Information on Result #666315

Linear OA(2584, 390729, F25, 18) (dual of [390729, 390645, 19]-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(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(2584, 43414, F25, 18, 18) (dual of [(43414, 18), 781368, 19]-NRT-code) [i]OA Folding and Stacking