Information on Result #725070
Linear OA(279, 58, F27, 6) (dual of [58, 49, 7]-code), using construction X applied to C([25,30]) ⊂ C([26,30]) based on
- linear OA(279, 56, F27, 6) (dual of [56, 47, 7]-code), using the BCH-code C(I) with length 56 | 272−1, defining interval I = {25,26,…,30}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(277, 56, F27, 5) (dual of [56, 49, 6]-code), using the BCH-code C(I) with length 56 | 272−1, defining interval I = {26,27,28,29,30}, and designed minimum distance d ≥ |I|+1 = 6 [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(2734, 790, F27, 13) (dual of [790, 756, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2746, 19744, F27, 13) (dual of [19744, 19698, 14]-code) | [i] | ||
| 3 | Linear OA(2758, 531503, F27, 13) (dual of [531503, 531445, 14]-code) | [i] | ||
| 4 | Linear OA(2732, 790, F27, 12) (dual of [790, 758, 13]-code) | [i] | ||
| 5 | Linear OA(2743, 19744, F27, 12) (dual of [19744, 19701, 13]-code) | [i] | ||
| 6 | Linear OA(2754, 531503, F27, 12) (dual of [531503, 531449, 13]-code) | [i] | ||
| 7 | Linear OOA(279, 58, F27, 2, 6) (dual of [(58, 2), 107, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (3, 9, 58)-net over F27 | [i] | ||