Information on Result #671800

Linear OA(25654, 131074, F256, 19) (dual of [131074, 131020, 20]-code), using (u, u+v)-construction based on
  1. linear OA(25617, 65537, F256, 9) (dual of [65537, 65520, 10]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, 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(25654, 14563, F256, 19, 19) (dual of [(14563, 19), 276643, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row