Information on Result #1300320
Linear OA(4154, 188, F4, 82) (dual of [188, 34, 83]-code), using construction X with Varšamov bound based on
- linear OA(4152, 185, F4, 82) (dual of [185, 33, 83]-code), using
- 1 times truncation [i] based on linear OA(4153, 186, F4, 83) (dual of [186, 33, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(6420, 31, F64, 20) (dual of [31, 11, 21]-code or 31-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, 31, F64, 20) (dual of [31, 11, 21]-code or 31-arc in PG(19,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4153, 186, F4, 83) (dual of [186, 33, 84]-code), using
- linear OA(4152, 186, F4, 80) (dual of [186, 34, 81]-code), using Gilbert–Varšamov bound and bm = 4152 > Vbs−1(k−1) = 26 213088 153846 379932 214397 538980 761419 339303 411313 928972 220371 295434 993831 871392 531882 642416 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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.