Information on Result #733260
Linear OA(27101, 19792, F27, 27) (dual of [19792, 19691, 28]-code), using (u, u+v)-construction based on
- linear OA(2722, 106, F27, 13) (dual of [106, 84, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2722, 105, F27, 13) (dual of [105, 83, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2721, 105, F27, 12) (dual of [105, 84, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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(12) ⊂ Ce(11) [i] based on
- linear OA(2779, 19686, F27, 27) (dual of [19686, 19607, 28]-code), using
- 1 times truncation [i] based on linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- 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(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- 1 times truncation [i] based on linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-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(27101, 9896, F27, 2, 27) (dual of [(9896, 2), 19691, 28]-NRT-code) | [i] | OOA Folding | |