Information on Result #693355
Linear OA(25107, 15660, F25, 33) (dual of [15660, 15553, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
- linear OA(2597, 15626, F25, 33) (dual of [15626, 15529, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2573, 15626, F25, 25) (dual of [15626, 15553, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2510, 34, F25, 7) (dual of [34, 24, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2510, 49, F25, 7) (dual of [49, 39, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 48 | 252−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2510, 49, F25, 7) (dual of [49, 39, 8]-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.