Information on Result #690035
Linear OA(9129, 786, F9, 40) (dual of [786, 657, 41]-code), using construction X applied to C([0,20]) ⊂ C([0,13]) based on
- linear OA(9109, 730, F9, 41) (dual of [730, 621, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(920, 56, F9, 12) (dual of [56, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(920, 80, F9, 12) (dual of [80, 60, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(920, 80, F9, 12) (dual of [80, 60, 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.
Other Results with Identical Parameters
None.
Depending Results
None.