Information on Result #666240

Linear OA(2599, 390834, F25, 21) (dual of [390834, 390735, 22]-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(2581, 390626, F25, 21) (dual of [390626, 390545, 22]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2599, 39083, F25, 21, 21) (dual of [(39083, 21), 820644, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row