Information on Result #920851
Linear OOA(597, 86, F5, 2, 50) (dual of [(86, 2), 75, 51]-NRT-code), using construction X applied to AG(2;F,91P) ⊂ AG(2;F,105P) based on
- linear OOA(581, 71, F5, 2, 50) (dual of [(71, 2), 61, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,91P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(567, 71, F5, 2, 36) (dual of [(71, 2), 75, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(516, 15, F5, 2, 13) (dual of [(15, 2), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(516, 16, F5, 2, 13) (dual of [(16, 2), 16, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(516, 16, F5, 2, 13) (dual of [(16, 2), 16, 14]-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(597, 43, F5, 3, 50) (dual of [(43, 3), 32, 51]-NRT-code) | [i] | OOA Folding | |