Information on Result #925200
Linear OOA(951, 42, F9, 2, 40) (dual of [(42, 2), 33, 41]-NRT-code), using construction X applied to AG(2;F,37P) ⊂ AG(2;F,41P) based on
- linear OOA(948, 39, F9, 2, 40) (dual of [(39, 2), 30, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(944, 39, F9, 2, 36) (dual of [(39, 2), 34, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,41P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (see above)
- linear OOA(93, 3, F9, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;15,9) [i]
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-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 | Linear OOA(3186, 126, F3, 2, 81) (dual of [(126, 2), 66, 82]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |