Information on Result #669961

Linear OA(6431, 4162, F64, 13) (dual of [4162, 4131, 14]-code), using (u, u+v)-construction based on
  1. linear OA(646, 65, F64, 6) (dual of [65, 59, 7]-code or 65-arc in PG(5,64)), using
  2. linear OA(6425, 4097, F64, 13) (dual of [4097, 4072, 14]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(6431, 2081, F64, 2, 13) (dual of [(2081, 2), 4131, 14]-NRT-code) [i]OOA Folding
2Linear OOA(6431, 1387, F64, 3, 13) (dual of [(1387, 3), 4130, 14]-NRT-code) [i]