Information on Result #1812431
Digital (17, 40, 371)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8140, 371, F81, 23) (dual of [371, 331, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8140, 372, F81, 23) (dual of [372, 332, 24]-code), using
- construction X applied to AG(F,345P) ⊂ AG(F,347P) [i] based on
- linear OA(8139, 369, F81, 23) (dual of [369, 330, 24]-code), using algebraic-geometric code AG(F,345P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8137, 369, F81, 21) (dual of [369, 332, 22]-code), using algebraic-geometric code AG(F,347P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,345P) ⊂ AG(F,347P) [i] based on
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.