Information on Result #1300869
Linear OA(4217, 272, F4, 111) (dual of [272, 55, 112]-code), using construction X with Varšamov bound based on
- linear OA(4216, 270, F4, 111) (dual of [270, 54, 112]-code), using
- concatenation of two codes [i] based on
- linear OA(6427, 45, F64, 27) (dual of [45, 18, 28]-code or 45-arc in PG(26,64)), using
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- Reed–Solomon code RS(37,64) [i]
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), 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(6427, 45, F64, 27) (dual of [45, 18, 28]-code or 45-arc in PG(26,64)), using
- concatenation of two codes [i] based on
- linear OA(4216, 271, F4, 110) (dual of [271, 55, 111]-code), using Gilbert–Varšamov bound and bm = 4216 > Vbs−1(k−1) = 7939 099963 812053 295554 572479 022645 688017 479939 936782 778151 258928 725662 212125 542320 974518 453668 572313 103832 120199 232151 463933 837656 [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.
Other Results with Identical Parameters
None.
Depending Results
None.