Information on Result #601299

Digital (100, 54)-sequence over F2, using Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 6 places with degree 6 based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, 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 (101, 54)-sequence over F2 [i]t-Expansion for Sequences
2Digital (102, 54)-sequence over F2 [i]
3Digital (103, 54)-sequence over F2 [i]
4Digital (104, 54)-sequence over F2 [i]
5Digital (100, 103, 55)-net over F2 [i]Net from Sequence
6Digital (100, 104, 55)-net over F2 [i]
7Digital (100, 105, 55)-net over F2 [i]
8Digital (100, 106, 55)-net over F2 [i]
9Digital (100, 107, 55)-net over F2 [i]
10Digital (100, 108, 55)-net over F2 [i]
11Digital (100, 109, 55)-net over F2 [i]
12Digital (100, 110, 55)-net over F2 [i]
13Digital (100, 111, 55)-net over F2 [i]
14Digital (100, 112, 55)-net over F2 [i]
15Digital (100, 113, 55)-net over F2 [i]
16Digital (100, 114, 55)-net over F2 [i]
17Digital (100, 115, 55)-net over F2 [i]
18Digital (100, 116, 55)-net over F2 [i]
19Digital (100, 117, 55)-net over F2 [i]
20Digital (100, 118, 55)-net over F2 [i]
21Digital (100, 119, 55)-net over F2 [i]
22Digital (100, 120, 55)-net over F2 [i]
23Digital (100, 121, 55)-net over F2 [i]
24Digital (100, 122, 55)-net over F2 [i]
25Digital (100, 123, 55)-net over F2 [i]
26Digital (100, 124, 55)-net over F2 [i]
27Digital (100, 125, 55)-net over F2 [i]
28Digital (100, 126, 55)-net over F2 [i]
29Digital (100, 127, 55)-net over F2 [i]
30Digital (100, 128, 55)-net over F2 [i]
31Digital (100, 129, 55)-net over F2 [i]
32Digital (100, 130, 55)-net over F2 [i]
33Digital (100, 131, 55)-net over F2 [i]
34Digital (100, 132, 55)-net over F2 [i]
35Digital (100, 133, 55)-net over F2 [i]
36Digital (100, 134, 55)-net over F2 [i]
37Digital (100, 135, 55)-net over F2 [i]
38Digital (100, 136, 55)-net over F2 [i]
39Digital (100, 137, 55)-net over F2 [i]
40Digital (100, 138, 55)-net over F2 [i]
41Digital (100, 139, 55)-net over F2 [i]
42Digital (100, 140, 55)-net over F2 [i]
43Digital (100, 141, 55)-net over F2 [i]
44Digital (100, 142, 55)-net over F2 [i]
45Digital (100, 143, 55)-net over F2 [i]
46Digital (100, 144, 55)-net over F2 [i]
47Digital (100, 145, 55)-net over F2 [i]
48Digital (100, 146, 55)-net over F2 [i]
49Digital (100, 147, 55)-net over F2 [i]
50Digital (100, 148, 55)-net over F2 [i]
51Digital (100, 149, 55)-net over F2 [i]
52Digital (100, 150, 55)-net over F2 [i]
53Digital (100, 151, 55)-net over F2 [i]
54Digital (100, 152, 55)-net over F2 [i]
55Digital (100, 153, 55)-net over F2 [i]
56Digital (100, 154, 55)-net over F2 [i]
57Digital (100, 155, 55)-net over F2 [i]
58Digital (100, 156, 55)-net over F2 [i]
59Digital (100, 157, 55)-net over F2 [i]
60Digital (100, 158, 55)-net over F2 [i]
61Digital (100, 159, 55)-net over F2 [i]
62Digital (100, 160, 55)-net over F2 [i]
63Digital (100, 161, 55)-net over F2 [i]
64Digital (100, 162, 55)-net over F2 [i]
65Digital (100, 163, 55)-net over F2 [i]
66Digital (100, 164, 55)-net over F2 [i]
67Digital (100, 165, 55)-net over F2 [i]
68Digital (100, 166, 55)-net over F2 [i]
69Digital (100, 167, 55)-net over F2 [i]
70Digital (100, 168, 55)-net over F2 [i]
71Digital (100, 169, 55)-net over F2 [i]
72Digital (100, 170, 55)-net over F2 [i]
73Digital (100, 171, 55)-net over F2 [i]
74Digital (100, 172, 55)-net over F2 [i]
75Digital (100, 173, 55)-net over F2 [i]
76Digital (100, 174, 55)-net over F2 [i]
77Digital (100, 175, 55)-net over F2 [i]
78Digital (100, 176, 55)-net over F2 [i]
79Digital (100, 177, 55)-net over F2 [i]
80Digital (100, 178, 55)-net over F2 [i]
81Digital (100, 179, 55)-net over F2 [i]
82Digital (100, 180, 55)-net over F2 [i]
83Digital (100, 181, 55)-net over F2 [i]
84Digital (100, 182, 55)-net over F2 [i]
85Digital (100, 183, 55)-net over F2 [i]
86Digital (100, 184, 55)-net over F2 [i]
87Digital (100, 185, 55)-net over F2 [i]
88Digital (100, 186, 55)-net over F2 [i]
89Digital (100, 187, 55)-net over F2 [i]
90Digital (100, 188, 55)-net over F2 [i]
91Digital (100, 189, 55)-net over F2 [i]
92Digital (100, 190, 55)-net over F2 [i]
93Digital (100, 191, 55)-net over F2 [i]
94Digital (100, 192, 55)-net over F2 [i]
95Digital (100, 193, 55)-net over F2 [i]
96Digital (100, 194, 55)-net over F2 [i]
97Digital (100, 195, 55)-net over F2 [i]
98Digital (100, 196, 55)-net over F2 [i]
99Digital (100, 197, 55)-net over F2 [i]
100Digital (100, 198, 55)-net over F2 [i]
101Digital (100, 199, 55)-net over F2 [i]
102Digital (100, 200, 55)-net over F2 [i]
103Digital (100, 201, 55)-net over F2 [i]
104Digital (100, 202, 55)-net over F2 [i]
105Digital (100, 203, 55)-net over F2 [i]
106Digital (100, 204, 55)-net over F2 [i]
107Digital (100, 205, 55)-net over F2 [i]
108Digital (100, 206, 55)-net over F2 [i]
109Digital (100, 207, 55)-net over F2 [i]
110Digital (100, 208, 55)-net over F2 [i]
111Digital (100, 209, 55)-net over F2 [i]
112Digital (100, 210, 55)-net over F2 [i]
113Digital (100, 211, 55)-net over F2 [i]
114Digital (100, 212, 55)-net over F2 [i]
115Digital (100, 213, 55)-net over F2 [i]
116Digital (100, 214, 55)-net over F2 [i]
117Digital (100, 215, 55)-net over F2 [i]
118Digital (100, 216, 55)-net over F2 [i]
119Digital (100, 217, 55)-net over F2 [i]
120Digital (100, 218, 55)-net over F2 [i]
121Digital (100, 219, 55)-net over F2 [i]
122Digital (100, 220, 55)-net over F2 [i]
123Digital (100, 221, 55)-net over F2 [i]
124Digital (100, 222, 55)-net over F2 [i]
125Digital (100, 223, 55)-net over F2 [i]
126Digital (100, 224, 55)-net over F2 [i]
127Digital (100, 225, 55)-net over F2 [i]
128Digital (100, 226, 55)-net over F2 [i]
129Digital (100, 227, 55)-net over F2 [i]
130Digital (100, 228, 55)-net over F2 [i]
131Digital (100, 229, 55)-net over F2 [i]
132Digital (100, 230, 55)-net over F2 [i]
133Digital (100, 231, 55)-net over F2 [i]
134Digital (100, 232, 55)-net over F2 [i]
135Digital (100, 233, 55)-net over F2 [i]
136Digital (100, 234, 55)-net over F2 [i]
137Digital (100, 235, 55)-net over F2 [i]
138Digital (100, 236, 55)-net over F2 [i]
139Digital (100, 237, 55)-net over F2 [i]
140Digital (100, 238, 55)-net over F2 [i]
141Digital (100, 239, 55)-net over F2 [i]
142Digital (100, 240, 55)-net over F2 [i]
143Digital (100, 241, 55)-net over F2 [i]
144Digital (100, 242, 55)-net over F2 [i]
145Digital (100, 243, 55)-net over F2 [i]
146Digital (100, 244, 55)-net over F2 [i]
147Digital (100, 245, 55)-net over F2 [i]
148Digital (100, 246, 55)-net over F2 [i]
149Digital (100, 247, 55)-net over F2 [i]
150Digital (100, 248, 55)-net over F2 [i]
151Digital (100, 249, 55)-net over F2 [i]
152Digital (100, 250, 55)-net over F2 [i]
153Digital (100, 251, 55)-net over F2 [i]
154Digital (100, 252, 55)-net over F2 [i]
155Digital (100, 253, 55)-net over F2 [i]
156Digital (100, 254, 55)-net over F2 [i]
157Digital (100, 255, 55)-net over F2 [i]
158Digital (100, 256, 55)-net over F2 [i]
159Digital (100, 257, 55)-net over F2 [i]
160Digital (100, 258, 55)-net over F2 [i]
161Digital (100, 259, 55)-net over F2 [i]
162Digital (100, 260, 55)-net over F2 [i]
163Digital (100, m, 55)-net over F2 for arbitrarily large m [i]