Information on Result #601302

Digital (5, 12)-sequence over F3, using Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, 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 (5, 8, 13)-net over F3 [i]Net from Sequence
2Digital (5, 9, 13)-net over F3 [i]
3Digital (5, 10, 13)-net over F3 [i]
4Digital (5, 11, 13)-net over F3 [i]
5Digital (5, 12, 13)-net over F3 [i]
6Digital (5, 13, 13)-net over F3 [i]
7Digital (5, 14, 13)-net over F3 [i]
8Digital (5, 15, 13)-net over F3 [i]
9Digital (5, 16, 13)-net over F3 [i]
10Digital (5, 17, 13)-net over F3 [i]
11Digital (5, 18, 13)-net over F3 [i]
12Digital (5, 19, 13)-net over F3 [i]
13Digital (5, 20, 13)-net over F3 [i]
14Digital (5, 21, 13)-net over F3 [i]
15Digital (5, 22, 13)-net over F3 [i]
16Digital (5, 23, 13)-net over F3 [i]
17Digital (5, 24, 13)-net over F3 [i]
18Digital (5, 25, 13)-net over F3 [i]
19Digital (5, 26, 13)-net over F3 [i]
20Digital (5, 27, 13)-net over F3 [i]
21Digital (5, 28, 13)-net over F3 [i]
22Digital (5, 29, 13)-net over F3 [i]
23Digital (5, 30, 13)-net over F3 [i]
24Digital (5, 31, 13)-net over F3 [i]
25Digital (5, 32, 13)-net over F3 [i]
26Digital (5, 33, 13)-net over F3 [i]
27Digital (5, 34, 13)-net over F3 [i]
28Digital (5, 35, 13)-net over F3 [i]
29Digital (5, 36, 13)-net over F3 [i]
30Digital (5, 37, 13)-net over F3 [i]
31Digital (5, 38, 13)-net over F3 [i]
32Digital (5, 39, 13)-net over F3 [i]
33Digital (5, 40, 13)-net over F3 [i]
34Digital (5, 41, 13)-net over F3 [i]
35Digital (5, 42, 13)-net over F3 [i]
36Digital (5, 43, 13)-net over F3 [i]
37Digital (5, 44, 13)-net over F3 [i]
38Digital (5, 45, 13)-net over F3 [i]
39Digital (5, 46, 13)-net over F3 [i]
40Digital (5, 47, 13)-net over F3 [i]
41Digital (5, 48, 13)-net over F3 [i]
42Digital (5, 49, 13)-net over F3 [i]
43Digital (5, 50, 13)-net over F3 [i]
44Digital (5, 51, 13)-net over F3 [i]
45Digital (5, 52, 13)-net over F3 [i]
46Digital (5, 53, 13)-net over F3 [i]
47Digital (5, 54, 13)-net over F3 [i]
48Digital (5, 55, 13)-net over F3 [i]
49Digital (5, 56, 13)-net over F3 [i]
50Digital (5, 57, 13)-net over F3 [i]
51Digital (5, 58, 13)-net over F3 [i]
52Digital (5, 59, 13)-net over F3 [i]
53Digital (5, 60, 13)-net over F3 [i]
54Digital (5, 61, 13)-net over F3 [i]
55Digital (5, 62, 13)-net over F3 [i]
56Digital (5, 63, 13)-net over F3 [i]
57Digital (5, 64, 13)-net over F3 [i]
58Digital (5, 65, 13)-net over F3 [i]
59Digital (5, 66, 13)-net over F3 [i]
60Digital (5, 67, 13)-net over F3 [i]
61Digital (5, 68, 13)-net over F3 [i]
62Digital (5, 69, 13)-net over F3 [i]
63Digital (5, 70, 13)-net over F3 [i]
64Digital (5, 71, 13)-net over F3 [i]
65Digital (5, 72, 13)-net over F3 [i]
