Information on Result #618388

Linear OA(32103, 120, F32, 53) (dual of [120, 17, 54]-code), using construction X applied to C([0,26]) ⊂ C([1,26]) based on
  1. linear OA(3283, 99, F32, 53) (dual of [99, 16, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 99 | 326−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
  2. linear OA(3282, 99, F32, 32) (dual of [99, 17, 33]-code), using the narrow-sense BCH-code C(I) with length 99 | 326−1, defining interval I = [1,26], and minimum distance d ≥ |{6,7,…,24}| + |{17,42,67,…,0}∖{49,24,48,23,47,22,46,21,45,20,44,19,−6,43,18,−7,42,17}| = 33 (general Roos-bound) [i]
  3. linear OA(3220, 21, F32, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,32)), 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.