Information on Result #1619011
Linear OOA(3221, 100, F3, 4, 122) (dual of [(100, 4), 179, 123]-NRT-code), using construction X applied to AG(4;F,257P) ⊂ AG(4;F,267P) based on
- linear OOA(3211, 95, F3, 4, 122) (dual of [(95, 4), 169, 123]-NRT-code), using algebraic-geometric NRT-code AG(4;F,257P) [i] based on function field F/F3 with g(F) = 89 and N(F) ≥ 96, using
- linear OOA(3201, 95, F3, 4, 112) (dual of [(95, 4), 179, 113]-NRT-code), using algebraic-geometric NRT-code AG(4;F,267P) [i] based on function field F/F3 with g(F) = 89 and N(F) ≥ 96 (see above)
- linear OOA(310, 5, F3, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(310, 7, F3, 4, 9) (dual of [(7, 4), 18, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,18P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(310, 7, F3, 4, 9) (dual of [(7, 4), 18, 10]-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(3221, 100, F3, 4, 121) (dual of [(100, 4), 179, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |