Information on Result #662763

Linear OA(5142, 3154, F5, 31) (dual of [3154, 3012, 32]-code), using (u, u+v)-construction based on
  1. linear OA(521, 28, F5, 15) (dual of [28, 7, 16]-code), using
    • 3 times truncation [i] based on linear OA(524, 31, F5, 18) (dual of [31, 7, 19]-code), using
      • contraction [i] based on linear OA(555, 62, F5, 37) (dual of [62, 7, 38]-code), using the BCH-code C(I) with length 62 | 53−1, defining interval I = {−1,18,37,…,1}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]

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.