Information on Result #1091086
Linear OOA(3127, 52, F3, 4, 72) (dual of [(52, 4), 81, 73]-NRT-code), using construction X applied to AG(4;F,115P) ⊂ AG(4;F,125P) based on
- linear OOA(3117, 47, F3, 4, 72) (dual of [(47, 4), 71, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,115P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3107, 47, F3, 4, 62) (dual of [(47, 4), 81, 63]-NRT-code), using algebraic-geometric NRT-code AG(4;F,125P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (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: 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(3127, 52, F3, 4, 71) (dual of [(52, 4), 81, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |