Information on Result #679539

Linear OA(4242, 4162, F4, 49) (dual of [4162, 3920, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,18]) based on
  1. linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(4169, 4097, F4, 37) (dual of [4097, 3928, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  3. linear OA(425, 65, F4, 11) (dual of [65, 40, 12]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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

None.