Information on Result #735274

Linear OA(8165, 6977, F81, 23) (dual of [6977, 6912, 24]-code), using (u, u+v)-construction based on
  1. linear OA(8119, 410, F81, 11) (dual of [410, 391, 12]-code), using
    • the BCH-code C(I) with length 410 | 812−1, defining interval I = {1,50,99,…,81}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(8146, 6567, F81, 23) (dual of [6567, 6521, 24]-code), using
    • construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
      1. linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
      2. linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
      3. linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), 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.