Information on Result #932881
Linear OOA(25107, 292, F25, 2, 61) (dual of [(292, 2), 477, 62]-NRT-code), using construction X applied to AG(2;F,512P) ⊂ AG(2;F,518P) based on
- linear OOA(25102, 287, F25, 2, 61) (dual of [(287, 2), 472, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,512P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OOA(2596, 287, F25, 2, 55) (dual of [(287, 2), 478, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,518P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288 (see above)
- linear OOA(255, 5, F25, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(255, 25, F25, 2, 5) (dual of [(25, 2), 45, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;45,25) [i]
- discarding factors / shortening the dual code based on linear OOA(255, 25, F25, 2, 5) (dual of [(25, 2), 45, 6]-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 (46, 107, 289)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |