Information on Result #685998
Linear OA(772, 79, F7, 53) (dual of [79, 7, 54]-code), using construction X applied to C([0,37]) ⊂ C([0,29]) based on
- linear OA(756, 57, F7, 56) (dual of [57, 1, 57]-code or 57-arc in PG(55,7)), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,37], and minimum distance d ≥ |{−8,3,14,…,27}|+1 = 57 (BCH-bound) [i]
- linear OA(750, 57, F7, 40) (dual of [57, 7, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,29], and minimum distance d ≥ |{−10,−9,…,29}|+1 = 41 (BCH-bound) [i]
- linear OA(716, 22, F7, 12) (dual of [22, 6, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- extended quadratic residue code Qe(32,7) [i]
- discarding factors / shortening the dual code based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-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.