Information on Result #726944

Linear OA(2773, 735, F27, 38) (dual of [735, 662, 39]-code), using construction XX applied to C1 = C([726,34]), C2 = C([0,35]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([726,35]) based on
  1. linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,34}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,35}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(2766, 728, F27, 35) (dual of [728, 662, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), 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 OA(2799, 817, F27, 38) (dual of [817, 718, 39]-code) [i](u, u+v)-Construction
2Linear OA(27102, 829, F27, 38) (dual of [829, 727, 39]-code) [i]
3Linear OA(27103, 831, F27, 38) (dual of [831, 728, 39]-code) [i]
4Linear OA(27104, 833, F27, 38) (dual of [833, 729, 39]-code) [i]