Information on Result #662499

Linear OA(4124, 65552, F4, 19) (dual of [65552, 65428, 20]-code), using (u, u+v)-construction based on
  1. linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
  2. linear OA(4113, 65537, F4, 19) (dual of [65537, 65424, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4124, 54300, F4, 2, 19) (dual of [(54300, 2), 108476, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4124, 54300, F4, 3, 19) (dual of [(54300, 3), 162776, 20]-NRT-code) [i]
3Digital (105, 124, 54300)-net over F4 [i]