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  v k λ μ rf sgcomments
? 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 possibly projective 4-ary [55,5] code with weights 40, 48
    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 possibly projective 4-ary [66,5] code with weights 48, 56; 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 Dissett - 2-wt binary [231,10,112] code; Polhill; possibly 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)?; possibly projective 4-ary [88,5] code with weights 64, 72
    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 Dissett - 2-wt binary [297,10,144] code; Polhill; possibly 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 Dissett - 2-wt binary [330,10,160] code; Polhill; pg(15,21,5)?; possibly projective 4-ary [110,5] code with weights 80, 88
    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)
- 1024 341 168 86 8531 –3992 Absolute bound
    682 426 510 2992 –8631 Absolute bound
+ 1024 363 122 132 11660 –21363 Dissett - 2-wt binary [363,10,176] code; possibly 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 - 2-wt binary [396,10,192] code; possibly 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 - 2-wt binary [429,10,208] code; possibly 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 - 2-wt binary [462,10,224] code; possibly 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); 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); 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\*

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