Information on Result #619292

Linear OA(8136, 6570, F81, 15) (dual of [6570, 6534, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
  1. linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. linear OA(8128, 6562, F81, 7) (dual of [6562, 6534, 8]-code), using the narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(817, 8, F81, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,81)), 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.