Information on Result #1803764
Digital (13, 31, 128)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2531, 128, F25, 2, 18) (dual of [(128, 2), 225, 19]-NRT-code), using
- construction X applied to AG(2;F,231P) ⊂ AG(2;F,235P) [i] based on
- linear OOA(2528, 125, F25, 2, 18) (dual of [(125, 2), 222, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,231P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OOA(2524, 125, F25, 2, 14) (dual of [(125, 2), 226, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,235P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(253, 3, F25, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;47,25) [i]
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- linear OOA(2528, 125, F25, 2, 18) (dual of [(125, 2), 222, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,231P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, 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.