Information on Result #686012
Linear OA(747, 73, F7, 24) (dual of [73, 26, 25]-code), using construction X applied to C([0,21]) ⊂ C([0,14]) based on
- 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(731, 57, F7, 16) (dual of [57, 26, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,14], and minimum distance d ≥ |{−1,0,…,14}|+1 = 17 (BCH-bound) [i]
- linear OA(79, 16, F7, 7) (dual of [16, 7, 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
None.