Information on Result #682108

Linear OA(5149, 1953148, F5, 21) (dual of [1953148, 1952999, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,8]) based on
  1. linear OA(5145, 1953126, F5, 21) (dual of [1953126, 1952981, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(5127, 1953126, F5, 17) (dual of [1953126, 1952999, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  3. linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), 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.