Information on Result #727234

Linear OA(2790, 732, F27, 47) (dual of [732, 642, 48]-code), using construction XX applied to C1 = C([727,44]), C2 = C([0,45]), C3 = C1 + C2 = C([0,44]), and C∩ = C1 ∩ C2 = C([727,45]) based on
  1. linear OA(2788, 728, F27, 46) (dual of [728, 640, 47]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,44}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(2788, 728, F27, 46) (dual of [728, 640, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(2790, 728, F27, 47) (dual of [728, 638, 48]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,45}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(2786, 728, F27, 45) (dual of [728, 642, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [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(2796, 751, F27, 47) (dual of [751, 655, 48]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(2797, 771, F27, 47) (dual of [771, 674, 48]-code) [i]
3Linear OA(2798, 807, F27, 47) (dual of [807, 709, 48]-code) [i]
4Linear OA(2799, 858, F27, 47) (dual of [858, 759, 48]-code) [i]
5Linear OOA(2790, 366, F27, 2, 47) (dual of [(366, 2), 642, 48]-NRT-code) [i]OOA Folding