Information on Result #617402

Linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2726, large, F27, 5) (dual of [large, large−26, 6]-code) [i]Strength Reduction
2Linear OA(2726, large, F27, 4) (dual of [large, large−26, 5]-code) [i]
3Linear OA(2726, large, F27, 3) (dual of [large, large−26, 4]-code) [i]
4Linear OA(2727, large, F27, 6) (dual of [large, large−27, 7]-code) [i]Code Embedding in Larger Space
5Linear OA(2728, large, F27, 6) (dual of [large, large−28, 7]-code) [i]
6Linear OA(2729, large, F27, 6) (dual of [large, large−29, 7]-code) [i]
7Linear OA(2730, large, F27, 6) (dual of [large, large−30, 7]-code) [i]
8Linear OA(2732, large, F27, 6) (dual of [large, large−32, 7]-code) [i]
9Linear OA(2733, large, F27, 6) (dual of [large, large−33, 7]-code) [i]
10Linear OA(2734, large, F27, 6) (dual of [large, large−34, 7]-code) [i]
11Linear OA(2735, large, F27, 6) (dual of [large, large−35, 7]-code) [i]
12Linear OA(2737, large, F27, 6) (dual of [large, large−37, 7]-code) [i]
13Linear OA(2738, large, F27, 6) (dual of [large, large−38, 7]-code) [i]
14Linear OA(2739, large, F27, 6) (dual of [large, large−39, 7]-code) [i]
15Linear OA(2740, large, F27, 6) (dual of [large, large−40, 7]-code) [i]
16Linear OA(2742, large, F27, 6) (dual of [large, large−42, 7]-code) [i]
17Linear OA(2743, large, F27, 6) (dual of [large, large−43, 7]-code) [i]
18Linear OA(2744, large, F27, 6) (dual of [large, large−44, 7]-code) [i]
19Linear OA(2745, large, F27, 6) (dual of [large, large−45, 7]-code) [i]
20Linear OA(2747, large, F27, 6) (dual of [large, large−47, 7]-code) [i]
21Linear OA(2748, large, F27, 6) (dual of [large, large−48, 7]-code) [i]
22Linear OA(2749, large, F27, 6) (dual of [large, large−49, 7]-code) [i]
23Linear OA(2750, large, F27, 6) (dual of [large, large−50, 7]-code) [i]
24Linear OA(2752, large, F27, 6) (dual of [large, large−52, 7]-code) [i]
25Linear OA(2753, large, F27, 6) (dual of [large, large−53, 7]-code) [i]
26Linear OA(2754, large, F27, 6) (dual of [large, large−54, 7]-code) [i]
27Linear OA(2755, large, F27, 6) (dual of [large, large−55, 7]-code) [i]
28Linear OA(2757, large, F27, 6) (dual of [large, large−57, 7]-code) [i]
29Linear OA(2758, large, F27, 6) (dual of [large, large−58, 7]-code) [i]
30Linear OA(2759, large, F27, 6) (dual of [large, large−59, 7]-code) [i]
31Linear OA(2760, large, F27, 6) (dual of [large, large−60, 7]-code) [i]
32Linear OA(2762, large, F27, 6) (dual of [large, large−62, 7]-code) [i]
33Linear OA(2763, large, F27, 6) (dual of [large, large−63, 7]-code) [i]
34Linear OA(2764, large, F27, 6) (dual of [large, large−64, 7]-code) [i]
35Linear OA(2765, large, F27, 6) (dual of [large, large−65, 7]-code) [i]
36Linear OA(2767, large, F27, 6) (dual of [large, large−67, 7]-code) [i]
37Linear OA(2768, large, F27, 6) (dual of [large, large−68, 7]-code) [i]
38Linear OA(2769, large, F27, 6) (dual of [large, large−69, 7]-code) [i]
39Linear OA(2770, large, F27, 6) (dual of [large, large−70, 7]-code) [i]
40Linear OA(2772, large, F27, 6) (dual of [large, large−72, 7]-code) [i]
41Linear OA(2773, large, F27, 6) (dual of [large, large−73, 7]-code) [i]
42Linear OA(2774, large, F27, 6) (dual of [large, large−74, 7]-code) [i]
43Linear OA(2775, large, F27, 6) (dual of [large, large−75, 7]-code) [i]
44Linear OA(2777, large, F27, 6) (dual of [large, large−77, 7]-code) [i]
45Linear OA(2778, large, F27, 6) (dual of [large, large−78, 7]-code) [i]
46Linear OA(2779, large, F27, 6) (dual of [large, large−79, 7]-code) [i]
47Linear OA(2780, large, F27, 6) (dual of [large, large−80, 7]-code) [i]
48Linear OA(2782, large, F27, 6) (dual of [large, large−82, 7]-code) [i]
49Linear OA(2783, large, F27, 6) (dual of [large, large−83, 7]-code) [i]
50Linear OA(2784, large, F27, 6) (dual of [large, large−84, 7]-code) [i]
51Linear OA(2785, large, F27, 6) (dual of [large, large−85, 7]-code) [i]
52Linear OA(2787, large, F27, 6) (dual of [large, large−87, 7]-code) [i]
53Linear OA(2788, large, F27, 6) (dual of [large, large−88, 7]-code) [i]
54Linear OA(2789, large, F27, 6) (dual of [large, large−89, 7]-code) [i]
55Linear OA(2790, large, F27, 6) (dual of [large, large−90, 7]-code) [i]
56Linear OA(2792, large, F27, 6) (dual of [large, large−92, 7]-code) [i]
57Linear OA(2793, large, F27, 6) (dual of [large, large−93, 7]-code) [i]
58Linear OA(2794, large, F27, 6) (dual of [large, large−94, 7]-code) [i]
59Linear OA(2795, large, F27, 6) (dual of [large, large−95, 7]-code) [i]
60Linear OA(2797, large, F27, 6) (dual of [large, large−97, 7]-code) [i]
61Linear OA(2798, large, F27, 6) (dual of [large, large−98, 7]-code) [i]
62Linear OA(2799, large, F27, 6) (dual of [large, large−99, 7]-code) [i]
63Linear OA(27100, large, F27, 6) (dual of [large, large−100, 7]-code) [i]
64Linear OA(27102, large, F27, 6) (dual of [large, large−102, 7]-code) [i]
65Linear OA(27103, large, F27, 6) (dual of [large, large−103, 7]-code) [i]
66Linear OA(27104, large, F27, 6) (dual of [large, large−104, 7]-code) [i]
67Linear OA(27105, large, F27, 6) (dual of [large, large−105, 7]-code) [i]
68Linear OA(27107, large, F27, 6) (dual of [large, large−107, 7]-code) [i]
69Linear OA(27108, large, F27, 6) (dual of [large, large−108, 7]-code) [i]
70Linear OA(27109, large, F27, 6) (dual of [large, large−109, 7]-code) [i]
71Linear OA(27110, large, F27, 6) (dual of [large, large−110, 7]-code) [i]
72OA(939, large, S9, 6) [i]Discarding Parts of the Base for OAs
73Linear OOA(2726, large, F27, 2, 6) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
74Digital (20, 26, large)-net over F27 [i]
75Linear OOA(2726, 4194301, F27, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code) [i]OOA Folding
76Linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code) [i]OA Folding and Stacking