Information on Result #690429
Linear OA(9123, 767, F9, 41) (dual of [767, 644, 42]-code), using construction X applied to Ce(40) ⊂ Ce(31) based on
- linear OA(9109, 729, F9, 41) (dual of [729, 620, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(985, 729, F9, 32) (dual of [729, 644, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(914, 38, F9, 8) (dual of [38, 24, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 40, F9, 8) (dual of [40, 26, 9]-code), using
- the cyclic code C(A) with length 40 | 92−1, defining set A = {0,1,2,3,4,5,6,31}, and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(914, 40, F9, 8) (dual of [40, 26, 9]-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.