Information on Result #685146
Linear OA(780, 351, F7, 31) (dual of [351, 271, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,14]) based on
- linear OA(779, 344, F7, 31) (dual of [344, 265, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(773, 344, F7, 29) (dual of [344, 271, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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 OOA(780, 175, F7, 2, 31) (dual of [(175, 2), 270, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(780, 117, F7, 3, 31) (dual of [(117, 3), 271, 32]-NRT-code) | [i] | ||