Information on Result #666352

Linear OA(2560, 15728, F25, 16) (dual of [15728, 15668, 17]-code), using (u, u+v)-construction based on
  1. linear OA(2514, 103, F25, 8) (dual of [103, 89, 9]-code), using
    • 1 times truncation [i] based on linear OA(2515, 104, F25, 9) (dual of [104, 89, 10]-code), using
      • the BCH-code C(I) with length 104 | 252−1, defining interval I = {1,4,7,…,25}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using
    • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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.