Information on Result #649619
Linear OA(2791, 129, F27, 63) (dual of [129, 38, 64]-code), using construction X applied to AG(F,29P) ⊂ AG(F,47P) based on
- linear OA(2773, 93, F27, 63) (dual of [93, 20, 64]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2755, 93, F27, 45) (dual of [93, 38, 46]-code), using algebraic-geometric code AG(F,47P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2718, 36, F27, 17) (dual of [36, 18, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2718, 38, F27, 17) (dual of [38, 20, 18]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2718, 38, F27, 17) (dual of [38, 20, 18]-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(2791, 64, F27, 2, 63) (dual of [(64, 2), 37, 64]-NRT-code) | [i] | OOA Folding | |