Information on Result #683251

Linear OA(5101, 638, F5, 31) (dual of [638, 537, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) based on
  1. linear OA(597, 626, F5, 31) (dual of [626, 529, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(589, 626, F5, 27) (dual of [626, 537, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(54, 12, F5, 3) (dual of [12, 8, 4]-code or 12-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.