Information on Result #696472
Linear OA(2710, 107, F27, 6) (dual of [107, 97, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(2710, 105, F27, 6) (dual of [105, 95, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(278, 105, F27, 5) (dual of [105, 97, 6]-code), using an extension Ce(4) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(2735, 839, F27, 13) (dual of [839, 804, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2747, 19793, F27, 13) (dual of [19793, 19746, 14]-code) | [i] | ||
| 3 | Linear OA(2759, 531552, F27, 13) (dual of [531552, 531493, 14]-code) | [i] | ||
| 4 | Linear OA(2744, 19793, F27, 12) (dual of [19793, 19749, 13]-code) | [i] | ||
| 5 | Linear OA(2755, 531552, F27, 12) (dual of [531552, 531497, 13]-code) | [i] | ||
| 6 | Linear OOA(2710, 107, F27, 2, 6) (dual of [(107, 2), 204, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (4, 10, 107)-net over F27 | [i] | ||
| 8 | Linear OOA(2710, 53, F27, 2, 6) (dual of [(53, 2), 96, 7]-NRT-code) | [i] | OOA Folding | |