Information on Result #601135

Digital (2, 9)-sequence over F4, using Niederreiter–Xing sequence construction II/III based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, using

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 (2, 5, 10)-net over F4 [i]Net from Sequence
2Digital (2, 6, 10)-net over F4 [i]
3Digital (2, 7, 10)-net over F4 [i]
4Digital (2, 8, 10)-net over F4 [i]
5Digital (2, 9, 10)-net over F4 [i]
6Digital (2, 10, 10)-net over F4 [i]
7Digital (2, 11, 10)-net over F4 [i]
8Digital (2, 12, 10)-net over F4 [i]
9Digital (2, 13, 10)-net over F4 [i]
10Digital (2, 14, 10)-net over F4 [i]
11Digital (2, 15, 10)-net over F4 [i]
12Digital (2, 16, 10)-net over F4 [i]
13Digital (2, 17, 10)-net over F4 [i]
14Digital (2, 18, 10)-net over F4 [i]
15Digital (2, 19, 10)-net over F4 [i]
16Digital (2, 20, 10)-net over F4 [i]
17Digital (2, 21, 10)-net over F4 [i]
18Digital (2, 22, 10)-net over F4 [i]
19Digital (2, 23, 10)-net over F4 [i]
20Digital (2, 24, 10)-net over F4 [i]
21Digital (2, 25, 10)-net over F4 [i]
22Digital (2, 26, 10)-net over F4 [i]
23Digital (2, 27, 10)-net over F4 [i]
24Digital (2, 28, 10)-net over F4 [i]
25Digital (2, 29, 10)-net over F4 [i]
26Digital (2, 30, 10)-net over F4 [i]
27Digital (2, 31, 10)-net over F4 [i]
28Digital (2, 32, 10)-net over F4 [i]
29Digital (2, 33, 10)-net over F4 [i]
30Digital (2, 34, 10)-net over F4 [i]
31Digital (2, 35, 10)-net over F4 [i]
32Digital (2, 36, 10)-net over F4 [i]
33Digital (2, 37, 10)-net over F4 [i]
34Digital (2, 38, 10)-net over F4 [i]
35Digital (2, 39, 10)-net over F4 [i]
36Digital (2, 40, 10)-net over F4 [i]
37Digital (2, 41, 10)-net over F4 [i]
38Digital (2, 42, 10)-net over F4 [i]
39Digital (2, 43, 10)-net over F4 [i]
40Digital (2, 44, 10)-net over F4 [i]
41Digital (2, 45, 10)-net over F4 [i]
42Digital (2, 46, 10)-net over F4 [i]
43Digital (2, 47, 10)-net over F4 [i]
44Digital (2, 48, 10)-net over F4 [i]
45Digital (2, 49, 10)-net over F4 [i]
46Digital (2, 50, 10)-net over F4 [i]
47Digital (2, 51, 10)-net over F4 [i]
48Digital (2, 52, 10)-net over F4 [i]
49Digital (2, 53, 10)-net over F4 [i]
50Digital (2, 54, 10)-net over F4 [i]
51Digital (2, 55, 10)-net over F4 [i]
52Digital (2, 56, 10)-net over F4 [i]
53Digital (2, 57, 10)-net over F4 [i]
54Digital (2, 58, 10)-net over F4 [i]
55Digital (2, 59, 10)-net over F4 [i]
56Digital (2, 60, 10)-net over F4 [i]
57Digital (2, 61, 10)-net over F4 [i]
58Digital (2, 62, 10)-net over F4 [i]
59Digital (2, 63, 10)-net over F4 [i]
60Digital (2, 64, 10)-net over F4 [i]
61Digital (2, 65, 10)-net over F4 [i]
62Digital (2, 66, 10)-net over F4 [i]
63Digital (2, 67, 10)-net over F4 [i]
64Digital (2, 68, 10)-net over F4 [i]
65Digital (2, 69, 10)-net over F4 [i]
66Digital (2, 70, 10)-net over F4 [i]
67Digital (2, 71, 10)-net over F4 [i]
68Digital (2, 72, 10)-net over F4 [i]
69Digital (2, 73, 10)-net over F4 [i]
70Digital (2, 74, 10)-net over F4 [i]
71Digital (2, 75, 10)-net over F4 [i]
72Digital (2, 76, 10)-net over F4 [i]
73Digital (2, 77, 10)-net over F4 [i]
74Digital (2, 78, 10)-net over F4 [i]
75Digital (2, 79, 10)-net over F4 [i]
76Digital (2, 80, 10)-net over F4 [i]
77Digital (2, 81, 10)-net over F4 [i]
78Digital (2, 82, 10)-net over F4 [i]
79Digital (2, 83, 10)-net over F4 [i]
80Digital (2, 84, 10)-net over F4 [i]
81Digital (2, 85, 10)-net over F4 [i]
82Digital (2, 86, 10)-net over F4 [i]
83Digital (2, 87, 10)-net over F4 [i]
84Digital (2, 88, 10)-net over F4 [i]
85Digital (2, 89, 10)-net over F4 [i]
