Information on Result #1301963
Linear OA(729, 158, F7, 12) (dual of [158, 129, 13]-code), using construction X with Varšamov bound based on
- linear OA(728, 156, F7, 12) (dual of [156, 128, 13]-code), using
- trace code [i] based on linear OA(4914, 78, F49, 12) (dual of [78, 64, 13]-code), using
- extended algebraic-geometric code AGe(F,65P) [i] based on function field F/F49 with g(F) = 2 and N(F) ≥ 78, using
- trace code [i] based on linear OA(4914, 78, F49, 12) (dual of [78, 64, 13]-code), using
- linear OA(728, 157, F7, 11) (dual of [157, 129, 12]-code), using Gilbert–Varšamov bound and bm = 728 > Vbs−1(k−1) = 107162 068763 586959 430049 [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.