Information on Result #601301

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