Information on Result #649745
Linear OA(27110, 140, F27, 76) (dual of [140, 30, 77]-code), using construction X applied to AG(F,16P) ⊂ AG(F,39P) based on
- linear OA(2786, 93, F27, 76) (dual of [93, 7, 77]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2763, 93, F27, 53) (dual of [93, 30, 54]-code), using algebraic-geometric code AG(F,39P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (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(27110, 70, F27, 2, 76) (dual of [(70, 2), 30, 77]-NRT-code) | [i] | OOA Folding | |