Information on Result #614640
Linear OA(767, 77, F7, 39) (dual of [77, 10, 40]-code), using construction X applied to C([0,37]) ⊂ C([1,37]) based on
- linear OA(766, 75, F7, 39) (dual of [75, 9, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 75 | 74−1, defining interval I = [0,37], and minimum distance d ≥ |{−1,0,…,37}|+1 = 40 (BCH-bound) [i]
- linear OA(765, 75, F7, 37) (dual of [75, 10, 38]-code), using the narrow-sense BCH-code C(I) with length 75 | 74−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(71, 2, F7, 1) (dual of [2, 1, 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.