Information on Result #690044
Linear OA(9145, 796, F9, 44) (dual of [796, 651, 45]-code), using construction X applied to C([0,22]) ⊂ C([0,14]) based on
- linear OA(9121, 730, F9, 45) (dual of [730, 609, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(979, 730, F9, 29) (dual of [730, 651, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(924, 66, F9, 14) (dual of [66, 42, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(924, 80, F9, 14) (dual of [80, 56, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(924, 80, F9, 14) (dual of [80, 56, 15]-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.