Information on Result #530082

There is no linear OA(2116, 2756, F2, 26) (dual of [2756, 2640, 27]-code), because the Johnson bound shows that N ≤ 521 823855 375404 202722 572333 937130 214050 048430 037554 116284 092698 284298 439165 434430 102013 129059 324759 609258 979943 754904 846461 251752 094421 849566 421419 359244 930137 193462 374443 814831 129684 350421 586148 166808 360121 485490 978599 530479 146168 711372 248776 086714 196777 844275 925662 520420 603369 655505 929432 559576 064770 133302 824719 191292 463546 500580 647541 202928 120578 954659 671730 366759 652502 377025 958334 532408 246471 329306 141940 005343 307221 408099 362479 505983 938673 570948 855297 723526 672020 045821 154046 240513 235024 681229 142126 588805 190723 507428 732783 318678 751218 870768 512502 900155 520149 472061 456649 843518 184883 960861 326370 392615 884312 214879 067995 162734 632195 362326 325632 251838 724684 368382 187844 410353 893097 092663 702530 002308 066719 969505 107595 268081 371180 252079 401391 075560 999866 084140 389786 239433 817534 997607 948968 < 22640

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(2117, 2757, F2, 27) (dual of [2757, 2640, 28]-code) [i]Truncation