Information on Result #671847

Linear OA(25638, 66307, F256, 14) (dual of [66307, 66269, 15]-code), using (u, u+v)-construction based on
  1. linear OA(25611, 771, F256, 7) (dual of [771, 760, 8]-code), using
    • the BCH-code C(I) with length 771 | 2562−1, defining interval I = {256,342,428,…,1}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
    • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(25638, 13261, F256, 5, 14) (dual of [(13261, 5), 66267, 15]-NRT-code) [i]OOA Folding
2Linear OOA(25638, 9472, F256, 14, 14) (dual of [(9472, 14), 132570, 15]-NRT-code) [i]OA Folding and Stacking