Information on Result #725265

Linear OA(2795, 204, F27, 52) (dual of [204, 109, 53]-code), using construction XX applied to C1 = C([174,42]), C2 = C([0,43]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([174,43]) based on
  1. linear OA(2786, 182, F27, 51) (dual of [182, 96, 52]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−8,−7,…,42}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  2. linear OA(2775, 182, F27, 44) (dual of [182, 107, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(2788, 182, F27, 52) (dual of [182, 94, 53]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−8,−7,…,43}, and designed minimum distance d ≥ |I|+1 = 53 [i]
  4. linear OA(2773, 182, F27, 43) (dual of [182, 109, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  5. linear OA(277, 20, F27, 7) (dual of [20, 13, 8]-code or 20-arc in PG(6,27)), using
  6. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2795, 102, F27, 2, 52) (dual of [(102, 2), 109, 53]-NRT-code) [i]OOA Folding