Information on Result #695568

Linear OA(2754, 730, F27, 29) (dual of [730, 676, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
  1. linear OA(2754, 729, F27, 29) (dual of [729, 675, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(2753, 729, F27, 28) (dual of [729, 676, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(270, 1, F27, 0) (dual of [1, 1, 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(2755, 731, F27, 29) (dual of [731, 676, 30]-code) [i]Code Embedding in Larger Space
2Linear OA(2770, 778, F27, 29) (dual of [778, 708, 30]-code) [i](u, u+v)-Construction
3Linear OA(2771, 782, F27, 29) (dual of [782, 711, 30]-code) [i]
4Linear OA(2772, 794, F27, 29) (dual of [794, 722, 30]-code) [i]
5Linear OA(2773, 798, F27, 29) (dual of [798, 725, 30]-code) [i]
6Linear OA(2774, 806, F27, 29) (dual of [806, 732, 30]-code) [i]
7Linear OA(2775, 812, F27, 29) (dual of [812, 737, 30]-code) [i]
8Linear OA(2776, 814, F27, 29) (dual of [814, 738, 30]-code) [i]
9Linear OA(2777, 818, F27, 29) (dual of [818, 741, 30]-code) [i]
10Linear OA(2778, 837, F27, 29) (dual of [837, 759, 30]-code) [i]
11Linear OA(2779, 840, F27, 29) (dual of [840, 761, 30]-code) [i]
12Linear OA(2780, 916, F27, 29) (dual of [916, 836, 30]-code) [i]
13OA(2773, 812, S27, 29) [i]
14OA(2774, 830, S27, 29) [i]
15Linear OA(2761, 751, F27, 29) (dual of [751, 690, 30]-code) [i]VarÅ¡amov–Edel Lengthening
16Linear OA(2762, 768, F27, 29) (dual of [768, 706, 30]-code) [i]
17Linear OA(2763, 800, F27, 29) (dual of [800, 737, 30]-code) [i]
18Linear OA(2764, 854, F27, 29) (dual of [854, 790, 30]-code) [i]
19Linear OA(2765, 936, F27, 29) (dual of [936, 871, 30]-code) [i]
20Linear OA(2766, 1044, F27, 29) (dual of [1044, 978, 30]-code) [i]
21Linear OA(2767, 1171, F27, 29) (dual of [1171, 1104, 30]-code) [i]
22Linear OOA(2754, 365, F27, 2, 29) (dual of [(365, 2), 676, 30]-NRT-code) [i]OOA Folding