Information on Result #680430

Linear OA(436, 1041, F4, 9) (dual of [1041, 1005, 10]-code), using construction XX applied to C([0,4]) ⊂ C([0,2]) ⊂ C([1,2]) based on
  1. linear OA(431, 1025, F4, 9) (dual of [1025, 994, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OA(421, 1025, F4, 5) (dual of [1025, 1004, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,2], and minimum distance d ≥ |{−4,−2,0,2,4}|+1 = 6 (BCH-bound) [i]
  3. linear OA(420, 1025, F4, 4) (dual of [1025, 1005, 5]-code), using the narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [1,2], and minimum distance d ≥ |{512,769,1}| + |{0,512}| = 5 (simple Roos-bound) [i]
  4. linear OA(44, 15, F4, 3) (dual of [15, 11, 4]-code or 15-cap in PG(3,4)), using
  5. linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), 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.