Information on Result #601121

Digital (4, 11)-sequence over F3, using Niederreiter–Xing sequence construction II/III based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, 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 (4, 7, 12)-net over F3 [i]Net from Sequence
2Digital (4, 8, 12)-net over F3 [i]
3Digital (4, 9, 12)-net over F3 [i]
4Digital (4, 10, 12)-net over F3 [i]
5Digital (4, 11, 12)-net over F3 [i]
6Digital (4, 12, 12)-net over F3 [i]
7Digital (4, 13, 12)-net over F3 [i]
8Digital (4, 14, 12)-net over F3 [i]
9Digital (4, 15, 12)-net over F3 [i]
10Digital (4, 16, 12)-net over F3 [i]
11Digital (4, 17, 12)-net over F3 [i]
12Digital (4, 18, 12)-net over F3 [i]
13Digital (4, 19, 12)-net over F3 [i]
14Digital (4, 20, 12)-net over F3 [i]
15Digital (4, 21, 12)-net over F3 [i]
16Digital (4, 22, 12)-net over F3 [i]
17Digital (4, 23, 12)-net over F3 [i]
18Digital (4, 24, 12)-net over F3 [i]
19Digital (4, 25, 12)-net over F3 [i]
20Digital (4, 26, 12)-net over F3 [i]
21Digital (4, 27, 12)-net over F3 [i]
22Digital (4, 28, 12)-net over F3 [i]
23Digital (4, 29, 12)-net over F3 [i]
24Digital (4, 30, 12)-net over F3 [i]
25Digital (4, 31, 12)-net over F3 [i]
26Digital (4, 32, 12)-net over F3 [i]
27Digital (4, 33, 12)-net over F3 [i]
28Digital (4, 34, 12)-net over F3 [i]
29Digital (4, 35, 12)-net over F3 [i]
30Digital (4, 36, 12)-net over F3 [i]
31Digital (4, 37, 12)-net over F3 [i]
32Digital (4, 38, 12)-net over F3 [i]
33Digital (4, 39, 12)-net over F3 [i]
34Digital (4, 40, 12)-net over F3 [i]
35Digital (4, 41, 12)-net over F3 [i]
36Digital (4, 42, 12)-net over F3 [i]
37Digital (4, 43, 12)-net over F3 [i]
38Digital (4, 44, 12)-net over F3 [i]
39Digital (4, 45, 12)-net over F3 [i]
40Digital (4, 46, 12)-net over F3 [i]
41Digital (4, 47, 12)-net over F3 [i]
42Digital (4, 48, 12)-net over F3 [i]
43Digital (4, 49, 12)-net over F3 [i]
44Digital (4, 50, 12)-net over F3 [i]
45Digital (4, 51, 12)-net over F3 [i]
46Digital (4, 52, 12)-net over F3 [i]
47Digital (4, 53, 12)-net over F3 [i]
48Digital (4, 54, 12)-net over F3 [i]
49Digital (4, 55, 12)-net over F3 [i]
50Digital (4, 56, 12)-net over F3 [i]
51Digital (4, 57, 12)-net over F3 [i]
52Digital (4, 58, 12)-net over F3 [i]
53Digital (4, 59, 12)-net over F3 [i]
54Digital (4, 60, 12)-net over F3 [i]
55Digital (4, 61, 12)-net over F3 [i]
56Digital (4, 62, 12)-net over F3 [i]
57Digital (4, 63, 12)-net over F3 [i]
58Digital (4, 64, 12)-net over F3 [i]
59Digital (4, 65, 12)-net over F3 [i]
60Digital (4, 66, 12)-net over F3 [i]
61Digital (4, 67, 12)-net over F3 [i]
62Digital (4, 68, 12)-net over F3 [i]
63Digital (4, 69, 12)-net over F3 [i]
64Digital (4, 70, 12)-net over F3 [i]
65Digital (4, 71, 12)-net over F3 [i]
66Digital (4, 72, 12)-net over F3 [i]
67Digital (4, 73, 12)-net over F3 [i]
68Digital (4, 74, 12)-net over F3 [i]
69Digital (4, 75, 12)-net over F3 [i]
70Digital (4, 76, 12)-net over F3 [i]
71Digital (4, 77, 12)-net over F3 [i]
72Digital (4, 78, 12)-net over F3 [i]
73Digital (4, 79, 12)-net over F3 [i]
74Digital (4, 80, 12)-net over F3 [i]
75Digital (4, 81, 12)-net over F3 [i]
76Digital (4, 82, 12)-net over F3 [i]
77Digital (4, 83, 12)-net over F3 [i]
78Digital (4, 84, 12)-net over F3 [i]
79Digital (4, 85, 12)-net over F3 [i]
80Digital (4, 86, 12)-net over F3 [i]
