Information on Result #666376

Linear OA(2570, 391252, F25, 15) (dual of [391252, 391182, 16]-code), using (u, u+v)-construction based on
  1. linear OA(2513, 626, F25, 7) (dual of [626, 613, 8]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OA(2557, 390626, F25, 15) (dual of [390626, 390569, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, 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(2570, 55893, F25, 15, 15) (dual of [(55893, 15), 838325, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row