MinT - Information on Result #1197642

Information on Result #1197642

Digital (44, 56, 1398100)-net over F₂₇, using net defined by OOA based on linear OOA(27⁵⁶, 1398100, F₂₇, 12, 12) (dual of [(1398100, 12), 16777144, 13]-NRT-code), using

OA 6-folding and stacking [i] based on linear OA(27⁵⁶, 8388600, F₂₇, 12) (dual of [8388600, 8388544, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁵⁶, large, F₂₇, 12) (dual of [large, large−56, 13]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (45, 57, 1398100)-net over F₂₇	[i]	Net Duplication
2	Digital (46, 58, 1398100)-net over F₂₇	[i]
3	Digital (47, 59, 1398100)-net over F₂₇	[i]
4	Digital (156, 168, 4194300)-net over F₃	[i]	Trace Code for Nets
5	Digital (50, 62, 1398128)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
6	Digital (51, 63, 1398138)-net over F₂₇	[i]
7	Digital (52, 64, 1398148)-net over F₂₇	[i]
8	Digital (53, 65, 1398156)-net over F₂₇	[i]
9	Digital (54, 66, 1398166)-net over F₂₇	[i]
10	Digital (55, 67, 1398344)-net over F₂₇	[i]
11	Digital (56, 68, 1398345)-net over F₂₇	[i]
12	Digital (57, 69, 1398346)-net over F₂₇	[i]
13	Digital (58, 70, 1398477)-net over F₂₇	[i]
14	Digital (59, 71, 1398604)-net over F₂₇	[i]
15	Digital (60, 72, 1404662)-net over F₂₇	[i]
16	Digital (61, 73, 1404663)-net over F₂₇	[i]
17	Digital (62, 74, 1404664)-net over F₂₇	[i]
18	Digital (63, 75, 1404690)-net over F₂₇	[i]
19	Digital (64, 76, 1405392)-net over F₂₇	[i]
20	Digital (65, 77, 1575248)-net over F₂₇	[i]
21	Digital (66, 78, 1575250)-net over F₂₇	[i]
22	Digital (67, 79, 1575251)-net over F₂₇	[i]
23	Digital (68, 80, 1575276)-net over F₂₇	[i]
24	Digital (69, 81, 1575978)-net over F₂₇	[i]
25	Digital (58, 70, 1398856)-net over F₂₇	[i]
26	Digital (59, 71, 1398866)-net over F₂₇	[i]
27	(52, 64, 1398182)-net in base 27	[i]
28	(54, 66, 1398200)-net in base 27	[i]
29	(59, 71, 1400287)-net in base 27	[i]
30	Digital (95, 107, 4194440)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
31	Digital (94, 106, 4194412)-net over F₂₇	[i]
32	Digital (95, 107, 4195114)-net over F₂₇	[i]
33	Digital (84, 96, 2796958)-net over F₂₇	[i]
34	Digital (85, 97, 2797281)-net over F₂₇	[i]
35	Digital (90, 102, 2815942)-net over F₂₇	[i]
36	Digital (90, 102, 3062006)-net over F₂₇	[i]
37	Digital (93, 105, 4194384)-net over F₂₇	[i]
38	Digital (94, 106, 4195086)-net over F₂₇	[i]
39	Digital (95, 107, 4195788)-net over F₂₇	[i]
40	Digital (95, 107, 4196064)-net over F₂₇	[i]
41	Digital (82, 94, 2796930)-net over F₂₇	[i]
42	Digital (83, 95, 2797253)-net over F₂₇	[i]
43	Digital (84, 96, 2797298)-net over F₂₇	[i]
44	Digital (84, 96, 2797714)-net over F₂₇	[i]
45	Digital (85, 97, 2798416)-net over F₂₇	[i]