81Digital (4, 87, 12)-net over F3 [i]
82Digital (4, 88, 12)-net over F3 [i]
83Digital (4, 89, 12)-net over F3 [i]
84Digital (4, 90, 12)-net over F3 [i]
85Digital (4, 91, 12)-net over F3 [i]
86Digital (4, 92, 12)-net over F3 [i]
87Digital (4, 93, 12)-net over F3 [i]
88Digital (4, 94, 12)-net over F3 [i]
89Digital (4, 95, 12)-net over F3 [i]
90Digital (4, 96, 12)-net over F3 [i]
91Digital (4, 97, 12)-net over F3 [i]
92Digital (4, 98, 12)-net over F3 [i]
93Digital (4, 99, 12)-net over F3 [i]
94Digital (4, 100, 12)-net over F3 [i]
95Digital (4, 101, 12)-net over F3 [i]
96Digital (4, 102, 12)-net over F3 [i]
97Digital (4, 103, 12)-net over F3 [i]
98Digital (4, 104, 12)-net over F3 [i]
99Digital (4, 105, 12)-net over F3 [i]
100Digital (4, 106, 12)-net over F3 [i]
101Digital (4, 107, 12)-net over F3 [i]
102Digital (4, 108, 12)-net over F3 [i]
103Digital (4, 109, 12)-net over F3 [i]
104Digital (4, 110, 12)-net over F3 [i]
105Digital (4, 111, 12)-net over F3 [i]
106Digital (4, 112, 12)-net over F3 [i]
107Digital (4, 113, 12)-net over F3 [i]
108Digital (4, 114, 12)-net over F3 [i]
109Digital (4, 115, 12)-net over F3 [i]
110Digital (4, 116, 12)-net over F3 [i]
111Digital (4, 117, 12)-net over F3 [i]
112Digital (4, 118, 12)-net over F3 [i]
113Digital (4, 119, 12)-net over F3 [i]
114Digital (4, 120, 12)-net over F3 [i]
115Digital (4, 121, 12)-net over F3 [i]
116Digital (4, 122, 12)-net over F3 [i]
117Digital (4, 123, 12)-net over F3 [i]
118Digital (4, 124, 12)-net over F3 [i]
119Digital (4, 125, 12)-net over F3 [i]
120Digital (4, 126, 12)-net over F3 [i]
121Digital (4, 127, 12)-net over F3 [i]
122Digital (4, 128, 12)-net over F3 [i]
123Digital (4, 129, 12)-net over F3 [i]
124Digital (4, 130, 12)-net over F3 [i]
125Digital (4, 131, 12)-net over F3 [i]
126Digital (4, 132, 12)-net over F3 [i]
127Digital (4, 133, 12)-net over F3 [i]
128Digital (4, 134, 12)-net over F3 [i]
129Digital (4, 135, 12)-net over F3 [i]
130Digital (4, 136, 12)-net over F3 [i]
131Digital (4, 137, 12)-net over F3 [i]
132Digital (4, 138, 12)-net over F3 [i]
133Digital (4, 139, 12)-net over F3 [i]
134Digital (4, 140, 12)-net over F3 [i]
135Digital (4, 141, 12)-net over F3 [i]
136Digital (4, 142, 12)-net over F3 [i]
137Digital (4, 143, 12)-net over F3 [i]
138Digital (4, 144, 12)-net over F3 [i]
139Digital (4, 145, 12)-net over F3 [i]
140Digital (4, 146, 12)-net over F3 [i]
141Digital (4, 147, 12)-net over F3 [i]
142Digital (4, 148, 12)-net over F3 [i]
143Digital (4, 149, 12)-net over F3 [i]
144Digital (4, 150, 12)-net over F3 [i]
145Digital (4, 151, 12)-net over F3 [i]
146Digital (4, 152, 12)-net over F3 [i]
147Digital (4, 153, 12)-net over F3 [i]
148Digital (4, 154, 12)-net over F3 [i]
149Digital (4, 155, 12)-net over F3 [i]
150Digital (4, 156, 12)-net over F3 [i]
151Digital (4, 157, 12)-net over F3 [i]
152Digital (4, 158, 12)-net over F3 [i]
153Digital (4, 159, 12)-net over F3 [i]
154Digital (4, 160, 12)-net over F3 [i]
155Digital (4, 161, 12)-net over F3 [i]
156Digital (4, 162, 12)-net over F3 [i]
157Digital (4, 163, 12)-net over F3 [i]
158Digital (4, 164, 12)-net over F3 [i]
159Digital (4, 165, 12)-net over F3 [i]
160Digital (4, 166, 12)-net over F3 [i]
161Digital (4, 167, 12)-net over F3 [i]
162Digital (4, 168, 12)-net over F3 [i]
163Digital (4, 169, 12)-net over F3 [i]
