Information on Result #725241

Linear OA(2778, 192, F27, 44) (dual of [192, 114, 45]-code), using construction XX applied to C1 = C([0,42]), C2 = C([4,43]), C3 = C1 + C2 = C([4,42]), and C∩ = C1 ∩ C2 = C([0,43]) based on
  1. 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]
  2. linear OA(2770, 182, F27, 40) (dual of [182, 112, 41]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,43}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. 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]
  4. linear OA(2768, 182, F27, 39) (dual of [182, 114, 40]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,42}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  5. linear OA(273, 8, F27, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,27) or 8-cap in PG(2,27)), 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(2778, 96, F27, 2, 44) (dual of [(96, 2), 114, 45]-NRT-code) [i]OOA Folding