Information on Result #1812594
Digital (21, 51, 374)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8151, 374, F81, 2, 30) (dual of [(374, 2), 697, 31]-NRT-code), using
- construction X applied to AG(2;F,707P) ⊂ AG(2;F,713P) [i] based on
- linear OOA(8146, 369, F81, 2, 30) (dual of [(369, 2), 692, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,707P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8140, 369, F81, 2, 24) (dual of [(369, 2), 698, 25]-NRT-code), using algebraic-geometric NRT-code AG(2;F,713P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(815, 5, F81, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;157,81) [i]
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 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.