Information on Result #601307

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