Information on Result #685898
Linear OA(755, 71, F7, 33) (dual of [71, 16, 34]-code), using construction X applied to C([1,67]) ⊂ C([1,47]) based on
- linear OA(742, 48, F7, 33) (dual of [48, 6, 34]-code), using contraction [i] based on linear OA(790, 96, F7, 67) (dual of [96, 6, 68]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(732, 48, F7, 23) (dual of [48, 16, 24]-code), using contraction [i] based on linear OA(780, 96, F7, 47) (dual of [96, 16, 48]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [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.