Information on Result #529922

There is no linear OA(288, 2022, F2, 20) (dual of [2022, 1934, 21]-code), because the Johnson bound shows that N ≤ 1 548720 305242 011712 860863 355769 530433 780614 794841 144934 513876 251729 607352 925902 696364 501665 303703 337758 963088 435216 031610 730737 551447 144855 853354 604489 386432 853463 935320 445422 094753 560339 338014 443173 627063 792153 898096 884086 676430 697074 887369 355723 077498 465603 228185 944762 565460 914664 710366 656546 303354 924421 903473 658022 801953 833038 053084 652824 917335 961909 733603 435656 680646 246309 518660 038506 381084 638463 274001 936856 101423 900658 765218 343630 002531 435305 075107 940056 477328 354627 394997 436063 262368 471140 213961 460274 362694 072031 913484 581684 740788 949799 827966 124589 242356 972425 798008 236450 < 21934

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(289, 2023, F2, 21) (dual of [2023, 1934, 22]-code) [i]Truncation