Information on Result #662759

Linear OA(5148, 3154, F5, 32) (dual of [3154, 3006, 33]-code), using (u, u+v)-construction based on
  1. linear OA(522, 29, F5, 16) (dual of [29, 7, 17]-code), using
    • 2 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(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using
    • an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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.