Information on Result #680348

Linear OA(4176, 1090, F4, 41) (dual of [1090, 914, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,14]) based on
  1. linear OA(4151, 1025, F4, 41) (dual of [1025, 874, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  2. linear OA(4111, 1025, F4, 29) (dual of [1025, 914, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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.