Information on Result #861634
Linear OOA(2577, 7830, F25, 2, 23) (dual of [(7830, 2), 15583, 24]-NRT-code), using OOA 2-folding based on linear OA(2577, 15660, F25, 23) (dual of [15660, 15583, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,7]) [i] based on
- linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.