Information on Result #669692

Linear OA(6488, 4552, F64, 31) (dual of [4552, 4464, 32]-code), using (u, u+v)-construction based on
  1. linear OA(6427, 455, F64, 15) (dual of [455, 428, 16]-code), using
    • the BCH-code C(I) with length 455 | 642−1, defining interval I = {1,38,75,…,64}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(6488, 2276, F64, 2, 31) (dual of [(2276, 2), 4464, 32]-NRT-code) [i]OOA Folding
2Linear OOA(6488, 1517, F64, 3, 31) (dual of [(1517, 3), 4463, 32]-NRT-code) [i]