Information on Result #601201

Digital (4, 44)-sequence over F16, using Niederreiter–Xing sequence construction II/III based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using

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:

ResultThis
result
only
Method
1Digital (4, 7, 45)-net over F16 [i]Net from Sequence
2Digital (4, 8, 45)-net over F16 [i]
3Digital (4, 9, 45)-net over F16 [i]
4Digital (4, 10, 45)-net over F16 [i]
5Digital (4, 11, 45)-net over F16 [i]
6Digital (4, 12, 45)-net over F16 [i]
7Digital (4, 13, 45)-net over F16 [i]
8Digital (4, 14, 45)-net over F16 [i]
9Digital (4, 15, 45)-net over F16 [i]
10Digital (4, 16, 45)-net over F16 [i]
11Digital (4, 17, 45)-net over F16 [i]
12Digital (4, 18, 45)-net over F16 [i]
13Digital (4, 19, 45)-net over F16 [i]
14Digital (4, 20, 45)-net over F16 [i]
15Digital (4, 21, 45)-net over F16 [i]
16Digital (4, 22, 45)-net over F16 [i]
17Digital (4, 23, 45)-net over F16 [i]
18Digital (4, 24, 45)-net over F16 [i]
19Digital (4, 25, 45)-net over F16 [i]
20Digital (4, 26, 45)-net over F16 [i]
21Digital (4, 27, 45)-net over F16 [i]
22Digital (4, 28, 45)-net over F16 [i]
23Digital (4, 29, 45)-net over F16 [i]
24Digital (4, 30, 45)-net over F16 [i]
25Digital (4, 31, 45)-net over F16 [i]
26Digital (4, 32, 45)-net over F16 [i]
27Digital (4, 33, 45)-net over F16 [i]
28Digital (4, 34, 45)-net over F16 [i]
29Digital (4, 35, 45)-net over F16 [i]
30Digital (4, 36, 45)-net over F16 [i]
31Digital (4, 37, 45)-net over F16 [i]
32Digital (4, 38, 45)-net over F16 [i]
33Digital (4, 39, 45)-net over F16 [i]
34Digital (4, 40, 45)-net over F16 [i]
35Digital (4, 41, 45)-net over F16 [i]
36Digital (4, 42, 45)-net over F16 [i]
37Digital (4, 43, 45)-net over F16 [i]
38Digital (4, 44, 45)-net over F16 [i]
39Digital (4, 45, 45)-net over F16 [i]
40Digital (4, 46, 45)-net over F16 [i]
41Digital (4, 47, 45)-net over F16 [i]
42Digital (4, 48, 45)-net over F16 [i]
43Digital (4, 49, 45)-net over F16 [i]
44Digital (4, 50, 45)-net over F16 [i]
45Digital (4, 51, 45)-net over F16 [i]
46Digital (4, 52, 45)-net over F16 [i]
47Digital (4, 53, 45)-net over F16 [i]
48Digital (4, 54, 45)-net over F16 [i]
49Digital (4, 55, 45)-net over F16 [i]
50Digital (4, 56, 45)-net over F16 [i]
51Digital (4, 57, 45)-net over F16 [i]
52Digital (4, 58, 45)-net over F16 [i]
53Digital (4, 59, 45)-net over F16 [i]
54Digital (4, 60, 45)-net over F16 [i]
55Digital (4, 61, 45)-net over F16 [i]
56Digital (4, 62, 45)-net over F16 [i]
57Digital (4, 63, 45)-net over F16 [i]
58Digital (4, 64, 45)-net over F16 [i]
59Digital (4, 65, 45)-net over F16 [i]
60Digital (4, 66, 45)-net over F16 [i]
61Digital (4, 67, 45)-net over F16 [i]
62Digital (4, 68, 45)-net over F16 [i]
63Digital (4, 69, 45)-net over F16 [i]
64Digital (4, 70, 45)-net over F16 [i]
65Digital (4, 71, 45)-net over F16 [i]
66Digital (4, 72, 45)-net over F16 [i]
67Digital (4, 73, 45)-net over F16 [i]
68Digital (4, 74, 45)-net over F16 [i]
69Digital (4, 75, 45)-net over F16 [i]
70Digital (4, 76, 45)-net over F16 [i]
71Digital (4, 77, 45)-net over F16 [i]
72Digital (4, 78, 45)-net over F16 [i]
73Digital (4, 79, 45)-net over F16 [i]
74Digital (4, 80, 45)-net over F16 [i]
75Digital (4, 81, 45)-net over F16 [i]
76Digital (4, 82, 45)-net over F16 [i]
77Digital (4, 83, 45)-net over F16 [i]
78Digital (4, 84, 45)-net over F16 [i]
79Digital (4, 85, 45)-net over F16 [i]
80Digital (4, 86, 45)-net over F16 [i]
81Digital (4, 87, 45)-net over F16 [i]
82Digital (4, 88, 45)-net over F16 [i]
83Digital (4, 89, 45)-net over F16 [i]
84Digital (4, 90, 45)-net over F16 [i]
85Digital (4, 91, 45)-net over F16 [i]
86Digital (4, 92, 45)-net over F16 [i]
87Digital (4, 93, 45)-net over F16 [i]
88Digital (4, 94, 45)-net over F16 [i]
89Digital (4, 95, 45)-net over F16 [i]
90Digital (4, 96, 45)-net over F16 [i]
91Digital (4, 97, 45)-net over F16 [i]
92Digital (4, 98, 45)-net over F16 [i]
93Digital (4, 99, 45)-net over F16 [i]
94Digital (4, 100, 45)-net over F16 [i]
95Digital (4, 101, 45)-net over F16 [i]
96Digital (4, 102, 45)-net over F16 [i]
97Digital (4, 103, 45)-net over F16 [i]
98Digital (4, 104, 45)-net over F16 [i]
99Digital (4, 105, 45)-net over F16 [i]
100Digital (4, 106, 45)-net over F16 [i]
101Digital (4, 107, 45)-net over F16 [i]
102Digital (4, 108, 45)-net over F16 [i]
103Digital (4, 109, 45)-net over F16 [i]
104Digital (4, 110, 45)-net over F16 [i]
105Digital (4, 111, 45)-net over F16 [i]
106Digital (4, 112, 45)-net over F16 [i]
107Digital (4, 113, 45)-net over F16 [i]
108Digital (4, 114, 45)-net over F16 [i]
109Digital (4, 115, 45)-net over F16 [i]
110Digital (4, 116, 45)-net over F16 [i]
111Digital (4, 117, 45)-net over F16 [i]
112Digital (4, 118, 45)-net over F16 [i]
113Digital (4, 119, 45)-net over F16 [i]
114Digital (4, 120, 45)-net over F16 [i]
115Digital (4, 121, 45)-net over F16 [i]
116Digital (4, 122, 45)-net over F16 [i]
117Digital (4, 123, 45)-net over F16 [i]
118Digital (4, 124, 45)-net over F16 [i]
119Digital (4, 125, 45)-net over F16 [i]
120Digital (4, 126, 45)-net over F16 [i]
121Digital (4, 127, 45)-net over F16 [i]
122Digital (4, 128, 45)-net over F16 [i]
123Digital (4, 129, 45)-net over F16 [i]
124Digital (4, 130, 45)-net over F16 [i]
125Digital (4, m, 45)-net over F16 for arbitrarily large m [i]