Information on Result #1301150
Linear OA(4253, 314, F4, 130) (dual of [314, 61, 131]-code), using construction X with Varšamov bound based on
- linear OA(4251, 311, F4, 130) (dual of [311, 60, 131]-code), using
- 1 times truncation [i] based on linear OA(4252, 312, F4, 131) (dual of [312, 60, 132]-code), using
- concatenation of two codes [i] based on
- linear OA(6432, 52, F64, 32) (dual of [52, 20, 33]-code or 52-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(6432, 52, F64, 32) (dual of [52, 20, 33]-code or 52-arc in PG(31,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4252, 312, F4, 131) (dual of [312, 60, 132]-code), using
- linear OA(4251, 312, F4, 128) (dual of [312, 61, 129]-code), using Gilbert–Varšamov bound and bm = 4251 > Vbs−1(k−1) = 5 108501 602030 868429 408968 892854 509357 003297 079919 146978 833176 283245 194895 803662 411837 641541 390302 587072 348527 829763 179294 596564 521627 010158 320969 424128 [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.
Other Results with Identical Parameters
None.
Depending Results
None.