Information on Result #649741
Linear OA(2794, 138, F27, 61) (dual of [138, 44, 62]-code), using construction X applied to AG(F,31P) ⊂ AG(F,53P) based on
- linear OA(2771, 93, F27, 61) (dual of [93, 22, 62]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2749, 93, F27, 39) (dual of [93, 44, 40]-code), using algebraic-geometric code AG(F,53P) [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(2794, 69, F27, 2, 61) (dual of [(69, 2), 44, 62]-NRT-code) | [i] | OOA Folding | |