Information on Result #529929
There is no linear OA(2102, 5330, F2, 20) (dual of [5330, 5228, 21]-code), because the Johnson bound shows that N ≤ 60 904557 353050 043604 160688 654785 336893 014965 456605 964529 615067 431294 290429 799021 452148 994899 868880 510562 822775 599469 379960 140923 782690 203933 518786 215671 001526 306798 386905 449396 577050 229296 386722 062342 029548 487883 610682 592889 015182 904803 177636 582788 823408 759973 057636 232026 078327 338414 461686 575256 238894 740301 489526 864782 378117 389539 114878 148955 740196 574728 154101 910504 346689 264213 905602 769587 605551 458415 056537 020100 533911 151937 601640 677220 492861 307326 454668 156864 940770 232649 956057 103114 167196 099455 966257 755039 435677 984597 692604 565729 371229 095608 377052 525252 191006 440449 232360 344963 921984 547121 408742 021391 538029 196561 350876 462129 513307 085746 362398 765008 595705 925700 314027 159482 376805 061557 051761 935518 483727 136287 250007 759050 402004 338116 537104 820215 367783 553098 557870 801707 579985 462264 431734 739530 442136 103179 896366 799684 513547 276700 352075 216169 720901 351125 112595 233118 522251 089654 729450 337367 581242 216854 084320 201328 222540 933662 430945 944311 779671 932329 520486 159175 486872 756507 489155 676068 446307 766699 149478 655450 761770 816528 094545 001641 331754 167847 850834 329587 041213 122441 614001 191226 387797 455396 679364 716085 608973 740177 957864 376147 591583 286293 912117 504637 555504 657377 693722 906920 238352 352690 583378 091539 940695 243140 245935 259360 563406 833816 543821 180633 714038 035508 262534 457802 563404 604516 791436 970757 017405 217982 669471 606670 563860 170377 243069 028910 969906 941567 705776 171594 354511 810845 879438 024272 786847 385198 375081 045215 908694 561678 437865 392587 512459 403590 974062 411940 348510 894700 831363 286803 700626 210949 676963 754488 270185 346351 892210 851136 814977 558900 630418 157175 952638 < 25228
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2103, 5331, F2, 21) (dual of [5331, 5228, 22]-code) | [i] | Truncation | |