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