Information on Result #667525

Linear OA(2768, 19866, F27, 18) (dual of [19866, 19798, 19]-code), using (u, u+v)-construction based on
  1. linear OA(2716, 183, F27, 9) (dual of [183, 167, 10]-code), using
    • an extension Ce(8) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2768, 2207, F27, 18, 18) (dual of [(2207, 18), 39658, 19]-NRT-code) [i]OA Folding and Stacking