Information on Result #601306

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