Information on Result #1440810
Linear OOA(735, 147, F7, 2, 15) (dual of [(147, 2), 259, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(735, 147, F7, 15) (dual of [147, 112, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(735, 158, F7, 15) (dual of [158, 123, 16]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(734, 156, F7, 15) (dual of [156, 122, 16]-code), using
- trace code [i] based on linear OA(4917, 78, F49, 15) (dual of [78, 61, 16]-code), using
- extended algebraic-geometric code AGe(F,62P) [i] based on function field F/F49 with g(F) = 2 and N(F) ≥ 78, using
- trace code [i] based on linear OA(4917, 78, F49, 15) (dual of [78, 61, 16]-code), using
- linear OA(734, 157, F7, 14) (dual of [157, 123, 15]-code), using Gilbert–Varšamov bound and bm = 734 > Vbs−1(k−1) = 41275 335725 684939 909098 627489 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(734, 156, F7, 15) (dual of [156, 122, 16]-code), using
- construction X with Varšamov bound [i] based on
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.