Information on Result #685183
Linear OA(798, 369, F7, 35) (dual of [369, 271, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,14]) based on
- linear OA(791, 344, F7, 35) (dual of [344, 253, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(77, 25, F7, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-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(798, 184, F7, 2, 35) (dual of [(184, 2), 270, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(798, 123, F7, 3, 35) (dual of [(123, 3), 271, 36]-NRT-code) | [i] | ||