Information on Result #649725
Linear OA(27110, 138, F27, 77) (dual of [138, 28, 78]-code), using construction X applied to AG(F,15P) ⊂ AG(F,37P) based on
- linear OA(2787, 93, F27, 77) (dual of [93, 6, 78]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2765, 93, F27, 55) (dual of [93, 28, 56]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2723, 45, F27, 21) (dual of [45, 22, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2723, 48, F27, 21) (dual of [48, 25, 22]-code), using
- extended algebraic-geometric code AGe(F,26P) [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(2723, 48, F27, 21) (dual of [48, 25, 22]-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(27110, 69, F27, 2, 77) (dual of [(69, 2), 28, 78]-NRT-code) | [i] | OOA Folding | |