Information on Result #687656

Linear OA(8166, 523, F8, 61) (dual of [523, 357, 62]-code), using construction X applied to C([0,30]) ⊂ C([0,28]) based on
  1. linear OA(8163, 513, F8, 61) (dual of [513, 350, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
  2. linear OA(8151, 513, F8, 57) (dual of [513, 362, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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.