Information on Result #725200

Linear OA(2767, 192, F27, 37) (dual of [192, 125, 38]-code), using construction XX applied to C1 = C([0,35]), C2 = C([4,36]), C3 = C1 + C2 = C([4,35]), and C∩ = C1 ∩ C2 = C([0,36]) based on
  1. linear OA(2762, 182, F27, 36) (dual of [182, 120, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(2759, 182, F27, 33) (dual of [182, 123, 34]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,36}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(2764, 182, F27, 37) (dual of [182, 118, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(2757, 182, F27, 32) (dual of [182, 125, 33]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,35}, and designed minimum distance d ≥ |I|+1 = 33 [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(2767, 96, F27, 2, 37) (dual of [(96, 2), 125, 38]-NRT-code) [i]OOA Folding