Information on Result #680172

Linear OA(4175, 1042, F4, 45) (dual of [1042, 867, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,20]) based on
  1. linear OA(4171, 1025, F4, 45) (dual of [1025, 854, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  2. 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]
  3. linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using

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.