Information on Result #529848

There is no linear OA(286, 6485, F2, 16) (dual of [6485, 6399, 17]-code), because the Johnson bound shows that N ≤ 1 952990 858001 408723 504410 459012 721359 554659 772562 705575 980130 524931 720391 500098 942273 250448 980827 074455 085927 534035 566041 849051 532208 617758 838464 292412 144714 956358 133554 795207 645642 359946 222649 966300 753675 502451 306058 168625 895147 082753 946910 855368 282831 191283 403457 149247 121436 506639 297719 150008 713920 215013 985147 435183 353013 441880 818751 681133 799903 985849 143895 406644 236200 049100 665968 897091 228121 129831 169581 489598 229828 962287 393874 145417 831591 335533 524774 339440 864293 861709 469397 075494 494856 912179 362454 079109 578305 696816 755819 508685 992297 780972 291794 754355 477281 529977 465608 955976 750968 666687 209574 770101 767645 777827 679014 668952 529558 456612 131931 556731 253778 748185 726578 162066 550514 071167 681690 830978 365086 193737 497669 958836 498004 070052 364227 898786 200645 828264 391824 764109 018200 220600 836594 542575 739756 847071 513160 847977 267967 965181 533806 222290 452065 822998 272754 875307 556975 657654 557972 865866 969741 527855 847094 050144 789804 670878 244654 726140 754453 853476 875643 408592 566170 414740 736553 557683 800659 040726 641722 907671 532804 941339 405024 386130 600770 260429 102946 805883 330212 651224 721480 043546 596461 419116 771122 186698 006147 720388 394926 005622 268271 470674 683211 421701 769833 826783 332506 598289 206038 930721 060712 341190 544980 826680 446763 755229 950236 569603 764037 513143 262385 959109 417589 650934 538890 452616 638863 758130 699291 497784 945900 138006 387365 534546 945392 084823 481156 388024 077417 387811 295735 923141 008440 293142 916661 626939 032744 408628 925571 229032 945374 910504 518640 777508 570420 919289 434138 592352 202623 821760 844224 006610 431988 613738 409261 935456 416745 812046 819835 242113 970851 324874 388588 533940 703731 061272 913888 879618 602907 476629 439087 789428 288682 418126 481332 599935 141412 657374 258652 180834 634721 864574 587240 392254 621485 861814 628703 252383 478516 288791 971136 679538 293370 621869 982596 401868 854012 618347 601232 154354 923984 761128 692698 904588 590721 997674 301438 537191 166284 428248 022826 656443 431119 965505 312735 262644 196815 791745 705283 295185 761965 711138 < 26399

Mode: Bound (linear).

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(287, 6486, F2, 17) (dual of [6486, 6399, 18]-code) [i]Truncation