MinT - Information on Result #601311

Information on Result #601311

Digital (18, 42)-sequence over F₅, using Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₅ with g(F)Â =Â 17, N(F)Â =Â 42, and 1 place with degree 2 based on function field F/F₅ with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed 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 (19, 42)-sequence over F₅	[i]	t-Expansion for Sequences
2	Digital (20, 42)-sequence over F₅	[i]
3	Digital (21, 42)-sequence over F₅	[i]
4	Digital (18, 21, 43)-net over F₅	[i]	Net from Sequence
5	Digital (18, 22, 43)-net over F₅	[i]
6	Digital (18, 23, 43)-net over F₅	[i]
7	Digital (18, 24, 43)-net over F₅	[i]
8	Digital (18, 25, 43)-net over F₅	[i]
9	Digital (18, 26, 43)-net over F₅	[i]
10	Digital (18, 27, 43)-net over F₅	[i]
11	Digital (18, 28, 43)-net over F₅	[i]
12	Digital (18, 29, 43)-net over F₅	[i]
13	Digital (18, 30, 43)-net over F₅	[i]
14	Digital (18, 31, 43)-net over F₅	[i]
15	Digital (18, 32, 43)-net over F₅	[i]
16	Digital (18, 33, 43)-net over F₅	[i]
17	Digital (18, 34, 43)-net over F₅	[i]
18	Digital (18, 35, 43)-net over F₅	[i]
19	Digital (18, 36, 43)-net over F₅	[i]
20	Digital (18, 37, 43)-net over F₅	[i]
21	Digital (18, 38, 43)-net over F₅	[i]
22	Digital (18, 39, 43)-net over F₅	[i]
23	Digital (18, 40, 43)-net over F₅	[i]
24	Digital (18, 41, 43)-net over F₅	[i]
25	Digital (18, 42, 43)-net over F₅	[i]
26	Digital (18, 43, 43)-net over F₅	[i]
27	Digital (18, 44, 43)-net over F₅	[i]
28	Digital (18, 45, 43)-net over F₅	[i]
29	Digital (18, 46, 43)-net over F₅	[i]
30	Digital (18, 47, 43)-net over F₅	[i]
31	Digital (18, 48, 43)-net over F₅	[i]
32	Digital (18, 49, 43)-net over F₅	[i]
33	Digital (18, 50, 43)-net over F₅	[i]
34	Digital (18, 51, 43)-net over F₅	[i]
35	Digital (18, 52, 43)-net over F₅	[i]
36	Digital (18, 53, 43)-net over F₅	[i]
37	Digital (18, 54, 43)-net over F₅	[i]
38	Digital (18, 55, 43)-net over F₅	[i]
39	Digital (18, 56, 43)-net over F₅	[i]
40	Digital (18, 57, 43)-net over F₅	[i]
41	Digital (18, 58, 43)-net over F₅	[i]
42	Digital (18, 59, 43)-net over F₅	[i]
43	Digital (18, 60, 43)-net over F₅	[i]
44	Digital (18, 61, 43)-net over F₅	[i]
45	Digital (18, 62, 43)-net over F₅	[i]
46	Digital (18, 63, 43)-net over F₅	[i]
47	Digital (18, 64, 43)-net over F₅	[i]
48	Digital (18, 65, 43)-net over F₅	[i]
49	Digital (18, 66, 43)-net over F₅	[i]
50	Digital (18, 67, 43)-net over F₅	[i]
51	Digital (18, 68, 43)-net over F₅	[i]
52	Digital (18, 69, 43)-net over F₅	[i]
53	Digital (18, 70, 43)-net over F₅	[i]
54	Digital (18, 71, 43)-net over F₅	[i]
55	Digital (18, 72, 43)-net over F₅	[i]
56	Digital (18, 73, 43)-net over F₅	[i]
57	Digital (18, 74, 43)-net over F₅	[i]
58	Digital (18, 75, 43)-net over F₅	[i]
59	Digital (18, 76, 43)-net over F₅	[i]
60	Digital (18, 77, 43)-net over F₅	[i]
61	Digital (18, 78, 43)-net over F₅	[i]
62	Digital (18, 79, 43)-net over F₅	[i]
63	Digital (18, 80, 43)-net over F₅	[i]
