Information on Result #601300

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