Information on Result #641461

Linear OA(879, 83, F8, 67) (dual of [83, 4, 68]-code), using juxtaposition based on
  1. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
  2. linear OA(870, 74, F8, 61) (dual of [74, 4, 62]-code), using
    • juxtaposition [i] based on
      1. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)) (see above)
      2. linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using
        • projective code from ovoid in PG(3, 8) [i]
        • 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]

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.