Information on Result #614172

Linear OA(5133, 155, F5, 65) (dual of [155, 22, 66]-code), using construction X applied to C([0,32]) ⊂ C([1,32]) based on
  1. linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
  2. linear OA(5104, 126, F5, 36) (dual of [126, 22, 37]-code), using the narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [1,32], and minimum distance d ≥ |{−32,−21,−10,1}| + |{0,1,…,35}∖{10,21,32}| = 37 (general Roos-bound) [i]
  3. linear OA(528, 29, F5, 28) (dual of [29, 1, 29]-code or 29-arc in PG(27,5)), 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.