Information on Result #1235734

Digital (2, 17)-sequence over F8, using Niederreiter–Xing sequence construction II/III based on function field F/F8 with g(F) = 2 and N(F) ≥ 18, using

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