Information on Result #601310

Digital (16, 36)-sequence over F5, using Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 11, N(F) = 32, and 5 places with degree 2 based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, 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:

ResultThis
result
only
Method
1Digital (16, 19, 37)-net over F5 [i]Net from Sequence
2Digital (16, 20, 37)-net over F5 [i]
3Digital (16, 21, 37)-net over F5 [i]
4Digital (16, 22, 37)-net over F5 [i]
5Digital (16, 23, 37)-net over F5 [i]
6Digital (16, 24, 37)-net over F5 [i]
7Digital (16, 25, 37)-net over F5 [i]
8Digital (16, 26, 37)-net over F5 [i]
9Digital (16, 27, 37)-net over F5 [i]
10Digital (16, 28, 37)-net over F5 [i]
11Digital (16, 29, 37)-net over F5 [i]
12Digital (16, 30, 37)-net over F5 [i]
13Digital (16, 31, 37)-net over F5 [i]
14Digital (16, 32, 37)-net over F5 [i]
15Digital (16, 33, 37)-net over F5 [i]
16Digital (16, 34, 37)-net over F5 [i]
17Digital (16, 35, 37)-net over F5 [i]
18Digital (16, 36, 37)-net over F5 [i]
19Digital (16, 37, 37)-net over F5 [i]
20Digital (16, 38, 37)-net over F5 [i]
21Digital (16, 39, 37)-net over F5 [i]
22Digital (16, 40, 37)-net over F5 [i]
23Digital (16, 41, 37)-net over F5 [i]
24Digital (16, 42, 37)-net over F5 [i]
25Digital (16, 43, 37)-net over F5 [i]
26Digital (16, 44, 37)-net over F5 [i]
27Digital (16, 45, 37)-net over F5 [i]
28Digital (16, 46, 37)-net over F5 [i]
29Digital (16, 47, 37)-net over F5 [i]
30Digital (16, 48, 37)-net over F5 [i]
31Digital (16, 49, 37)-net over F5 [i]
32Digital (16, 50, 37)-net over F5 [i]
33Digital (16, 51, 37)-net over F5 [i]
34Digital (16, 52, 37)-net over F5 [i]
35Digital (16, 53, 37)-net over F5 [i]
36Digital (16, 54, 37)-net over F5 [i]
37Digital (16, 55, 37)-net over F5 [i]
38Digital (16, 56, 37)-net over F5 [i]
39Digital (16, 57, 37)-net over F5 [i]
40Digital (16, 58, 37)-net over F5 [i]
41Digital (16, 59, 37)-net over F5 [i]
42Digital (16, 60, 37)-net over F5 [i]
43Digital (16, 61, 37)-net over F5 [i]
44Digital (16, 62, 37)-net over F5 [i]
45Digital (16, 63, 37)-net over F5 [i]
46Digital (16, 64, 37)-net over F5 [i]
47Digital (16, 65, 37)-net over F5 [i]
48Digital (16, 66, 37)-net over F5 [i]
49Digital (16, 67, 37)-net over F5 [i]
50Digital (16, 68, 37)-net over F5 [i]
51Digital (16, 69, 37)-net over F5 [i]
52Digital (16, 70, 37)-net over F5 [i]
53Digital (16, 71, 37)-net over F5 [i]
54Digital (16, 72, 37)-net over F5 [i]
55Digital (16, 73, 37)-net over F5 [i]
56Digital (16, 74, 37)-net over F5 [i]
57Digital (16, 75, 37)-net over F5 [i]
58Digital (16, 76, 37)-net over F5 [i]
59Digital (16, 77, 37)-net over F5 [i]
60Digital (16, 78, 37)-net over F5 [i]
61Digital (16, 79, 37)-net over F5 [i]
62Digital (16, 80, 37)-net over F5 [i]
63Digital (16, 81, 37)-net over F5 [i]
64Digital (16, 82, 37)-net over F5 [i]
