Information on Result #1812949
Digital (29, 69, 502)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8169, 502, F81, 2, 40) (dual of [(502, 2), 935, 41]-NRT-code), using
- construction X applied to AG(2;F,957P) ⊂ AG(2;F,961P) [i] based on
- linear OOA(8166, 499, F81, 2, 40) (dual of [(499, 2), 932, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,957P) [i] based on function field F/F81 with g(F) = 26 and N(F) ≥ 500, using
- linear OOA(8162, 499, F81, 2, 36) (dual of [(499, 2), 936, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,961P) [i] based on function field F/F81 with g(F) = 26 and N(F) ≥ 500 (see above)
- linear OOA(813, 3, F81, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;159,81) [i]
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-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.