46	Digital (85, 97, 2806099)-net over F₂₇	[i]
47	Digital (89, 101, 2809459)-net over F₂₇	[i]
48	Digital (88, 100, 2815914)-net over F₂₇	[i]
49	Digital (89, 101, 2816643)-net over F₂₇	[i]
50	Digital (88, 100, 3061978)-net over F₂₇	[i]
51	Digital (89, 101, 3062680)-net over F₂₇	[i]
52	Digital (90, 102, 3063382)-net over F₂₇	[i]
53	Digital (90, 102, 3063658)-net over F₂₇	[i]
54	Digital (92, 104, 3327672)-net over F₂₇	[i]
55	Digital (91, 103, 4194356)-net over F₂₇	[i]
56	Digital (92, 104, 4195058)-net over F₂₇	[i]
57	Digital (93, 105, 4195760)-net over F₂₇	[i]
58	Digital (93, 105, 4196036)-net over F₂₇	[i]
59	Digital (94, 106, 4196765)-net over F₂₇	[i]
60	Digital (95, 107, 4197716)-net over F₂₇	[i]
61	Digital (94, 106, 4214824)-net over F₂₇	[i]
62	Digital (95, 107, 4215553)-net over F₂₇	[i]
63	Digital (95, 107, 4727227)-net over F₂₇	[i]
64	Digital (97, 109, 5592428)-net over F₂₇	[i]
65	Digital (98, 110, 5593157)-net over F₂₇	[i]
66	Digital (79, 91, 2796579)-net over F₂₇	[i]
67	Digital (80, 92, 2796902)-net over F₂₇	[i]
68	Digital (81, 93, 2796932)-net over F₂₇	[i]
69	Digital (81, 93, 2796984)-net over F₂₇	[i]
70	Digital (82, 94, 2797686)-net over F₂₇	[i]
71	Digital (83, 95, 2797712)-net over F₂₇	[i]
72	Digital (84, 96, 2797732)-net over F₂₇	[i]
73	Digital (83, 95, 2806071)-net over F₂₇	[i]
74	Digital (84, 96, 2806773)-net over F₂₇	[i]
75	Digital (85, 97, 2807751)-net over F₂₇	[i]
76	Digital (86, 98, 2815886)-net over F₂₇	[i]
77	Digital (87, 99, 2815890)-net over F₂₇	[i]
78	Digital (86, 98, 3061950)-net over F₂₇	[i]
79	Digital (87, 99, 3062652)-net over F₂₇	[i]
80	Digital (88, 100, 3063630)-net over F₂₇	[i]
81	Digital (89, 101, 3082418)-net over F₂₇	[i]
82	Digital (90, 102, 3327644)-net over F₂₇	[i]
83	Digital (89, 101, 4194328)-net over F₂₇	[i]
84	Digital (90, 102, 4195030)-net over F₂₇	[i]
85	Digital (91, 103, 4196008)-net over F₂₇	[i]
86	Digital (92, 104, 4214796)-net over F₂₇	[i]
87	Digital (93, 105, 4727199)-net over F₂₇	[i]
88	Digital (94, 106, 5439433)-net over F₂₇	[i]
89	Digital (95, 107, 5592400)-net over F₂₇	[i]
90	Digital (74, 86, 2796228)-net over F₂₇	[i]
91	Digital (75, 87, 2796238)-net over F₂₇	[i]
92	Digital (76, 88, 2796551)-net over F₂₇	[i]
93	Digital (77, 89, 2796566)-net over F₂₇	[i]
94	Digital (78, 90, 2796956)-net over F₂₇	[i]
95	Digital (79, 91, 2796966)-net over F₂₇	[i]
96	Digital (80, 92, 2806043)-net over F₂₇	[i]
97	Digital (81, 93, 2806045)-net over F₂₇	[i]
98	Digital (82, 94, 2806082)-net over F₂₇	[i]
99	Digital (83, 95, 3061922)-net over F₂₇	[i]
100	Digital (84, 96, 3061925)-net over F₂₇	[i]
101	Digital (85, 97, 3061950)-net over F₂₇	[i]
102	Digital (86, 98, 4194300)-net over F₂₇	[i]