v	k	λ	μ	rf	sg	comments
+	701	350	174	175	12.738350	–13.738350	Paley(701); 2-graph\*
!	703	72	36	4	3437	–2665	Triangular graph T(38)
		630	561	595	1665	–3537	pg(18,34,17)?
?	703	182	81	35	4937	–3665
		520	372	420	2665	–5037
?	704	37	0	2	5407	–7296
		666	630	630	6296	–6407
?	704	190	54	50	14285	–10418	pg(19,9,5)?
		513	372	378	9418	–15285
?	704	228	52	84	4627	–3676
		475	330	300	3576	–5627
?	705	256	80	100	6564	–26140
		448	291	273	25140	–7564
?	705	308	145	126	26140	–7564
		396	213	234	6564	–27140
-	705	352	175	176	12.776352	–13.776352	Conf
+	709	354	176	177	12.814354	–13.814354	Paley(709); 2-graph\*
?	711	70	5	7	7395	–9315
		640	576	576	8315	–8395
?	711	230	85	69	23158	–7552
		480	318	336	6552	–24158
-	713	356	177	178	12.851356	–13.851356	Conf
?	714	92	10	12	8391	–10322
		621	540	540	9322	–9391
?	714	161	40	35	14272	–9441
		552	425	432	8441	–15272
?	714	217	56	70	7527	–21186
		496	348	336	20186	–8527
?	714	248	97	80	24153	–7560
		465	296	315	6560	–25153
?	715	120	20	20	10351	–10363	pg(12,9,2)?
		594	493	495	9363	–11351
?	715	154	33	33	11350	–11364
		560	438	440	10364	–12350
?	715	224	48	80	4637	–3677
		490	345	315	3577	–5637
?	715	228	65	76	8494	–19220	pg(12,18,4)?
		486	333	324	18220	–9494
?	715	266	105	95	19220	–9494
		448	276	288	8494	–20220
?	715	272	102	104	12374	–14340
		442	273	273	13340	–13374
-	717	358	178	179	12.888358	–13.888358	Conf
?	721	192	48	52	10412	–14308
		528	387	385	13308	–11412
?	721	220	69	66	14308	–11412
		500	345	350	10412	–15308
?	721	324	147	144	15308	–12412	S(2,12,309)?
		396	215	220	11412	–16308
-	721	360	179	180	12.926360	–13.926360	Conf
?	722	103	12	15	8412	–11309
		618	529	528	10309	–9412
?	722	105	16	15	10336	–9385
		616	525	528	8385	–11336
?	722	309	116	144	5618	–33103
		412	246	220	32103	–6618
?	722	336	170	144	32105	–6616
		385	192	220	5616	–33105
-	725	148	3	37	3666	–3758	Krein2
		576	464	432	3658	–4666	Krein1
+	725	196	63	49	21174	–7550	S(2,7,175)
		528	380	396	6550	–22174	pg(24,21,18)?
?	725	362	180	181	12.963362	–13.963362	2-graph\*?
-	726	29	4	1	7261	–4464	mu=1
		696	667	672	3464	–8261
?	726	116	10	20	6522	–16203
		609	512	504	15203	–7522
?	726	125	28	20	15225	–7500
		600	494	504	6500	–16225
?	726	140	22	28	8455	–14270	pg(10,13,2)?
		585	472	468	13270	–9455
?	726	145	32	28	13290	–9435
		580	462	468	8435	–14290
+	726	145	44	25	24120	–5605	S(2,5,121)
		580	459	480	4605	–25120
-	726	195	88	39	5236	–3689	Absolute bound
		530	373	424	2689	–5336	Absolute bound
-	726	200	10	72	2700	–6425	Krein2; Absolute bound
		525	396	336	6325	–3700	Krein1; Absolute bound
?	726	203	40	63	5609	–28116
		522	381	360	27116	–6609
?	726	225	84	63	27125	–6600
		500	337	360	5600	–28125
-	726	261	132	72	6329	–3696	Absolute bound
		464	274	336	2696	–6429	Absolute bound
?	726	270	87	108	6585	–27140	pg(10,26,4)?
		455	292	273	26140	–7585
?	726	290	127	108	26145	–7580
		435	252	273	6580	–27145
?	726	300	95	144	3680	–5245
		425	268	221	5145	–4680
?	726	325	164	130	3975	–5650
		400	204	240	4650	–4075	pg(10,39,6)?
