Information on Result #1440785
Linear OOA(733, 152, F7, 2, 14) (dual of [(152, 2), 271, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(733, 152, F7, 14) (dual of [152, 119, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(733, 158, F7, 14) (dual of [158, 125, 15]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(732, 156, F7, 14) (dual of [156, 124, 15]-code), using
- trace code [i] based on linear OA(4916, 78, F49, 14) (dual of [78, 62, 15]-code), using
- extended algebraic-geometric code AGe(F,63P) [i] based on function field F/F49 with g(F) = 2 and N(F) ≥ 78, using
- trace code [i] based on linear OA(4916, 78, F49, 14) (dual of [78, 62, 15]-code), using
- linear OA(732, 157, F7, 13) (dual of [157, 125, 14]-code), using Gilbert–Varšamov bound and bm = 732 > Vbs−1(k−1) = 620 252941 133874 427754 832289 [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(732, 156, F7, 14) (dual of [156, 124, 15]-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.