Information on Result #1473895
Linear OOA(27107, 282, F27, 2, 62) (dual of [(282, 2), 457, 63]-NRT-code), using construction X applied to AG(2;F,495P) ⊂ AG(2;F,499P) based on
- linear OOA(27104, 279, F27, 2, 62) (dual of [(279, 2), 454, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,495P) [i] based on function field F/F27 with g(F) = 42 and N(F) ≥ 280, using
- linear OOA(27100, 279, F27, 2, 58) (dual of [(279, 2), 458, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,499P) [i] based on function field F/F27 with g(F) = 42 and N(F) ≥ 280 (see above)
- linear OOA(273, 3, F27, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(273, 27, F27, 2, 3) (dual of [(27, 2), 51, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;51,27) [i]
- discarding factors / shortening the dual code based on linear OOA(273, 27, F27, 2, 3) (dual of [(27, 2), 51, 4]-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 | Digital (45, 107, 281)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |