Information on Result #679007

Linear OA(4240, 16470, F4, 41) (dual of [16470, 16230, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,14]) based on
  1. linear OA(4211, 16385, F4, 41) (dual of [16385, 16174, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  2. linear OA(4155, 16385, F4, 29) (dual of [16385, 16230, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  3. linear OA(429, 85, F4, 11) (dual of [85, 56, 12]-code), using
    • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−5,−4,…,5}, and designed minimum distance d ≥ |I|+1 = 12 [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.