Information on Result #601297

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