Information on Result #601309

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