Information on Result #666258

Linear OA(2576, 15833, F25, 20) (dual of [15833, 15757, 21]-code), using (u, u+v)-construction based on
  1. linear OA(2518, 208, F25, 10) (dual of [208, 190, 11]-code), using
    • the BCH-code C(I) with length 208 | 252−1, defining interval I = {1,4,7,…,28}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using
    • an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(2576, 1583, F25, 20, 20) (dual of [(1583, 20), 31584, 21]-NRT-code) [i]OA Folding and Stacking