86Digital (2, 90, 10)-net over F4 [i]
87Digital (2, 91, 10)-net over F4 [i]
88Digital (2, 92, 10)-net over F4 [i]
89Digital (2, 93, 10)-net over F4 [i]
90Digital (2, 94, 10)-net over F4 [i]
91Digital (2, 95, 10)-net over F4 [i]
92Digital (2, 96, 10)-net over F4 [i]
93Digital (2, 97, 10)-net over F4 [i]
94Digital (2, 98, 10)-net over F4 [i]
95Digital (2, 99, 10)-net over F4 [i]
96Digital (2, 100, 10)-net over F4 [i]
97Digital (2, 101, 10)-net over F4 [i]
98Digital (2, 102, 10)-net over F4 [i]
99Digital (2, 103, 10)-net over F4 [i]
100Digital (2, 104, 10)-net over F4 [i]
101Digital (2, 105, 10)-net over F4 [i]
102Digital (2, 106, 10)-net over F4 [i]
103Digital (2, 107, 10)-net over F4 [i]
104Digital (2, 108, 10)-net over F4 [i]
105Digital (2, 109, 10)-net over F4 [i]
106Digital (2, 110, 10)-net over F4 [i]
107Digital (2, 111, 10)-net over F4 [i]
108Digital (2, 112, 10)-net over F4 [i]
109Digital (2, 113, 10)-net over F4 [i]
110Digital (2, 114, 10)-net over F4 [i]
111Digital (2, 115, 10)-net over F4 [i]
112Digital (2, 116, 10)-net over F4 [i]
113Digital (2, 117, 10)-net over F4 [i]
114Digital (2, 118, 10)-net over F4 [i]
115Digital (2, 119, 10)-net over F4 [i]
116Digital (2, 120, 10)-net over F4 [i]
117Digital (2, 121, 10)-net over F4 [i]
118Digital (2, 122, 10)-net over F4 [i]
119Digital (2, 123, 10)-net over F4 [i]
120Digital (2, 124, 10)-net over F4 [i]
121Digital (2, 125, 10)-net over F4 [i]
122Digital (2, 126, 10)-net over F4 [i]
123Digital (2, 127, 10)-net over F4 [i]
124Digital (2, 128, 10)-net over F4 [i]
125Digital (2, 129, 10)-net over F4 [i]
126Digital (2, 130, 10)-net over F4 [i]
127Digital (2, 131, 10)-net over F4 [i]
128Digital (2, 132, 10)-net over F4 [i]
129Digital (2, 133, 10)-net over F4 [i]
130Digital (2, 134, 10)-net over F4 [i]
131Digital (2, 135, 10)-net over F4 [i]
132Digital (2, 136, 10)-net over F4 [i]
133Digital (2, 137, 10)-net over F4 [i]
134Digital (2, 138, 10)-net over F4 [i]
135Digital (2, 139, 10)-net over F4 [i]
136Digital (2, 140, 10)-net over F4 [i]
137Digital (2, 141, 10)-net over F4 [i]
138Digital (2, 142, 10)-net over F4 [i]
139Digital (2, 143, 10)-net over F4 [i]
140Digital (2, 144, 10)-net over F4 [i]
141Digital (2, 145, 10)-net over F4 [i]
142Digital (2, 146, 10)-net over F4 [i]
143Digital (2, 147, 10)-net over F4 [i]
144Digital (2, 148, 10)-net over F4 [i]
145Digital (2, 149, 10)-net over F4 [i]
146Digital (2, 150, 10)-net over F4 [i]
147Digital (2, 151, 10)-net over F4 [i]
148Digital (2, 152, 10)-net over F4 [i]
149Digital (2, 153, 10)-net over F4 [i]
150Digital (2, 154, 10)-net over F4 [i]
151Digital (2, 155, 10)-net over F4 [i]
152Digital (2, 156, 10)-net over F4 [i]
153Digital (2, 157, 10)-net over F4 [i]
154Digital (2, 158, 10)-net over F4 [i]
155Digital (2, 159, 10)-net over F4 [i]
156Digital (2, 160, 10)-net over F4 [i]
157Digital (2, 161, 10)-net over F4 [i]
158Digital (2, 162, 10)-net over F4 [i]
159Digital (2, 163, 10)-net over F4 [i]
160Digital (2, 164, 10)-net over F4 [i]
161Digital (2, 165, 10)-net over F4 [i]
162Digital (2, 166, 10)-net over F4 [i]
163Digital (2, 167, 10)-net over F4 [i]
164Digital (2, 168, 10)-net over F4 [i]
165Digital (2, 169, 10)-net over F4 [i]
166Digital (2, 170, 10)-net over F4 [i]
167Digital (2, 171, 10)-net over F4 [i]
168Digital (2, 172, 10)-net over F4 [i]
169Digital (2, 173, 10)-net over F4 [i]
170Digital (2, 174, 10)-net over F4 [i]
171Digital (2, 175, 10)-net over F4 [i]
