Information on Result #696464
Linear OA(2724, 107, F27, 14) (dual of [107, 83, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(2724, 105, F27, 14) (dual of [105, 81, 15]-code), using an extension Ce(13) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(270, 2, F27, 0) (dual of [2, 2, 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
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 OA(2778, 837, F27, 29) (dual of [837, 759, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27106, 19793, F27, 29) (dual of [19793, 19687, 30]-code) | [i] | ||
| 3 | Linear OA(27103, 19790, F27, 28) (dual of [19790, 19687, 29]-code) | [i] | ||
| 4 | Linear OA(27104, 19794, F27, 28) (dual of [19794, 19690, 29]-code) | [i] | ||
| 5 | Linear OOA(2724, 107, F27, 2, 14) (dual of [(107, 2), 190, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (10, 24, 107)-net over F27 | [i] | ||
| 7 | Linear OOA(2724, 53, F27, 2, 14) (dual of [(53, 2), 82, 15]-NRT-code) | [i] | OOA Folding | |