Information on Result #667593

Linear OA(2767, 531498, F27, 15) (dual of [531498, 531431, 16]-code), using (u, u+v)-construction based on
  1. linear OA(2710, 56, F27, 7) (dual of [56, 46, 8]-code), using
    • the BCH-code C(I) with length 56 | 272−1, defining interval I = {27,32,37,…,1}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(2757, 531442, F27, 15) (dual of [531442, 531385, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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(2767, 75928, F27, 15, 15) (dual of [(75928, 15), 1138853, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row