Information on Result #932859
Linear OOA(25101, 290, F25, 2, 57) (dual of [(290, 2), 479, 58]-NRT-code), using construction X applied to AG(2;F,516P) ⊂ AG(2;F,520P) based on
- linear OOA(2598, 287, F25, 2, 57) (dual of [(287, 2), 476, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,516P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OOA(2594, 287, F25, 2, 53) (dual of [(287, 2), 480, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,520P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288 (see above)
- linear OOA(253, 3, F25, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;47,25) [i]
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
Mode: Constructive and 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 | Digital (44, 101, 290)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |