Information on Result #686005
Linear OA(745, 67, F7, 24) (dual of [67, 22, 25]-code), using construction X applied to C([0,21]) ⊂ C([0,15]) 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(734, 57, F7, 17) (dual of [57, 23, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,15], and minimum distance d ≥ |{−1,0,…,15}|+1 = 18 (BCH-bound) [i]
- linear OA(77, 10, F7, 6) (dual of [10, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 14, F7, 6) (dual of [14, 7, 7]-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.