Information on Result #725347

Linear OA(2798, 190, F27, 58) (dual of [190, 92, 59]-code), using construction XX applied to C1 = C([0,56]), C2 = C([4,57]), C3 = C1 + C2 = C([4,56]), and C∩ = C1 ∩ C2 = C([0,57]) based on
  1. linear OA(2793, 182, F27, 57) (dual of [182, 89, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58 [i]
  2. linear OA(2792, 182, F27, 54) (dual of [182, 90, 55]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,57}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  3. linear OA(2795, 182, F27, 58) (dual of [182, 87, 59]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59 [i]
  4. linear OA(2790, 182, F27, 53) (dual of [182, 92, 54]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,56}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  5. linear OA(273, 6, F27, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,27) or 6-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(2798, 95, F27, 2, 58) (dual of [(95, 2), 92, 59]-NRT-code) [i]OOA Folding