!	729	52	25	2	2552	–2676	272; from a partial spread of 3-spaces: projective ternary [26,6] code with weights 9, 18
		676	625	650	1676	–2652	OA(27,26)
+	729	78	27	6	2478	–3650	OA(27,3); from a partial spread of 3-spaces: projective ternary [39,6] code with weights 18, 27
		650	577	600	2650	–2578	OA(27,25)
+	729	88	7	11	7440	–11288	Godsil(q=9,r=5); GQ(8,10)
		640	562	560	10288	–8440
+	729	104	31	12	23104	–4624	OA(27,4); Bilin2x3(3); from a Baer subplane: projective 9-ary [13,3] code with weights 9, 12; from a partial spread of 3-spaces: projective ternary [52,6] code with weights 27, 36
		624	531	552	3624	–24104	OA(27,24)
!	729	112	1	20	4616	–23112	36.2.L3(4).2 (rk 4) - Hill cap: projective ternary [56,6] code with weights 36, 45; Bondarenko-Radchenko
		616	523	506	22112	–5616
+	729	130	37	20	22130	–5598	OA(27,5); from a partial spread of 3-spaces: projective ternary [65,6] code with weights 36, 45
		598	487	506	4598	–23130	OA(27,23)
?	729	140	13	30	5588	–22140
		588	477	462	21140	–6588
+	729	156	45	30	21156	–6572	OA(27,6); from a partial spread of 3-spaces: projective ternary [78,6] code with weights 45, 54
		572	445	462	5572	–22156	OA(27,22)
-	729	160	88	20	7018	–2710	Absolute bound
		568	427	497	1710	–7118	Absolute bound
+	729	168	27	42	6560	–21168	pg(8,20,2) - Mathon; Gulliver: projective ternary [84,6] code with weights 54, 63
		560	433	420	20168	–7560
-	729	182	1	60	2702	–6126	Krein2; Absolute bound
		546	423	366	6026	–3702	Krein1; Absolute bound
+	729	182	55	42	20182	–7546	OA(27,7); from a partial spread of 3-spaces: projective ternary [91,6] code with weights 54, 63
		546	405	420	6546	–21182	OA(27,21)
+	729	196	43	56	7532	–20196	Gulliver: projective ternary [98,6] code with weights 63, 72
		532	391	380	19196	–8532
?	729	208	37	68	4648	–3580
		520	379	350	3480	–5648
+	729	208	67	56	19208	–8520	OA(27,8); from a partial spread of Baer subplanes: projective 9-ary [26,3] code with weights 21, 24; Brouwer(q=3,d=2,e=3,+); from a partial spread of 3-spaces: projective ternary [104,6] code with weights 63, 72
		520	367	380	7520	–20208	OA(27,20)
+	729	224	61	72	8504	–19224	from a unital: projective 9-ary [28,3] code with weights 24, 27; VO–(6,3) affine polar graph
		504	351	342	18224	–9504
+	729	234	81	72	18234	–9494	OA(27,9); Wallis (AR(3,3)+S(2,3,27)); VNO+(6,3) affine polar graph; from a partial spread of 3-spaces: projective ternary [117,6] code with weights 72, 81
		494	331	342	8494	–19234	OA(27,19)
?	729	248	67	93	5620	–31108	pg(8,30,3)?
		480	324	300	30108	–6620
+	729	252	81	90	9476	–18252	VNO–(6,3) affine polar graph; projective ternary [126,6] code with weights 81, 90
		476	313	306	17252	–10476
+	729	260	97	90	17260	–10468	OA(27,10); Wallis2 (AR(3,3)+S(2,3,27)); VO+(6,3) affine polar graph; from a partial spread of 3-spaces: projective ternary [130,6] code with weights 81, 90
		468	297	306	9468	–18260	OA(27,18)
-	729	280	31	155	1720	–1258	Krein2; Absolute bound
		448	322	200	1248	–2720	Krein1; Absolute bound
+	729	280	103	110	10448	–17280	35-set of type (2,5) in PG(2,9) - De Resmini: projective 9-ary [35,3] code with weights 30, 33
		448	277	272	16280	–11448
?	729	280	127	95	3780	–5648
		448	262	296	4648	–3880
+	729	286	115	110	16286	–11442	OA(27,11); from a partial spread of 3-spaces: projective ternary [143,6] code with weights 90, 99
		442	265	272	10442	–17286	OA(27,17)
+	729	308	127	132	11420	–16308	Gulliver: projective ternary [154,6] code with weights 99, 108
		420	243	240	15308	–12420
+	729	312	135	132	15312	–12416	OA(27,12); from a partial spread of Baer subplanes: projective 9-ary [39,3] code with weights 33, 36; from a partial spread of 3-spaces: projective ternary [156,6] code with weights 99, 108
		416	235	240	11416	–16312	OA(27,16)
-	729	312	171	105	6926	–3702	Absolute bound
		416	208	276	2702	–7026	Absolute bound
?	729	320	166	120	5048	–4680
		408	207	255	3680	–5148	pg(8,50,5)?