164Digital (4, 170, 12)-net over F3 [i]
165Digital (4, 171, 12)-net over F3 [i]
166Digital (4, 172, 12)-net over F3 [i]
167Digital (4, 173, 12)-net over F3 [i]
168Digital (4, 174, 12)-net over F3 [i]
169Digital (4, 175, 12)-net over F3 [i]
170Digital (4, 176, 12)-net over F3 [i]
171Digital (4, 177, 12)-net over F3 [i]
172Digital (4, 178, 12)-net over F3 [i]
173Digital (4, 179, 12)-net over F3 [i]
174Digital (4, 180, 12)-net over F3 [i]
175Digital (4, 181, 12)-net over F3 [i]
176Digital (4, 182, 12)-net over F3 [i]
177Digital (4, 183, 12)-net over F3 [i]
178Digital (4, 184, 12)-net over F3 [i]
179Digital (4, 185, 12)-net over F3 [i]
180Digital (4, 186, 12)-net over F3 [i]
181Digital (4, 187, 12)-net over F3 [i]
182Digital (4, 188, 12)-net over F3 [i]
183Digital (4, 189, 12)-net over F3 [i]
184Digital (4, 190, 12)-net over F3 [i]
185Digital (4, 191, 12)-net over F3 [i]
186Digital (4, 192, 12)-net over F3 [i]
187Digital (4, 193, 12)-net over F3 [i]
188Digital (4, 194, 12)-net over F3 [i]
189Digital (4, 195, 12)-net over F3 [i]
190Digital (4, 196, 12)-net over F3 [i]
191Digital (4, 197, 12)-net over F3 [i]
192Digital (4, 198, 12)-net over F3 [i]
193Digital (4, 199, 12)-net over F3 [i]
194Digital (4, 200, 12)-net over F3 [i]
195Digital (4, 201, 12)-net over F3 [i]
196Digital (4, 202, 12)-net over F3 [i]
197Digital (4, 203, 12)-net over F3 [i]
198Digital (4, 204, 12)-net over F3 [i]
199Digital (4, 205, 12)-net over F3 [i]
200Digital (4, 206, 12)-net over F3 [i]
201Digital (4, 207, 12)-net over F3 [i]
202Digital (4, 208, 12)-net over F3 [i]
203Digital (4, 209, 12)-net over F3 [i]
204Digital (4, 210, 12)-net over F3 [i]
205Digital (4, 211, 12)-net over F3 [i]
206Digital (4, 212, 12)-net over F3 [i]
207Digital (4, 213, 12)-net over F3 [i]
208Digital (4, 214, 12)-net over F3 [i]
209Digital (4, 215, 12)-net over F3 [i]
210Digital (4, 216, 12)-net over F3 [i]
211Digital (4, 217, 12)-net over F3 [i]
212Digital (4, 218, 12)-net over F3 [i]
213Digital (4, 219, 12)-net over F3 [i]
214Digital (4, 220, 12)-net over F3 [i]
215Digital (4, 221, 12)-net over F3 [i]
216Digital (4, 222, 12)-net over F3 [i]
217Digital (4, 223, 12)-net over F3 [i]
218Digital (4, 224, 12)-net over F3 [i]
219Digital (4, 225, 12)-net over F3 [i]
220Digital (4, 226, 12)-net over F3 [i]
221Digital (4, 227, 12)-net over F3 [i]
222Digital (4, 228, 12)-net over F3 [i]
223Digital (4, 229, 12)-net over F3 [i]
224Digital (4, 230, 12)-net over F3 [i]
225Digital (4, 231, 12)-net over F3 [i]
226Digital (4, 232, 12)-net over F3 [i]
227Digital (4, 233, 12)-net over F3 [i]
228Digital (4, 234, 12)-net over F3 [i]
229Digital (4, 235, 12)-net over F3 [i]
230Digital (4, 236, 12)-net over F3 [i]
231Digital (4, 237, 12)-net over F3 [i]
232Digital (4, 238, 12)-net over F3 [i]
233Digital (4, 239, 12)-net over F3 [i]
234Digital (4, 240, 12)-net over F3 [i]
235Digital (4, 241, 12)-net over F3 [i]
236Digital (4, 242, 12)-net over F3 [i]
237Digital (4, 243, 12)-net over F3 [i]
238Digital (4, 244, 12)-net over F3 [i]
239Digital (4, 245, 12)-net over F3 [i]
240Digital (4, 246, 12)-net over F3 [i]
241Digital (4, 247, 12)-net over F3 [i]
242Digital (4, 248, 12)-net over F3 [i]
243Digital (4, 249, 12)-net over F3 [i]
244Digital (4, 250, 12)-net over F3 [i]
245Digital (4, m, 12)-net over F3 for arbitrarily large m [i]