Information on Result #1473813
Linear OOA(2771, 213, F27, 2, 41) (dual of [(213, 2), 355, 42]-NRT-code), using construction X applied to AG(2;F,372P) ⊂ AG(2;F,379P) based on
- linear OOA(2765, 207, F27, 2, 41) (dual of [(207, 2), 349, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,372P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208, using
- linear OOA(2758, 207, F27, 2, 34) (dual of [(207, 2), 356, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,379P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208 (see above)
- linear OOA(276, 6, F27, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(276, 27, F27, 2, 6) (dual of [(27, 2), 48, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;48,27) [i]
- discarding factors / shortening the dual code based on linear OOA(276, 27, F27, 2, 6) (dual of [(27, 2), 48, 7]-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 (30, 71, 211)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |