Information on Result #669948

Linear OA(6455, 262461, F64, 15) (dual of [262461, 262406, 16]-code), using (u, u+v)-construction based on
  1. linear OA(6412, 316, F64, 7) (dual of [316, 304, 8]-code), using
    • an extension Ce(6) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(6455, 37494, F64, 15, 15) (dual of [(37494, 15), 562355, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row