Information on Result #725371

Linear OA(27110, 204, F27, 63) (dual of [204, 94, 64]-code), using construction XX applied to C1 = C([175,51]), C2 = C([0,55]), C3 = C1 + C2 = C([0,51]), and C∩ = C1 ∩ C2 = C([175,55]) based on
  1. linear OA(2797, 182, F27, 59) (dual of [182, 85, 60]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−7,−6,…,51}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  2. linear OA(2792, 182, F27, 56) (dual of [182, 90, 57]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,55], and designed minimum distance d ≥ |I|+1 = 57 [i]
  3. linear OA(27101, 182, F27, 63) (dual of [182, 81, 64]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−7,−6,…,55}, and designed minimum distance d ≥ |I|+1 = 64 [i]
  4. linear OA(2788, 182, F27, 52) (dual of [182, 94, 53]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
  5. linear OA(276, 15, F27, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,27)), using
  6. linear OA(273, 7, F27, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,27) or 7-cap in PG(2,27)), 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(27110, 102, F27, 2, 63) (dual of [(102, 2), 94, 64]-NRT-code) [i]OOA Folding