Information on Result #690430
Linear OA(9120, 767, F9, 40) (dual of [767, 647, 41]-code), using construction X applied to Ce(39) ⊂ Ce(30) based on
- linear OA(9106, 729, F9, 40) (dual of [729, 623, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(982, 729, F9, 31) (dual of [729, 647, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.