Information on Result #671754

Linear OA(25666, 131074, F256, 23) (dual of [131074, 131008, 24]-code), using (u, u+v)-construction based on
  1. linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  2. linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(25666, 11915, F256, 23, 23) (dual of [(11915, 23), 273979, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row