Information on Result #601312

Digital (8, 34)-sequence over F8, using Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [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 (8, 11, 35)-net over F8 [i]Net from Sequence
2Digital (8, 12, 35)-net over F8 [i]
3Digital (8, 13, 35)-net over F8 [i]
4Digital (8, 14, 35)-net over F8 [i]
5Digital (8, 15, 35)-net over F8 [i]
6Digital (8, 16, 35)-net over F8 [i]
7Digital (8, 17, 35)-net over F8 [i]
8Digital (8, 18, 35)-net over F8 [i]
9Digital (8, 19, 35)-net over F8 [i]
10Digital (8, 20, 35)-net over F8 [i]
11Digital (8, 21, 35)-net over F8 [i]
12Digital (8, 22, 35)-net over F8 [i]
13Digital (8, 23, 35)-net over F8 [i]
14Digital (8, 24, 35)-net over F8 [i]
15Digital (8, 25, 35)-net over F8 [i]
16Digital (8, 26, 35)-net over F8 [i]
17Digital (8, 27, 35)-net over F8 [i]
18Digital (8, 28, 35)-net over F8 [i]
19Digital (8, 29, 35)-net over F8 [i]
20Digital (8, 30, 35)-net over F8 [i]
21Digital (8, 31, 35)-net over F8 [i]
22Digital (8, 32, 35)-net over F8 [i]
23Digital (8, 33, 35)-net over F8 [i]
24Digital (8, 34, 35)-net over F8 [i]
25Digital (8, 35, 35)-net over F8 [i]
26Digital (8, 36, 35)-net over F8 [i]
27Digital (8, 37, 35)-net over F8 [i]
28Digital (8, 38, 35)-net over F8 [i]
29Digital (8, 39, 35)-net over F8 [i]
30Digital (8, 40, 35)-net over F8 [i]
31Digital (8, 41, 35)-net over F8 [i]
32Digital (8, 42, 35)-net over F8 [i]
33Digital (8, 43, 35)-net over F8 [i]
34Digital (8, 44, 35)-net over F8 [i]
35Digital (8, 45, 35)-net over F8 [i]
36Digital (8, 46, 35)-net over F8 [i]
37Digital (8, 47, 35)-net over F8 [i]
38Digital (8, 48, 35)-net over F8 [i]
39Digital (8, 49, 35)-net over F8 [i]
40Digital (8, 50, 35)-net over F8 [i]
41Digital (8, 51, 35)-net over F8 [i]
42Digital (8, 52, 35)-net over F8 [i]
43Digital (8, 53, 35)-net over F8 [i]
44Digital (8, 54, 35)-net over F8 [i]
45Digital (8, 55, 35)-net over F8 [i]
46Digital (8, 56, 35)-net over F8 [i]
47Digital (8, 57, 35)-net over F8 [i]
48Digital (8, 58, 35)-net over F8 [i]
49Digital (8, 59, 35)-net over F8 [i]
50Digital (8, 60, 35)-net over F8 [i]
51Digital (8, 61, 35)-net over F8 [i]
52Digital (8, 62, 35)-net over F8 [i]
53Digital (8, 63, 35)-net over F8 [i]
54Digital (8, 64, 35)-net over F8 [i]
55Digital (8, 65, 35)-net over F8 [i]
56Digital (8, 66, 35)-net over F8 [i]
57Digital (8, 67, 35)-net over F8 [i]
58Digital (8, 68, 35)-net over F8 [i]
59Digital (8, 69, 35)-net over F8 [i]
60Digital (8, 70, 35)-net over F8 [i]
61Digital (8, 71, 35)-net over F8 [i]
62Digital (8, 72, 35)-net over F8 [i]
63Digital (8, 73, 35)-net over F8 [i]
64Digital (8, 74, 35)-net over F8 [i]
65Digital (8, 75, 35)-net over F8 [i]
66Digital (8, 76, 35)-net over F8 [i]
67Digital (8, 77, 35)-net over F8 [i]
68Digital (8, 78, 35)-net over F8 [i]
69Digital (8, 79, 35)-net over F8 [i]
70Digital (8, 80, 35)-net over F8 [i]
71Digital (8, 81, 35)-net over F8 [i]
72Digital (8, 82, 35)-net over F8 [i]
73Digital (8, 83, 35)-net over F8 [i]
74Digital (8, 84, 35)-net over F8 [i]
75Digital (8, 85, 35)-net over F8 [i]
76Digital (8, 86, 35)-net over F8 [i]
77Digital (8, 87, 35)-net over F8 [i]
78Digital (8, 88, 35)-net over F8 [i]
79Digital (8, 89, 35)-net over F8 [i]
80Digital (8, 90, 35)-net over F8 [i]
81Digital (8, 91, 35)-net over F8 [i]
82Digital (8, 92, 35)-net over F8 [i]
