Information on Result #619727

Linear OA(12863, 150, F128, 43) (dual of [150, 87, 44]-code), using construction X applied to C([0,21]) ⊂ C([1,21]) based on
  1. linear OA(12843, 129, F128, 43) (dual of [129, 86, 44]-code or 129-arc in PG(42,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(12842, 129, F128, 22) (dual of [129, 87, 23]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,21], and minimum distance d ≥ |{−21,−19,−17,…,21}|+1 = 23 (BCH-bound) [i]
  3. linear OA(12820, 21, F128, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,128)), 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.