Information on Result #1300838
Linear OA(4212, 264, F4, 109) (dual of [264, 52, 110]-code), using construction X with Varšamov bound based on
- linear OA(4211, 262, F4, 109) (dual of [262, 51, 110]-code), using
- 2 times truncation [i] based on linear OA(4213, 264, F4, 111) (dual of [264, 51, 112]-code), using
- concatenation of two codes [i] based on
- linear OA(6427, 44, F64, 27) (dual of [44, 17, 28]-code or 44-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, 44, F64, 27) (dual of [44, 17, 28]-code or 44-arc in PG(26,64)), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(4213, 264, F4, 111) (dual of [264, 51, 112]-code), using
- linear OA(4211, 263, F4, 108) (dual of [263, 52, 109]-code), using Gilbert–Varšamov bound and bm = 4211 > Vbs−1(k−1) = 6 506619 134372 098124 366968 630394 364570 610228 487201 326591 331069 813334 195733 088583 173512 744561 370955 834297 703586 961654 012062 998336 [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.