Information on Result #1813692
Digital (20, 51, 390)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12851, 390, F128, 2, 31) (dual of [(390, 2), 729, 32]-NRT-code), using
- construction X applied to AG(2;F,738P) ⊂ AG(2;F,744P) [i] based on
- linear OOA(12846, 385, F128, 2, 31) (dual of [(385, 2), 724, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,738P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12840, 385, F128, 2, 25) (dual of [(385, 2), 730, 26]-NRT-code), using algebraic-geometric NRT-code AG(2;F,744P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1285, 5, F128, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;251,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-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.