Information on Result #1810712
Digital (16, 48, 104)-net over F49, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4948, 104, F49, 2, 32) (dual of [(104, 2), 160, 33]-NRT-code), using
- construction X applied to AG(2;F,149P) ⊂ AG(2;F,163P) [i] based on
- linear OOA(4935, 91, F49, 2, 32) (dual of [(91, 2), 147, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,149P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OOA(4921, 91, F49, 2, 18) (dual of [(91, 2), 161, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,163P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OOA(4913, 13, F49, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 2, 13) (dual of [(49, 2), 85, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;85,49) [i]
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 2, 13) (dual of [(49, 2), 85, 14]-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.