Information on Result #669954

Linear OA(6438, 4291, F64, 14) (dual of [4291, 4253, 15]-code), using (u, u+v)-construction based on
  1. linear OA(6411, 195, F64, 7) (dual of [195, 184, 8]-code), using
    • the BCH-code C(I) with length 195 | 642−1, defining interval I = {64,86,108,…,1}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using
    • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, 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(6438, 613, F64, 14, 14) (dual of [(613, 14), 8544, 15]-NRT-code) [i]OA Folding and Stacking