65Digital (16, 83, 37)-net over F5 [i]
66Digital (16, 84, 37)-net over F5 [i]
67Digital (16, 85, 37)-net over F5 [i]
68Digital (16, 86, 37)-net over F5 [i]
69Digital (16, 87, 37)-net over F5 [i]
70Digital (16, 88, 37)-net over F5 [i]
71Digital (16, 89, 37)-net over F5 [i]
72Digital (16, 90, 37)-net over F5 [i]
73Digital (16, 91, 37)-net over F5 [i]
74Digital (16, 92, 37)-net over F5 [i]
75Digital (16, 93, 37)-net over F5 [i]
76Digital (16, 94, 37)-net over F5 [i]
77Digital (16, 95, 37)-net over F5 [i]
78Digital (16, 96, 37)-net over F5 [i]
79Digital (16, 97, 37)-net over F5 [i]
80Digital (16, 98, 37)-net over F5 [i]
81Digital (16, 99, 37)-net over F5 [i]
82Digital (16, 100, 37)-net over F5 [i]
83Digital (16, 101, 37)-net over F5 [i]
84Digital (16, 102, 37)-net over F5 [i]
85Digital (16, 103, 37)-net over F5 [i]
86Digital (16, 104, 37)-net over F5 [i]
87Digital (16, 105, 37)-net over F5 [i]
88Digital (16, 106, 37)-net over F5 [i]
89Digital (16, 107, 37)-net over F5 [i]
90Digital (16, 108, 37)-net over F5 [i]
91Digital (16, 109, 37)-net over F5 [i]
92Digital (16, 110, 37)-net over F5 [i]
93Digital (16, 111, 37)-net over F5 [i]
94Digital (16, 112, 37)-net over F5 [i]
95Digital (16, 113, 37)-net over F5 [i]
96Digital (16, 114, 37)-net over F5 [i]
97Digital (16, 115, 37)-net over F5 [i]
98Digital (16, 116, 37)-net over F5 [i]
99Digital (16, 117, 37)-net over F5 [i]
100Digital (16, 118, 37)-net over F5 [i]
101Digital (16, 119, 37)-net over F5 [i]
102Digital (16, 120, 37)-net over F5 [i]
103Digital (16, 121, 37)-net over F5 [i]
104Digital (16, 122, 37)-net over F5 [i]
105Digital (16, 123, 37)-net over F5 [i]
106Digital (16, 124, 37)-net over F5 [i]
107Digital (16, 125, 37)-net over F5 [i]
108Digital (16, 126, 37)-net over F5 [i]
109Digital (16, 127, 37)-net over F5 [i]
110Digital (16, 128, 37)-net over F5 [i]
111Digital (16, 129, 37)-net over F5 [i]
112Digital (16, 130, 37)-net over F5 [i]
113Digital (16, 131, 37)-net over F5 [i]
114Digital (16, 132, 37)-net over F5 [i]
115Digital (16, 133, 37)-net over F5 [i]
116Digital (16, 134, 37)-net over F5 [i]
117Digital (16, 135, 37)-net over F5 [i]
118Digital (16, 136, 37)-net over F5 [i]
119Digital (16, 137, 37)-net over F5 [i]
120Digital (16, 138, 37)-net over F5 [i]
121Digital (16, 139, 37)-net over F5 [i]
122Digital (16, 140, 37)-net over F5 [i]
123Digital (16, 141, 37)-net over F5 [i]
124Digital (16, 142, 37)-net over F5 [i]
125Digital (16, 143, 37)-net over F5 [i]
126Digital (16, 144, 37)-net over F5 [i]
127Digital (16, 145, 37)-net over F5 [i]
128Digital (16, 146, 37)-net over F5 [i]
129Digital (16, 147, 37)-net over F5 [i]
130Digital (16, 148, 37)-net over F5 [i]
131Digital (16, 149, 37)-net over F5 [i]
132Digital (16, 150, 37)-net over F5 [i]
133Digital (16, m, 37)-net over F5 for arbitrarily large m [i]