Information on Result #685825
Linear OA(739, 53, F7, 27) (dual of [53, 14, 28]-code), using construction X applied to C([0,53]) ⊂ C([0,49]) based on
- linear OA(738, 48, F7, 27) (dual of [48, 10, 28]-code), using contraction [i] based on linear OA(786, 96, F7, 55) (dual of [96, 10, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,53], and minimum distance d ≥ |{−1,0,…,53}|+1 = 56 (BCH-bound) [i]
- linear OA(734, 48, F7, 25) (dual of [48, 14, 26]-code), using contraction [i] based on linear OA(782, 96, F7, 51) (dual of [96, 14, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,49], and minimum distance d ≥ |{−1,0,…,49}|+1 = 52 (BCH-bound) [i]
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.