Information on Result #1798010
Digital (44, 75, 382)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(975, 382, F9, 31) (dual of [382, 307, 32]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(974, 380, F9, 31) (dual of [380, 306, 32]-code), using
- trace code [i] based on linear OA(8137, 190, F81, 31) (dual of [190, 153, 32]-code), using
- extended algebraic-geometric code AGe(F,158P) [i] based on function field F/F81 with g(F) = 6 and N(F) ≥ 190, using
- trace code [i] based on linear OA(8137, 190, F81, 31) (dual of [190, 153, 32]-code), using
- linear OA(974, 381, F9, 30) (dual of [381, 307, 31]-code), using Gilbert–Varšamov bound and bm = 974 > Vbs−1(k−1) = 3847 901680 424709 835126 936895 014502 816690 241341 511126 673552 677275 919969 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(974, 380, F9, 31) (dual of [380, 306, 32]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.