Information on Result #1030851
Linear OOA(3126, 49, F3, 3, 79) (dual of [(49, 3), 21, 80]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,35P) based on
- linear OOA(380, 27, F3, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(360, 27, F3, 3, 45) (dual of [(27, 3), 21, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,35P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(346, 22, F3, 3, 33) (dual of [(22, 3), 20, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(346, 24, F3, 3, 33) (dual of [(24, 3), 26, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(346, 24, F3, 3, 33) (dual of [(24, 3), 26, 34]-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(3126, 49, F3, 3, 78) (dual of [(49, 3), 21, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |