Information on Result #601157

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