Information on Result #1813910
Digital (23, 62, 389)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12862, 389, F128, 4, 39) (dual of [(389, 4), 1494, 40]-NRT-code), using
- construction X applied to AG(4;F,1500P) ⊂ AG(4;F,1509P) [i] based on
- linear OOA(12854, 385, F128, 4, 39) (dual of [(385, 4), 1486, 40]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1500P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12845, 385, F128, 4, 30) (dual of [(385, 4), 1495, 31]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1509P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1288, 4, F128, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1288, 128, F128, 4, 8) (dual of [(128, 4), 504, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(4;504,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1288, 128, F128, 4, 8) (dual of [(128, 4), 504, 9]-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.