Information on Result #920511
Linear OOA(589, 80, F5, 2, 49) (dual of [(80, 2), 71, 50]-NRT-code), using construction X applied to AG(2;F,92P) ⊂ AG(2;F,101P) based on
- linear OOA(580, 71, F5, 2, 49) (dual of [(71, 2), 62, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(571, 71, F5, 2, 40) (dual of [(71, 2), 71, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(59, 9, F5, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(59, 10, F5, 2, 8) (dual of [(10, 2), 11, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- discarding factors / shortening the dual code based on linear OOA(59, 10, F5, 2, 8) (dual of [(10, 2), 11, 9]-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(589, 40, F5, 3, 49) (dual of [(40, 3), 31, 50]-NRT-code) | [i] | OOA Folding | |