Information on Result #1303025
Linear OA(8166, 175, F8, 127) (dual of [175, 9, 128]-code), using construction X with Varšamov bound based on
- linear OA(8163, 171, F8, 127) (dual of [171, 8, 128]-code), using
- 5 times truncation [i] based on linear OA(8168, 176, F8, 132) (dual of [176, 8, 133]-code), using
- concatenation of two codes [i] based on
- linear OA(6418, 22, F64, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- linear OA(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
- Reed–Solomon code RS(2,8) [i]
- linear OA(6418, 22, F64, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), using
- concatenation of two codes [i] based on
- 5 times truncation [i] based on linear OA(8168, 176, F8, 132) (dual of [176, 8, 133]-code), using
- linear OA(8163, 172, F8, 124) (dual of [172, 9, 125]-code), using Gilbert–Varšamov bound and bm = 8163 > Vbs−1(k−1) = 1126 701898 029431 738197 139284 174458 500335 722152 576684 268561 923201 029470 823601 761304 975281 239841 090213 718567 395976 824608 692994 188720 313658 113667 480704 [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.