Information on Result #1301121
Linear OA(4248, 309, F4, 127) (dual of [309, 61, 128]-code), using construction X with Varšamov bound based on
- linear OA(4246, 306, F4, 127) (dual of [306, 60, 128]-code), using
- concatenation of two codes [i] based on
- linear OA(6431, 51, F64, 31) (dual of [51, 20, 32]-code or 51-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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(6431, 51, F64, 31) (dual of [51, 20, 32]-code or 51-arc in PG(30,64)), using
- concatenation of two codes [i] based on
- linear OA(4246, 307, F4, 125) (dual of [307, 61, 126]-code), using Gilbert–Varšamov bound and bm = 4246 > Vbs−1(k−1) = 4506 662035 792265 281278 602815 665396 748251 340201 267424 894576 974786 244376 734284 851281 929446 409768 104771 357048 090025 160251 331033 980606 552625 549170 789696 [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.