Information on Result #1303005
Linear OA(8162, 171, F8, 124) (dual of [171, 9, 125]-code), using construction X with Varšamov bound based on
- linear OA(8159, 167, F8, 124) (dual of [167, 8, 125]-code), using
- 1 times truncation [i] based on linear OA(8160, 168, F8, 125) (dual of [168, 8, 126]-code), using
- concatenation of two codes [i] based on
- linear OA(6420, 24, F64, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OA(6420, 24, F64, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(8160, 168, F8, 125) (dual of [168, 8, 126]-code), using
- linear OA(8159, 168, F8, 121) (dual of [168, 9, 122]-code), using Gilbert–Varšamov bound and bm = 8159 > Vbs−1(k−1) = 346060 037189 918958 674365 488070 603109 161599 619870 347100 893340 968606 133995 099073 140240 970512 595940 519900 982602 383890 721214 212334 865042 422607 094224 [i]
- linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using
- dual of repetition code with length 3 [i]
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.