Information on Result #932710
Linear OOA(2587, 210, F25, 2, 51) (dual of [(210, 2), 333, 52]-NRT-code), using construction X applied to AG(2;F,346P) ⊂ AG(2;F,358P) based on
- linear OOA(2576, 199, F25, 2, 51) (dual of [(199, 2), 322, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,346P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2564, 199, F25, 2, 39) (dual of [(199, 2), 334, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,358P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(2511, 11, F25, 2, 11) (dual of [(11, 2), 11, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2511, 25, F25, 2, 11) (dual of [(25, 2), 39, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;39,25) [i]
- discarding factors / shortening the dual code based on linear OOA(2511, 25, F25, 2, 11) (dual of [(25, 2), 39, 12]-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 (36, 87, 210)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |