Information on Result #687063

Linear OA(8157, 4117, F8, 43) (dual of [4117, 3960, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,19]) based on
  1. linear OA(8153, 4097, F8, 43) (dual of [4097, 3944, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(8137, 4097, F8, 39) (dual of [4097, 3960, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  3. linear OA(84, 20, F8, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,8)), 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.