Information on Result #613036

Linear OA(4136, 1041, F4, 33) (dual of [1041, 905, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
  1. linear OA(4121, 1025, F4, 33) (dual of [1025, 904, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4120, 1025, F4, 17) (dual of [1025, 905, 18]-code), using the narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [1,16], and minimum distance d ≥ |{1,64}| + |{0,64,128,…,960}| = 18 (simple Roos-bound) [i]
  3. linear OA(415, 16, F4, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,4)), 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.