Information on Result #601291

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