Information on Result #932873
Linear OOA(25104, 291, F25, 2, 59) (dual of [(291, 2), 478, 60]-NRT-code), using construction X applied to AG(2;F,514P) ⊂ AG(2;F,519P) based on
- linear OOA(25100, 287, F25, 2, 59) (dual of [(287, 2), 474, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,514P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OOA(2595, 287, F25, 2, 54) (dual of [(287, 2), 479, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,519P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288 (see above)
- linear OOA(254, 4, F25, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;46,25) [i]
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-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 (45, 104, 291)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |