Information on Result #1300337
Linear OA(4155, 192, F4, 81) (dual of [192, 37, 82]-code), using construction X with Varšamov bound based on
- linear OA(4154, 190, F4, 81) (dual of [190, 36, 82]-code), using
- 2 times truncation [i] based on linear OA(4156, 192, F4, 83) (dual of [192, 36, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(6420, 32, F64, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(6420, 32, F64, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,64)), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(4156, 192, F4, 83) (dual of [192, 36, 84]-code), using
- linear OA(4154, 191, F4, 80) (dual of [191, 37, 81]-code), using Gilbert–Varšamov bound and bm = 4154 > Vbs−1(k−1) = 394 583150 524142 362810 287685 963229 783714 490187 524867 658377 625755 026365 584891 850245 201682 060624 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.