Information on Result #616906

Linear OA(2533, 37, F25, 23) (dual of [37, 4, 24]-code), using construction X applied to C([0,11]) ⊂ C([1,11]) based on
  1. linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(2522, 26, F25, 12) (dual of [26, 4, 13]-code), using the narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [1,11], and minimum distance d ≥ |{1,2,3,4}| + |{0,3,6,…,7}∖{9,12,−2}| = 13 (general Roos-bound) [i]
  3. linear OA(2510, 11, F25, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,25)), 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.