Information on Result #619616

Linear OA(12827, 138, F128, 19) (dual of [138, 111, 20]-code), using construction X applied to C([0,9]) ⊂ C([1,9]) based on
  1. linear OA(12819, 129, F128, 19) (dual of [129, 110, 20]-code or 129-arc in PG(18,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(12818, 129, F128, 10) (dual of [129, 111, 11]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,9], and minimum distance d ≥ |{−9,−7,−5,…,9}|+1 = 11 (BCH-bound) [i]
  3. linear OA(1288, 9, F128, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,128)), 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.