Information on Result #619586

Linear OA(12821, 136, F128, 15) (dual of [136, 115, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
  1. linear OA(12815, 129, F128, 15) (dual of [129, 114, 16]-code or 129-arc in PG(14,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. linear OA(12814, 129, F128, 8) (dual of [129, 115, 9]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,7], and minimum distance d ≥ |{−7,−5,−3,…,7}|+1 = 9 (BCH-bound) [i]
  3. linear OA(1286, 7, F128, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,128)), 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.