Information on Result #641415

Linear OA(881, 86, F8, 64) (dual of [86, 5, 65]-code), using juxtaposition based on
  1. linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
  2. linear OA(867, 72, F8, 55) (dual of [72, 5, 56]-code), using
    • construction X applied to C([0,27]) ⊂ C([1,27]) [i] based on
      1. linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
      2. linear OA(860, 65, F8, 48) (dual of [65, 5, 49]-code), using the narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [1,27], and minimum distance d ≥ |{−8,20,48,…,8}|+1 = 49 (BCH-bound) [i]
      3. linear OA(86, 7, F8, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,8)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.