Information on Result #666369

Linear OA(2554, 15704, F25, 15) (dual of [15704, 15650, 16]-code), using (u, u+v)-construction based on
  1. linear OA(2511, 78, F25, 7) (dual of [78, 67, 8]-code), using
    • the BCH-code C(I) with length 78 | 252−1, defining interval I = {1,18,35,…,25}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. 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]

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(2554, 2243, F25, 15, 15) (dual of [(2243, 15), 33591, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row