Information on Result #619668

Linear OA(12839, 142, F128, 27) (dual of [142, 103, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
  1. linear OA(12827, 129, F128, 27) (dual of [129, 102, 28]-code or 129-arc in PG(26,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(12826, 129, F128, 14) (dual of [129, 103, 15]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,13], and minimum distance d ≥ |{−13,−11,−9,…,13}|+1 = 15 (BCH-bound) [i]
  3. linear OA(12812, 13, F128, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,128)), 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.