66Digital (5, 73, 13)-net over F3 [i]
67Digital (5, 74, 13)-net over F3 [i]
68Digital (5, 75, 13)-net over F3 [i]
69Digital (5, 76, 13)-net over F3 [i]
70Digital (5, 77, 13)-net over F3 [i]
71Digital (5, 78, 13)-net over F3 [i]
72Digital (5, 79, 13)-net over F3 [i]
73Digital (5, 80, 13)-net over F3 [i]
74Digital (5, 81, 13)-net over F3 [i]
75Digital (5, 82, 13)-net over F3 [i]
76Digital (5, 83, 13)-net over F3 [i]
77Digital (5, 84, 13)-net over F3 [i]
78Digital (5, 85, 13)-net over F3 [i]
79Digital (5, 86, 13)-net over F3 [i]
80Digital (5, 87, 13)-net over F3 [i]
81Digital (5, 88, 13)-net over F3 [i]
82Digital (5, 89, 13)-net over F3 [i]
83Digital (5, 90, 13)-net over F3 [i]
84Digital (5, 91, 13)-net over F3 [i]
85Digital (5, 92, 13)-net over F3 [i]
86Digital (5, 93, 13)-net over F3 [i]
87Digital (5, 94, 13)-net over F3 [i]
88Digital (5, 95, 13)-net over F3 [i]
89Digital (5, 96, 13)-net over F3 [i]
90Digital (5, 97, 13)-net over F3 [i]
91Digital (5, 98, 13)-net over F3 [i]
92Digital (5, 99, 13)-net over F3 [i]
93Digital (5, 100, 13)-net over F3 [i]
94Digital (5, 101, 13)-net over F3 [i]
95Digital (5, 102, 13)-net over F3 [i]
96Digital (5, 103, 13)-net over F3 [i]
97Digital (5, 104, 13)-net over F3 [i]
98Digital (5, 105, 13)-net over F3 [i]
99Digital (5, 106, 13)-net over F3 [i]
100Digital (5, 107, 13)-net over F3 [i]
101Digital (5, 108, 13)-net over F3 [i]
102Digital (5, 109, 13)-net over F3 [i]
103Digital (5, 110, 13)-net over F3 [i]
104Digital (5, 111, 13)-net over F3 [i]
105Digital (5, 112, 13)-net over F3 [i]
106Digital (5, 113, 13)-net over F3 [i]
107Digital (5, 114, 13)-net over F3 [i]
108Digital (5, 115, 13)-net over F3 [i]
109Digital (5, 116, 13)-net over F3 [i]
110Digital (5, 117, 13)-net over F3 [i]
111Digital (5, 118, 13)-net over F3 [i]
112Digital (5, 119, 13)-net over F3 [i]
113Digital (5, 120, 13)-net over F3 [i]
114Digital (5, 121, 13)-net over F3 [i]
115Digital (5, 122, 13)-net over F3 [i]
116Digital (5, 123, 13)-net over F3 [i]
117Digital (5, 124, 13)-net over F3 [i]
118Digital (5, 125, 13)-net over F3 [i]
119Digital (5, 126, 13)-net over F3 [i]
120Digital (5, 127, 13)-net over F3 [i]
121Digital (5, 128, 13)-net over F3 [i]
122Digital (5, 129, 13)-net over F3 [i]
123Digital (5, 130, 13)-net over F3 [i]
124Digital (5, 131, 13)-net over F3 [i]
125Digital (5, 132, 13)-net over F3 [i]
126Digital (5, 133, 13)-net over F3 [i]
127Digital (5, 134, 13)-net over F3 [i]
128Digital (5, 135, 13)-net over F3 [i]
129Digital (5, 136, 13)-net over F3 [i]
130Digital (5, 137, 13)-net over F3 [i]
131Digital (5, 138, 13)-net over F3 [i]
132Digital (5, 139, 13)-net over F3 [i]
133Digital (5, 140, 13)-net over F3 [i]
