Information on Result #1302107
Linear OA(763, 186, F7, 28) (dual of [186, 123, 29]-code), using construction X with Varšamov bound based on
- linear OA(762, 184, F7, 28) (dual of [184, 122, 29]-code), using
- trace code [i] based on linear OA(4931, 92, F49, 28) (dual of [92, 61, 29]-code), using
- extended algebraic-geometric code AGe(F,63P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- trace code [i] based on linear OA(4931, 92, F49, 28) (dual of [92, 61, 29]-code), using
- linear OA(762, 185, F7, 27) (dual of [185, 123, 28]-code), using Gilbert–Varšamov bound and bm = 762 > Vbs−1(k−1) = 5228 172781 375154 641472 439496 650907 948057 878163 258177 [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
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.