Information on Result #1812765
Digital (24, 60, 374)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8160, 374, F81, 3, 36) (dual of [(374, 3), 1062, 37]-NRT-code), using
- strength reduction [i] based on linear OOA(8160, 374, F81, 3, 37) (dual of [(374, 3), 1062, 38]-NRT-code), using
- construction X applied to AG(3;F,1069P) ⊂ AG(3;F,1077P) [i] based on
- linear OOA(8153, 369, F81, 3, 37) (dual of [(369, 3), 1054, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1069P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8145, 369, F81, 3, 29) (dual of [(369, 3), 1062, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1077P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(817, 5, F81, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 81, F81, 3, 7) (dual of [(81, 3), 236, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;236,81) [i]
- discarding factors / shortening the dual code based on linear OOA(817, 81, F81, 3, 7) (dual of [(81, 3), 236, 8]-NRT-code), using
- construction X applied to AG(3;F,1069P) ⊂ AG(3;F,1077P) [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.