Information on Result #666097

Linear OA(2596, 15781, F25, 26) (dual of [15781, 15685, 27]-code), using (u, u+v)-construction based on
  1. linear OA(2523, 156, F25, 13) (dual of [156, 133, 14]-code), using
    • the BCH-code C(I) with length 156 | 252−1, defining interval I = {1,42,83,…,25}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
    • an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(2596, 7890, F25, 2, 26) (dual of [(7890, 2), 15684, 27]-NRT-code) [i]OOA Folding
2Linear OOA(2596, 1213, F25, 26, 26) (dual of [(1213, 26), 31442, 27]-NRT-code) [i]OA Folding and Stacking