Information on Result #1821989
OA(27106, 19836, S27, 29), using (u, u+v)-construction based on
- OA(2724, 150, S27, 14), using
- discarding parts of the base [i] based on linear OA(8118, 150, F81, 14) (dual of [150, 132, 15]-code), using
- extended algebraic-geometric code AGe(F,135P) [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- discarding parts of the base [i] based on linear OA(8118, 150, F81, 14) (dual of [150, 132, 15]-code), using
- linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
Mode: Constructive.
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 | OA(27107, 19837, S27, 29) | [i] | Code Embedding in Larger Space | |