Information on Result #669915

Linear OA(6447, 4552, F64, 17) (dual of [4552, 4505, 18]-code), using (u, u+v)-construction based on
  1. linear OA(6414, 455, F64, 8) (dual of [455, 441, 9]-code), using
    • the BCH-code C(I) with length 455 | 642−1, defining interval I = {1,10,19,…,64}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(6433, 4097, F64, 17) (dual of [4097, 4064, 18]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(6447, 2276, F64, 2, 17) (dual of [(2276, 2), 4505, 18]-NRT-code) [i]OOA Folding
2Linear OOA(6447, 1517, F64, 3, 17) (dual of [(1517, 3), 4504, 18]-NRT-code) [i]