Information on Result #529763
There is no linear OA(256, 6129, F2, 10) (dual of [6129, 6073, 11]-code), because the Johnson bound shows that N ≤ 14293 792166 959326 424541 945505 481761 810318 830891 135000 595230 044068 288269 885875 068728 019435 129678 487302 173759 037393 929380 589193 727819 615188 309726 414368 448313 706634 924103 526585 988799 347694 633857 915717 212547 386039 524415 094631 686083 725624 212351 448817 677626 962612 627805 264796 733892 126711 606702 064674 263674 405993 194130 444872 192203 201242 596813 525854 671065 035836 146641 373680 950325 004734 459716 682773 119061 625223 670533 657429 900569 512696 557374 357927 899710 335017 549631 472438 227010 670647 312092 732312 675078 024673 683360 086246 429428 776424 165881 197367 210577 088635 801106 587396 906341 725436 247103 798346 790580 507400 889525 631804 619572 746426 010588 610680 316783 899057 138279 716169 514095 264327 999624 603446 087795 669887 852350 711306 424575 406702 213795 741593 366236 708867 115018 405211 768102 981584 380002 608793 784375 581205 494942 696283 660596 933215 835738 778614 049631 706355 894299 539531 353787 571825 031164 488043 400726 592943 365143 838458 422502 652350 341348 877978 043942 642053 666813 588065 423672 246995 622593 377900 001655 937514 223566 733515 712229 959478 017051 429551 418191 715367 962476 602548 052710 958765 544232 737507 069336 045189 467116 440199 585511 490369 552072 337923 234116 561478 686978 643509 456130 546527 052872 025977 427127 523498 334201 473887 701111 093767 986684 890048 390596 895361 556190 631185 076477 131350 270220 028823 836864 474647 960373 807678 764947 906960 580958 506313 764831 144549 524080 920212 892016 758799 421772 311751 603380 838044 913906 163137 364099 004360 419723 622350 446244 952312 503119 407832 490981 343021 311112 383912 173929 149294 464829 841703 349330 284602 100544 799359 180009 838080 470721 651648 497936 387389 596580 133601 260185 170758 360056 714838 095682 090695 177959 959443 281439 234870 910082 438727 852697 708061 362608 653119 393206 238603 049438 750407 131742 141455 041502 244002 522561 015852 083484 446136 729916 486114 818668 364020 790562 594647 903629 544226 245275 444180 124602 219798 541012 231205 617940 927917 246090 649740 730001 538082 < 26073
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(257, 6130, F2, 11) (dual of [6130, 6073, 12]-code) | [i] | Truncation | |