83Digital (8, 93, 35)-net over F8 [i]
84Digital (8, 94, 35)-net over F8 [i]
85Digital (8, 95, 35)-net over F8 [i]
86Digital (8, 96, 35)-net over F8 [i]
87Digital (8, 97, 35)-net over F8 [i]
88Digital (8, 98, 35)-net over F8 [i]
89Digital (8, 99, 35)-net over F8 [i]
90Digital (8, 100, 35)-net over F8 [i]
91Digital (8, 101, 35)-net over F8 [i]
92Digital (8, 102, 35)-net over F8 [i]
93Digital (8, 103, 35)-net over F8 [i]
94Digital (8, 104, 35)-net over F8 [i]
95Digital (8, 105, 35)-net over F8 [i]
96Digital (8, 106, 35)-net over F8 [i]
97Digital (8, 107, 35)-net over F8 [i]
98Digital (8, 108, 35)-net over F8 [i]
99Digital (8, 109, 35)-net over F8 [i]
100Digital (8, 110, 35)-net over F8 [i]
101Digital (8, 111, 35)-net over F8 [i]
102Digital (8, 112, 35)-net over F8 [i]
103Digital (8, 113, 35)-net over F8 [i]
104Digital (8, 114, 35)-net over F8 [i]
105Digital (8, 115, 35)-net over F8 [i]
106Digital (8, 116, 35)-net over F8 [i]
107Digital (8, 117, 35)-net over F8 [i]
108Digital (8, 118, 35)-net over F8 [i]
109Digital (8, 119, 35)-net over F8 [i]
110Digital (8, 120, 35)-net over F8 [i]
111Digital (8, 121, 35)-net over F8 [i]
112Digital (8, 122, 35)-net over F8 [i]
113Digital (8, 123, 35)-net over F8 [i]
114Digital (8, 124, 35)-net over F8 [i]
115Digital (8, 125, 35)-net over F8 [i]
116Digital (8, 126, 35)-net over F8 [i]
117Digital (8, 127, 35)-net over F8 [i]
118Digital (8, 128, 35)-net over F8 [i]
119Digital (8, 129, 35)-net over F8 [i]
120Digital (8, 130, 35)-net over F8 [i]
121Digital (8, 131, 35)-net over F8 [i]
122Digital (8, 132, 35)-net over F8 [i]
123Digital (8, 133, 35)-net over F8 [i]
124Digital (8, 134, 35)-net over F8 [i]
125Digital (8, 135, 35)-net over F8 [i]
126Digital (8, 136, 35)-net over F8 [i]
127Digital (8, 137, 35)-net over F8 [i]
128Digital (8, 138, 35)-net over F8 [i]
129Digital (8, 139, 35)-net over F8 [i]
130Digital (8, 140, 35)-net over F8 [i]
131Digital (8, 141, 35)-net over F8 [i]
132Digital (8, 142, 35)-net over F8 [i]
133Digital (8, 143, 35)-net over F8 [i]
134Digital (8, 144, 35)-net over F8 [i]
135Digital (8, 145, 35)-net over F8 [i]
136Digital (8, 146, 35)-net over F8 [i]
137Digital (8, 147, 35)-net over F8 [i]
138Digital (8, 148, 35)-net over F8 [i]
139Digital (8, 149, 35)-net over F8 [i]
140Digital (8, 150, 35)-net over F8 [i]
141Digital (8, 151, 35)-net over F8 [i]
142Digital (8, 152, 35)-net over F8 [i]
143Digital (8, 153, 35)-net over F8 [i]
144Digital (8, 154, 35)-net over F8 [i]
145Digital (8, 155, 35)-net over F8 [i]
146Digital (8, 156, 35)-net over F8 [i]
147Digital (8, 157, 35)-net over F8 [i]
148Digital (8, 158, 35)-net over F8 [i]
149Digital (8, 159, 35)-net over F8 [i]
150Digital (8, 160, 35)-net over F8 [i]
151Digital (8, 161, 35)-net over F8 [i]
152Digital (8, 162, 35)-net over F8 [i]
153Digital (8, 163, 35)-net over F8 [i]
154Digital (8, 164, 35)-net over F8 [i]
155Digital (8, 165, 35)-net over F8 [i]
156Digital (8, 166, 35)-net over F8 [i]
157Digital (8, 167, 35)-net over F8 [i]
158Digital (8, 168, 35)-net over F8 [i]
159Digital (8, 169, 35)-net over F8 [i]
160Digital (8, 170, 35)-net over F8 [i]
161Digital (8, 171, 35)-net over F8 [i]
162Digital (8, 172, 35)-net over F8 [i]
163Digital (8, 173, 35)-net over F8 [i]
164Digital (8, m, 35)-net over F8 for arbitrarily large m [i]