Information on Result #704094
Linear OA(3231, 778, F3, 55) (dual of [778, 547, 56]-code), using construction X applied to C([337,391]) ⊂ C([346,391]) based on
- linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3181, 728, F3, 46) (dual of [728, 547, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {346,347,…,391}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(320, 50, F3, 8) (dual of [50, 30, 9]-code), using
- (u, u+v)-construction [i] based on
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(313, 25, F3, 8) (dual of [25, 12, 9]-code), using
- 1 times code embedding in larger space [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times code embedding in larger space [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- (u, u+v)-construction [i] based on
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.