Information on Result #666291

Linear OA(2588, 390730, F25, 19) (dual of [390730, 390642, 20]-code), using (u, u+v)-construction based on
  1. linear OA(2515, 104, F25, 9) (dual of [104, 89, 10]-code), using
    • the BCH-code C(I) with length 104 | 252−1, defining interval I = {1,4,7,…,25}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(2573, 390626, F25, 19) (dual of [390626, 390553, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2588, 43414, F25, 19, 19) (dual of [(43414, 19), 824778, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row