Information on Result #1031568
Linear OOA(3113, 52, F3, 3, 60) (dual of [(52, 3), 43, 61]-NRT-code), using construction X applied to AG(3;F,80P) ⊂ AG(3;F,88P) based on
- linear OOA(3105, 47, F3, 3, 60) (dual of [(47, 3), 36, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,80P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(397, 47, F3, 3, 52) (dual of [(47, 3), 44, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,88P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(38, 5, F3, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(38, 7, F3, 3, 7) (dual of [(7, 3), 13, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [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(38, 7, F3, 3, 7) (dual of [(7, 3), 13, 8]-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(3113, 26, F3, 5, 60) (dual of [(26, 5), 17, 61]-NRT-code) | [i] | OOA Folding | |