Information on Result #649902
Linear OA(27107, 142, F27, 72) (dual of [142, 35, 73]-code), using construction X applied to AG(F,22P) ⊂ AG(F,45P) based on
- linear OA(2783, 95, F27, 72) (dual of [95, 12, 73]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- linear OA(2760, 95, F27, 49) (dual of [95, 35, 50]-code), using algebraic-geometric code AG(F,45P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96 (see above)
- linear OA(2724, 47, F27, 22) (dual of [47, 23, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2724, 48, F27, 22) (dual of [48, 24, 23]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2724, 48, F27, 22) (dual of [48, 24, 23]-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(27107, 71, F27, 2, 72) (dual of [(71, 2), 35, 73]-NRT-code) | [i] | OOA Folding | |