Information on Result #1569915
Linear OOA(3186, 74, F3, 3, 119) (dual of [(74, 3), 36, 120]-NRT-code), using construction X applied to AG(3;F,69P) ⊂ AG(3;F,84P) based on
- linear OOA(3168, 63, F3, 3, 119) (dual of [(63, 3), 21, 120]-NRT-code), using algebraic-geometric NRT-code AG(3;F,69P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- linear OOA(3153, 63, F3, 3, 104) (dual of [(63, 3), 36, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,84P) [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(3186, 74, F3, 3, 118) (dual of [(74, 3), 36, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |