Information on Result #727198

Linear OA(2786, 732, F27, 45) (dual of [732, 646, 46]-code), using construction XX applied to C1 = C([727,42]), C2 = C([0,43]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([727,43]) based on
  1. linear OA(2784, 728, F27, 44) (dual of [728, 644, 45]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,42}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  2. linear OA(2784, 728, F27, 44) (dual of [728, 644, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(2786, 728, F27, 45) (dual of [728, 642, 46]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,43}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(2782, 728, F27, 43) (dual of [728, 646, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  5. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)

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(2793, 764, F27, 45) (dual of [764, 671, 46]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(2794, 794, F27, 45) (dual of [794, 700, 46]-code) [i]
3Linear OA(2795, 842, F27, 45) (dual of [842, 747, 46]-code) [i]
4Linear OA(2797, 972, F27, 45) (dual of [972, 875, 46]-code) [i]
5Linear OOA(2786, 366, F27, 2, 45) (dual of [(366, 2), 646, 46]-NRT-code) [i]OOA Folding