Information on Result #1569918
Linear OOA(3183, 74, F3, 3, 116) (dual of [(74, 3), 39, 117]-NRT-code), using construction X applied to AG(3;F,72P) ⊂ AG(3;F,87P) based on
- linear OOA(3165, 63, F3, 3, 116) (dual of [(63, 3), 24, 117]-NRT-code), using algebraic-geometric NRT-code AG(3;F,72P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- linear OOA(3150, 63, F3, 3, 101) (dual of [(63, 3), 39, 102]-NRT-code), using algebraic-geometric NRT-code AG(3;F,87P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
- linear OOA(318, 11, F3, 3, 14) (dual of [(11, 3), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(318, 12, F3, 3, 14) (dual of [(12, 3), 18, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(318, 12, F3, 3, 14) (dual of [(12, 3), 18, 15]-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 | Linear OOA(3183, 74, F3, 3, 115) (dual of [(74, 3), 39, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |