Information on Result #671886

Linear OA(25617, 131074, F256, 7) (dual of [131074, 131057, 8]-code), using (u, u+v)-construction based on
  1. linear OA(2564, 65537, F256, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
  2. linear OA(25613, 65537, F256, 7) (dual of [65537, 65524, 8]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(25617, 65537, F256, 2, 7) (dual of [(65537, 2), 131057, 8]-NRT-code) [i]OOA Folding
2Linear OOA(25617, 43691, F256, 3, 7) (dual of [(43691, 3), 131056, 8]-NRT-code) [i]