Information on Result #686011
Linear OA(756, 75, F7, 32) (dual of [75, 19, 33]-code), using construction X applied to C([0,28]) ⊂ C([0,21]) based on
- linear OA(747, 57, F7, 32) (dual of [57, 10, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,28], and minimum distance d ≥ |{−3,−2,…,28}|+1 = 33 (BCH-bound) [i]
- linear OA(738, 57, F7, 24) (dual of [57, 19, 25]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,21], and minimum distance d ≥ |{−2,−1,…,21}|+1 = 25 (BCH-bound) [i]
- linear OA(79, 18, F7, 7) (dual of [18, 9, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(79, 19, F7, 7) (dual of [19, 10, 8]-code), using
- 1 times truncation [i] based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- extended quadratic residue code Qe(20,7) [i]
- 1 times truncation [i] based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(79, 19, F7, 7) (dual of [19, 10, 8]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(756, 25, F7, 3, 32) (dual of [(25, 3), 19, 33]-NRT-code) | [i] | OOA Folding | |