Information on Result #726680

Linear OA(2760, 732, F27, 32) (dual of [732, 672, 33]-code), using construction XX applied to C1 = C([727,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([727,30]) based on
  1. linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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(2779, 784, F27, 32) (dual of [784, 705, 33]-code) [i](u, u+v)-Construction
2Linear OA(2780, 796, F27, 32) (dual of [796, 716, 33]-code) [i]
3Linear OA(2781, 800, F27, 32) (dual of [800, 719, 33]-code) [i]
4Linear OA(2782, 808, F27, 32) (dual of [808, 726, 33]-code) [i]
5Linear OA(2783, 814, F27, 32) (dual of [814, 731, 33]-code) [i]
6Linear OA(2784, 816, F27, 32) (dual of [816, 732, 33]-code) [i]
7Linear OA(2785, 820, F27, 32) (dual of [820, 735, 33]-code) [i]
8Linear OA(2786, 826, F27, 32) (dual of [826, 740, 33]-code) [i]
9Linear OA(2787, 828, F27, 32) (dual of [828, 741, 33]-code) [i]
10Linear OA(2788, 840, F27, 32) (dual of [840, 752, 33]-code) [i]
11Linear OA(2789, 917, F27, 32) (dual of [917, 828, 33]-code) [i]
12Linear OA(2767, 753, F27, 32) (dual of [753, 686, 33]-code) [i]VarÅ¡amov–Edel Lengthening
13Linear OA(2768, 770, F27, 32) (dual of [770, 702, 33]-code) [i]
14Linear OA(2769, 800, F27, 32) (dual of [800, 731, 33]-code) [i]
15Linear OA(2770, 852, F27, 32) (dual of [852, 782, 33]-code) [i]
16Linear OA(2771, 928, F27, 32) (dual of [928, 857, 33]-code) [i]
17Linear OA(2772, 1025, F27, 32) (dual of [1025, 953, 33]-code) [i]
18Linear OOA(2760, 366, F27, 2, 32) (dual of [(366, 2), 672, 33]-NRT-code) [i]OOA Folding