Information on Result #1300795
Linear OA(4207, 259, F4, 106) (dual of [259, 52, 107]-code), using construction X with Varšamov bound based on
- linear OA(4206, 257, F4, 106) (dual of [257, 51, 107]-code), using
- 1 times truncation [i] based on linear OA(4207, 258, F4, 107) (dual of [258, 51, 108]-code), using
- concatenation of two codes [i] based on
- linear OA(6426, 43, F64, 26) (dual of [43, 17, 27]-code or 43-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), 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(6426, 43, F64, 26) (dual of [43, 17, 27]-code or 43-arc in PG(25,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4207, 258, F4, 107) (dual of [258, 51, 108]-code), using
- linear OA(4206, 258, F4, 105) (dual of [258, 52, 106]-code), using Gilbert–Varšamov bound and bm = 4206 > Vbs−1(k−1) = 5740 096324 289761 583505 601341 569693 287643 237447 125252 724682 106800 145965 922238 167671 814674 882082 650730 862695 795586 318852 474644 [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.