Information on Result #669959

Linear OA(6451, 262339, F64, 14) (dual of [262339, 262288, 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(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using
    • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, 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(6451, 37477, F64, 14, 14) (dual of [(37477, 14), 524627, 15]-NRT-code) [i]OA Folding and Stacking