Information on Result #601155

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