵¹	OA(28,16)?
+	784	377	180	182	13⁴⁰⁶	–15³⁷⁷	RSHCD^–; 2-graph
		406	210	210	14³⁷⁷	–14⁴⁰⁶	from 2-(28,2,1) with 1-factor Fickus et al.; 2-graph
+	784	378	182	182	14³⁷⁸	–14⁴⁰⁵	OA(28,14)?; Wallis (AR(2,7)+S(2,2,28)); RSHCD⁺; 2-graph
		405	208	210	13⁴⁰⁵	–15³⁷⁸	OA(28,15)?; Wallis2 (AR(2,7)+S(2,2,28)); Goethals-Seidel(2,27); 2-graph
?	785	392	195	196	13.509³⁹²	–14.509³⁹²	2-graph\*?
-	789	394	196	197	13.545³⁹⁴	–14.545³⁹⁴	Conf
?	792	105	6	15	6⁵⁶⁰	–15²³¹
		686	595	588	14²³¹	–7⁵⁶⁰
?	792	259	106	74	37⁸⁸	–5⁷⁰³
		532	346	380	4⁷⁰³	–38⁸⁸
?	792	336	140	144	12⁴⁴⁰	–16³⁵¹	pg(21,15,9)?
		455	262	260	15³⁵¹	–13⁴⁴⁰
?	792	350	160	150	20²⁵²	–10⁵³⁹
		441	240	252	9⁵³⁹	–21²⁵²	pg(21,20,12)?
?	793	162	21	36	6⁶¹⁰	–21¹⁸²
		630	503	490	20¹⁸²	–7⁶¹⁰
?	793	280	87	105	7⁶¹⁰	–25¹⁸²
		512	336	320	24¹⁸²	–8⁶¹⁰
?	793	330	147	130	25¹⁸²	–8⁶¹⁰
		462	261	280	7⁶¹⁰	–26¹⁸²
?	793	396	197	198	13.580³⁹⁶	–14.580³⁹⁶	2-graph\*?
+	797	398	198	199	13.616³⁹⁸	–14.616³⁹⁸	Paley(797); 2-graph\*
?	800	85	0	10	5⁵⁹⁵	–15²⁰⁴
		714	638	630	14²⁰⁴	–6⁵⁹⁵
?	800	94	18	10	14²³⁵	–6⁵⁶⁴
		705	620	630	5⁵⁶⁴	–15²³⁵
?	800	187	42	44	11⁴²⁵	–13³⁷⁴
		612	468	468	12³⁷⁴	–12⁴²⁵
?	800	204	28	60	4⁷¹⁴	–36⁸⁵	q222=0
		595	450	420	35⁸⁵	–5⁷¹⁴	q111=0
?	800	235	90	60	35⁹⁴	–5⁷⁰⁵
		564	388	420	4⁷⁰⁵	–36⁹⁴
?	800	340	150	140	20²⁵⁵	–10⁵⁴⁴
		459	258	270	9⁵⁴⁴	–21²⁵⁵
?	800	357	148	168	7⁶²⁴	–27¹⁷⁵
		442	252	234	26¹⁷⁵	–8⁶²⁴
?	800	376	204	152	56⁴⁷	–4⁷⁵²
		423	198	252	3⁷⁵²	–57⁴⁷

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