Information on Result #619889

Linear OA(25666, 279, F256, 45) (dual of [279, 213, 46]-code), using construction X applied to C([0,22]) ⊂ C([1,22]) based on
  1. linear OA(25645, 257, F256, 45) (dual of [257, 212, 46]-code or 257-arc in PG(44,256)), using the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  2. linear OA(25644, 257, F256, 23) (dual of [257, 213, 24]-code), using the narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [1,22], and minimum distance d ≥ |{1,2,…,22}| + |{−23,0}| = 24 (simple Roos-bound) [i]
  3. linear OA(25621, 22, F256, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,256)), 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.