Information on Result #725247

Linear OA(2777, 189, F27, 44) (dual of [189, 112, 45]-code), using construction XX applied to C1 = C([0,42]), C2 = C([3,43]), C3 = C1 + C2 = C([3,42]), 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(2772, 182, F27, 41) (dual of [182, 110, 42]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {3,4,…,43}, and designed minimum distance d ≥ |I|+1 = 42 [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(2770, 182, F27, 40) (dual of [182, 112, 41]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {3,4,…,42}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  5. linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), 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(2777, 94, F27, 2, 44) (dual of [(94, 2), 111, 45]-NRT-code) [i]OOA Folding