Information on Result #1577906
Linear OOA(12858, 390, F128, 3, 36) (dual of [(390, 3), 1112, 37]-NRT-code), using construction X applied to AG(3;F,1118P) ⊂ AG(3;F,1126P) based on
- linear OOA(12851, 385, F128, 3, 36) (dual of [(385, 3), 1104, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1118P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12843, 385, F128, 3, 28) (dual of [(385, 3), 1112, 29]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1126P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1287, 5, F128, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;377,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12858, 390, F128, 4, 36) (dual of [(390, 4), 1502, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (22, 58, 390)-net over F128 | [i] | ||