Information on Result #685850
Linear OA(756, 71, F7, 34) (dual of [71, 15, 35]-code), using construction X applied to C([0,67]) ⊂ C([0,47]) based on
- linear OA(743, 48, F7, 34) (dual of [48, 5, 35]-code), using contraction [i] based on linear OA(791, 96, F7, 69) (dual of [96, 5, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,67], and minimum distance d ≥ |{−1,0,…,67}|+1 = 70 (BCH-bound) [i]
- linear OA(733, 48, F7, 24) (dual of [48, 15, 25]-code), using contraction [i] based on linear OA(781, 96, F7, 49) (dual of [96, 15, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,47], and minimum distance d ≥ |{−1,0,…,47}|+1 = 50 (BCH-bound) [i]
- linear OA(713, 23, F7, 9) (dual of [23, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(713, 29, F7, 9) (dual of [29, 16, 10]-code), using
- 3 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- extended quadratic residue code Qe(32,7) [i]
- 3 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(713, 29, F7, 9) (dual of [29, 16, 10]-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.