Information on Result #529883

There is no linear OA(295, 6244, F2, 18) (dual of [6244, 6149, 19]-code), because the Johnson bound shows that N ≤ 1079 990784 367618 341199 190917 525484 818314 247933 022092 268337 657946 387199 542182 981003 894135 106762 856453 318282 728927 483272 954435 537016 214371 887517 436891 682683 660702 561539 814073 055357 025439 847233 010563 748914 983689 549516 456653 160649 374246 599312 854226 961700 617204 521448 728333 452425 724175 022150 975611 144261 750852 380864 377939 776542 516490 364966 625342 187627 895936 902453 650154 049829 691737 612288 820391 886079 366274 197289 726987 466374 925010 697973 446073 615514 208943 048682 543834 458273 303990 173459 683669 674079 868639 453488 713376 106308 691911 471189 751800 826808 184518 466306 826857 824541 288707 741030 350069 347910 656476 317308 844550 989831 174246 767797 852357 035931 455223 979854 489558 995496 867752 932934 717678 592712 162310 038744 718766 393700 432463 921853 827521 998902 735846 497582 721530 824491 528481 191828 059701 884948 936806 679465 666742 000762 449755 883562 106430 330672 644943 430911 728032 569376 109609 161764 389317 388525 289383 681071 035391 301472 937928 010834 648758 499835 087522 667499 399249 456722 373627 369989 038089 557533 872146 073884 982052 088703 878002 502831 199459 852749 401394 381183 937965 244716 157855 573177 722483 854415 683981 513959 426916 501029 575743 557399 446058 341697 877353 526908 900523 874917 338164 116611 285692 888179 086691 250626 555371 698820 969577 332319 145975 877494 573384 289678 943834 039011 823709 134411 765181 903442 007850 669248 502524 332810 372845 378517 464670 658014 000932 608375 836412 658619 509447 906933 048111 358411 479174 209927 081127 347173 735167 420459 808414 043109 658992 280957 750681 437284 703054 176076 745624 538357 193319 163708 593010 209782 807414 261174 843646 643959 164388 245049 601037 328137 299765 548126 864918 217264 898929 317414 824797 512732 447503 597736 597425 623167 996589 712669 770271 586267 341240 219835 202661 337896 908299 001398 551916 028515 823519 742835 930545 070099 407711 449602 372632 576531 596581 854762 101195 018252 866767 636647 696996 766818 657951 041387 196887 938160 911442 883136 769175 287242 373239 460800 596739 634538 436417 416318 794008 < 26149

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(296, 6245, F2, 19) (dual of [6245, 6149, 20]-code) [i]Truncation