Information on Result #1810818
Digital (17, 53, 100)-net over F49, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4953, 100, F49, 3, 36) (dual of [(100, 3), 247, 37]-NRT-code), using
- strength reduction [i] based on linear OOA(4953, 100, F49, 3, 37) (dual of [(100, 3), 247, 38]-NRT-code), using
- construction X applied to AG(3;F,235P) ⊂ AG(3;F,249P) [i] based on
- linear OOA(4940, 91, F49, 3, 37) (dual of [(91, 3), 233, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,235P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OOA(4926, 91, F49, 3, 23) (dual of [(91, 3), 247, 24]-NRT-code), using algebraic-geometric NRT-code AG(3;F,249P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OOA(4913, 9, F49, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 3, 13) (dual of [(49, 3), 134, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;134,49) [i]
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 3, 13) (dual of [(49, 3), 134, 14]-NRT-code), using
- construction X applied to AG(3;F,235P) ⊂ AG(3;F,249P) [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.