Information on Result #687658

Linear OA(8160, 523, F8, 59) (dual of [523, 363, 60]-code), using construction X applied to C([0,29]) ⊂ C([0,27]) based on
  1. linear OA(8157, 513, F8, 59) (dual of [513, 356, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
  2. linear OA(8145, 513, F8, 55) (dual of [513, 368, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
  3. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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.