Information on Result #666171

Linear OA(2587, 15834, F25, 23) (dual of [15834, 15747, 24]-code), using (u, u+v)-construction based on
  1. linear OA(2520, 208, F25, 11) (dual of [208, 188, 12]-code), using
    • the BCH-code C(I) with length 208 | 252−1, defining interval I = {1,4,7,…,31}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. 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]

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2587, 1439, F25, 23, 23) (dual of [(1439, 23), 33010, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row