Information on Result #733256

Linear OA(27101, 19791, F27, 27) (dual of [19791, 19690, 28]-code), using (u, u+v)-construction based on
  1. linear OA(2723, 109, F27, 13) (dual of [109, 86, 14]-code), using
    • construction X applied to Ce(12) ⊂ Ce(10) [i] based on
      1. linear OA(2722, 105, F27, 13) (dual of [105, 83, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(2719, 105, F27, 11) (dual of [105, 86, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
      3. linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
  2. linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code), using
    • 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
      • an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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.