+	729	328	127	164	4656	–4172	Godsil(q=9,r=2); pg(8,40,4)?; 2-graph\*
		400	235	200	4072	–5656	2-graph\*
+	729	336	153	156	12392	–15336	Penttila & Royle: projective 9-ary [42,3] code with weights 36, 39
		392	211	210	14336	–13392
+	729	338	157	156	14338	–13390	OA(27,13); Pasechnik(27); from a partial spread of 3-spaces: projective ternary [169,6] code with weights 108, 117
		390	207	210	12390	–15338	OA(27,15)
+	729	364	181	182	13364	–14364	Paley(729); OA(27,14); 2-graph\*
?	730	153	24	34	7510	–17219	pg(9,16,2)?
		576	456	448	16219	–8510
?	730	324	123	160	4657	–4172	2-graph?
		405	240	205	4072	–5657	2-graph?
+	730	351	168	169	13365	–14364	switch OA(27,14)+*; switch skewhad2+*; 2-graph
		378	195	196	13364	–14365	S(2,14,365)?; 2-graph
+	730	360	195	160	4073	–5656	2-graph
		369	168	205	4656	–4173	pg(9,40,5)?; Taylor 2-graph for U3(9)
?	731	250	105	75	3585	–5645
		480	304	336	4645	–3685
?	732	238	92	70	28122	–6609
		493	324	348	5609	–29122
+	733	366	182	183	13.037366	–14.037366	Paley(733); 2-graph\*
?	735	318	109	159	3689	–5345	pg(6,52,3)?; 2-graph\*?
		416	256	208	5245	–4689	2-graph\*?
?	735	360	172	180	10459	–18275	pg(20,17,10)?; 2-graph\*?
		374	193	187	17275	–11459	2-graph\*?
-	736	42	8	2	10207	–4528	μ=2 (Brouwer-Neumaier)
		693	652	660	3528	–11207
?	736	60	14	4	14160	–4575
		675	618	630	3575	–15160
?	736	105	20	14	13252	–7483	pg(15,6,2)?
		630	538	546	6483	–14252
?	736	168	32	40	8483	–16252
		567	438	432	15252	–9483
?	736	180	68	36	3669	–4666
		555	410	444	3666	–3769	pg(15,36,12)?
?	736	195	50	52	11390	–13345	pg(15,12,4)?
		540	396	396	12345	–12390
?	736	270	114	90	30115	–6620
		465	284	310	5620	–31115	pg(15,30,10)?
?	736	294	122	114	18252	–10483
		441	260	270	9483	–19252
?	736	315	106	156	3690	–5345	2-graph?
		420	260	212	5245	–4690	2-graph?
?	736	330	140	154	8528	–22207	pg(15,21,7)?
		405	228	216	21207	–9528
?	736	350	162	170	10460	–18275	2-graph?
		385	204	198	17275	–11460	2-graph?
?	736	357	176	170	17276	–11459	2-graph?
		378	190	198	10459	–18276	2-graph?
?	736	364	204	156	5246	–4689	2-graph?
		371	162	212	3689	–5346	pg(7,52,4)?; 2-graph?
+	737	96	35	9	2966	–3670	S(2,3,67)
		640	552	580	2670	–3066
-	737	368	183	184	13.074368	–14.074368	Conf
!	741	74	37	4	3538	–2702	Triangular graph T(39)
		666	595	630	1702	–3638
?	741	180	39	45	9455	–15285	pg(12,14,3)?
		560	424	420	14285	–10455
?	741	260	91	91	13360	–13380
		480	310	312	12380	–14360
?	741	320	130	144	8532	–22208
		420	243	231	21208	–9532
-	741	370	184	185	13.111370	–14.111370	Conf
?	742	221	60	68	9476	–17265	pg(13,16,4)?
		520	366	360	16265	–10476
?	742	255	92	85	17265	–10476
		486	315	324	9476	–18265	S(2,18,477)?
?	742	285	92	120	5636	–33105
		456	290	264	32105	–6636
?	742	351	180	153	33105	–6636
		390	191	220	5636	–34105
?	745	372	185	186	13.147372	–14.147372	2-graph\*?
?	748	180	53	40	20187	–7560
		567	426	441	6560	–21187	S(2,21,561)?
-	749	374	186	187	13.184374	–14.184374	Conf
?	750	112	20	16	12294	–8455	pg(14,7,2)?
		637	540	546	7455	–13294
?	750	210	55	60	10441	–15308	pg(14,14,4)?
		539	388	385	14308	–11441
?	750	214	63	60	14321	–11428
		535	380	385	10428	–15321
?	750	308	118	132	8539	–22210	pg(14,21,6)?
		441	264	252	21210	–9539
?	750	321	144	132	21214	–9535
		428	238	252	8535	–22214
?	750	343	168	147	28140	–7609
		406	209	232	6609	–29140	pg(14,28,8)?

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