64	Digital (18, 81, 43)-net over F₅	[i]
65	Digital (18, 82, 43)-net over F₅	[i]
66	Digital (18, 83, 43)-net over F₅	[i]
67	Digital (18, 84, 43)-net over F₅	[i]
68	Digital (18, 85, 43)-net over F₅	[i]
69	Digital (18, 86, 43)-net over F₅	[i]
70	Digital (18, 87, 43)-net over F₅	[i]
71	Digital (18, 88, 43)-net over F₅	[i]
72	Digital (18, 89, 43)-net over F₅	[i]
73	Digital (18, 90, 43)-net over F₅	[i]
74	Digital (18, 91, 43)-net over F₅	[i]
75	Digital (18, 92, 43)-net over F₅	[i]
76	Digital (18, 93, 43)-net over F₅	[i]
77	Digital (18, 94, 43)-net over F₅	[i]
78	Digital (18, 95, 43)-net over F₅	[i]
79	Digital (18, 96, 43)-net over F₅	[i]
80	Digital (18, 97, 43)-net over F₅	[i]
81	Digital (18, 98, 43)-net over F₅	[i]
82	Digital (18, 99, 43)-net over F₅	[i]
83	Digital (18, 100, 43)-net over F₅	[i]
84	Digital (18, 101, 43)-net over F₅	[i]
85	Digital (18, 102, 43)-net over F₅	[i]
86	Digital (18, 103, 43)-net over F₅	[i]
87	Digital (18, 104, 43)-net over F₅	[i]
88	Digital (18, 105, 43)-net over F₅	[i]
89	Digital (18, 106, 43)-net over F₅	[i]
90	Digital (18, 107, 43)-net over F₅	[i]
91	Digital (18, 108, 43)-net over F₅	[i]
92	Digital (18, 109, 43)-net over F₅	[i]
93	Digital (18, 110, 43)-net over F₅	[i]
94	Digital (18, 111, 43)-net over F₅	[i]
95	Digital (18, 112, 43)-net over F₅	[i]
96	Digital (18, 113, 43)-net over F₅	[i]
97	Digital (18, 114, 43)-net over F₅	[i]
98	Digital (18, 115, 43)-net over F₅	[i]
99	Digital (18, 116, 43)-net over F₅	[i]
100	Digital (18, 117, 43)-net over F₅	[i]
101	Digital (18, 118, 43)-net over F₅	[i]
102	Digital (18, 119, 43)-net over F₅	[i]
103	Digital (18, 120, 43)-net over F₅	[i]
104	Digital (18, 121, 43)-net over F₅	[i]
105	Digital (18, 122, 43)-net over F₅	[i]
106	Digital (18, 123, 43)-net over F₅	[i]
107	Digital (18, 124, 43)-net over F₅	[i]
108	Digital (18, 125, 43)-net over F₅	[i]
109	Digital (18, 126, 43)-net over F₅	[i]
110	Digital (18, 127, 43)-net over F₅	[i]
111	Digital (18, 128, 43)-net over F₅	[i]
112	Digital (18, 129, 43)-net over F₅	[i]
113	Digital (18, 130, 43)-net over F₅	[i]
114	Digital (18, 131, 43)-net over F₅	[i]
115	Digital (18, 132, 43)-net over F₅	[i]
116	Digital (18, 133, 43)-net over F₅	[i]
117	Digital (18, 134, 43)-net over F₅	[i]
118	Digital (18, 135, 43)-net over F₅	[i]
119	Digital (18, 136, 43)-net over F₅	[i]
120	Digital (18, 137, 43)-net over F₅	[i]
121	Digital (18, 138, 43)-net over F₅	[i]
122	Digital (18, 139, 43)-net over F₅	[i]
123	Digital (18, 140, 43)-net over F₅	[i]
124	Digital (18, 141, 43)-net over F₅	[i]
125	Digital (18, 142, 43)-net over F₅	[i]
126	Digital (18, 143, 43)-net over F₅	[i]
127	Digital (18, 144, 43)-net over F₅	[i]
128	Digital (18, 145, 43)-net over F₅	[i]
129	Digital (18, 146, 43)-net over F₅	[i]
130	Digital (18, 147, 43)-net over F₅	[i]
131	Digital (18, 148, 43)-net over F₅	[i]
132	Digital (18, 149, 43)-net over F₅	[i]
133	Digital (18, 150, 43)-net over F₅	[i]
134	Digital (18, m, 43)-net over F₅ for arbitrarily large m	[i]