172Digital (2, 176, 10)-net over F4 [i]
173Digital (2, 177, 10)-net over F4 [i]
174Digital (2, 178, 10)-net over F4 [i]
175Digital (2, 179, 10)-net over F4 [i]
176Digital (2, 180, 10)-net over F4 [i]
177Digital (2, 181, 10)-net over F4 [i]
178Digital (2, 182, 10)-net over F4 [i]
179Digital (2, 183, 10)-net over F4 [i]
180Digital (2, 184, 10)-net over F4 [i]
181Digital (2, 185, 10)-net over F4 [i]
182Digital (2, 186, 10)-net over F4 [i]
183Digital (2, 187, 10)-net over F4 [i]
184Digital (2, 188, 10)-net over F4 [i]
185Digital (2, 189, 10)-net over F4 [i]
186Digital (2, 190, 10)-net over F4 [i]
187Digital (2, 191, 10)-net over F4 [i]
188Digital (2, 192, 10)-net over F4 [i]
189Digital (2, 193, 10)-net over F4 [i]
190Digital (2, 194, 10)-net over F4 [i]
191Digital (2, 195, 10)-net over F4 [i]
192Digital (2, 196, 10)-net over F4 [i]
193Digital (2, 197, 10)-net over F4 [i]
194Digital (2, 198, 10)-net over F4 [i]
195Digital (2, 199, 10)-net over F4 [i]
196Digital (2, 200, 10)-net over F4 [i]
197Digital (2, 201, 10)-net over F4 [i]
198Digital (2, 202, 10)-net over F4 [i]
199Digital (2, 203, 10)-net over F4 [i]
200Digital (2, 204, 10)-net over F4 [i]
201Digital (2, 205, 10)-net over F4 [i]
202Digital (2, 206, 10)-net over F4 [i]
203Digital (2, 207, 10)-net over F4 [i]
204Digital (2, 208, 10)-net over F4 [i]
205Digital (2, 209, 10)-net over F4 [i]
206Digital (2, 210, 10)-net over F4 [i]
207Digital (2, 211, 10)-net over F4 [i]
208Digital (2, 212, 10)-net over F4 [i]
209Digital (2, 213, 10)-net over F4 [i]
210Digital (2, 214, 10)-net over F4 [i]
211Digital (2, 215, 10)-net over F4 [i]
212Digital (2, 216, 10)-net over F4 [i]
213Digital (2, 217, 10)-net over F4 [i]
214Digital (2, 218, 10)-net over F4 [i]
215Digital (2, 219, 10)-net over F4 [i]
216Digital (2, 220, 10)-net over F4 [i]
217Digital (2, 221, 10)-net over F4 [i]
218Digital (2, 222, 10)-net over F4 [i]
219Digital (2, 223, 10)-net over F4 [i]
220Digital (2, 224, 10)-net over F4 [i]
221Digital (2, 225, 10)-net over F4 [i]
222Digital (2, 226, 10)-net over F4 [i]
223Digital (2, 227, 10)-net over F4 [i]
224Digital (2, 228, 10)-net over F4 [i]
225Digital (2, 229, 10)-net over F4 [i]
226Digital (2, 230, 10)-net over F4 [i]
227Digital (2, 231, 10)-net over F4 [i]
228Digital (2, 232, 10)-net over F4 [i]
229Digital (2, 233, 10)-net over F4 [i]
230Digital (2, 234, 10)-net over F4 [i]
231Digital (2, 235, 10)-net over F4 [i]
232Digital (2, 236, 10)-net over F4 [i]
233Digital (2, 237, 10)-net over F4 [i]
234Digital (2, 238, 10)-net over F4 [i]
235Digital (2, 239, 10)-net over F4 [i]
236Digital (2, 240, 10)-net over F4 [i]
237Digital (2, 241, 10)-net over F4 [i]
238Digital (2, 242, 10)-net over F4 [i]
239Digital (2, 243, 10)-net over F4 [i]
240Digital (2, 244, 10)-net over F4 [i]
241Digital (2, 245, 10)-net over F4 [i]
242Digital (2, 246, 10)-net over F4 [i]
243Digital (2, 247, 10)-net over F4 [i]
244Digital (2, 248, 10)-net over F4 [i]
245Digital (2, 249, 10)-net over F4 [i]
246Digital (2, 250, 10)-net over F4 [i]
247Digital (2, 251, 10)-net over F4 [i]
248Digital (2, 252, 10)-net over F4 [i]
249Digital (2, 253, 10)-net over F4 [i]
250Digital (2, 254, 10)-net over F4 [i]
251Digital (2, 255, 10)-net over F4 [i]
252Digital (2, 256, 10)-net over F4 [i]
253Digital (2, 257, 10)-net over F4 [i]
254Digital (2, 258, 10)-net over F4 [i]
255Digital (2, 259, 10)-net over F4 [i]
256Digital (2, 260, 10)-net over F4 [i]
257Digital (2, m, 10)-net over F4 for arbitrarily large m [i]