134Digital (5, 141, 13)-net over F3 [i]
135Digital (5, 142, 13)-net over F3 [i]
136Digital (5, 143, 13)-net over F3 [i]
137Digital (5, 144, 13)-net over F3 [i]
138Digital (5, 145, 13)-net over F3 [i]
139Digital (5, 146, 13)-net over F3 [i]
140Digital (5, 147, 13)-net over F3 [i]
141Digital (5, 148, 13)-net over F3 [i]
142Digital (5, 149, 13)-net over F3 [i]
143Digital (5, 150, 13)-net over F3 [i]
144Digital (5, 151, 13)-net over F3 [i]
145Digital (5, 152, 13)-net over F3 [i]
146Digital (5, 153, 13)-net over F3 [i]
147Digital (5, 154, 13)-net over F3 [i]
148Digital (5, 155, 13)-net over F3 [i]
149Digital (5, 156, 13)-net over F3 [i]
150Digital (5, 157, 13)-net over F3 [i]
151Digital (5, 158, 13)-net over F3 [i]
152Digital (5, 159, 13)-net over F3 [i]
153Digital (5, 160, 13)-net over F3 [i]
154Digital (5, 161, 13)-net over F3 [i]
155Digital (5, 162, 13)-net over F3 [i]
156Digital (5, 163, 13)-net over F3 [i]
157Digital (5, 164, 13)-net over F3 [i]
158Digital (5, 165, 13)-net over F3 [i]
159Digital (5, 166, 13)-net over F3 [i]
160Digital (5, 167, 13)-net over F3 [i]
161Digital (5, 168, 13)-net over F3 [i]
162Digital (5, 169, 13)-net over F3 [i]
163Digital (5, 170, 13)-net over F3 [i]
164Digital (5, 171, 13)-net over F3 [i]
165Digital (5, 172, 13)-net over F3 [i]
166Digital (5, 173, 13)-net over F3 [i]
167Digital (5, 174, 13)-net over F3 [i]
168Digital (5, 175, 13)-net over F3 [i]
169Digital (5, 176, 13)-net over F3 [i]
170Digital (5, 177, 13)-net over F3 [i]
171Digital (5, 178, 13)-net over F3 [i]
172Digital (5, 179, 13)-net over F3 [i]
173Digital (5, 180, 13)-net over F3 [i]
174Digital (5, 181, 13)-net over F3 [i]
175Digital (5, 182, 13)-net over F3 [i]
176Digital (5, 183, 13)-net over F3 [i]
177Digital (5, 184, 13)-net over F3 [i]
178Digital (5, 185, 13)-net over F3 [i]
179Digital (5, 186, 13)-net over F3 [i]
180Digital (5, 187, 13)-net over F3 [i]
181Digital (5, 188, 13)-net over F3 [i]
182Digital (5, 189, 13)-net over F3 [i]
183Digital (5, 190, 13)-net over F3 [i]
184Digital (5, 191, 13)-net over F3 [i]
185Digital (5, 192, 13)-net over F3 [i]
186Digital (5, 193, 13)-net over F3 [i]
187Digital (5, 194, 13)-net over F3 [i]
188Digital (5, 195, 13)-net over F3 [i]
189Digital (5, 196, 13)-net over F3 [i]
190Digital (5, 197, 13)-net over F3 [i]
191Digital (5, 198, 13)-net over F3 [i]
192Digital (5, 199, 13)-net over F3 [i]
193Digital (5, 200, 13)-net over F3 [i]
194Digital (5, 201, 13)-net over F3 [i]
195Digital (5, 202, 13)-net over F3 [i]
196Digital (5, 203, 13)-net over F3 [i]
197Digital (5, 204, 13)-net over F3 [i]
198Digital (5, 205, 13)-net over F3 [i]
199Digital (5, 206, 13)-net over F3 [i]
200Digital (5, 207, 13)-net over F3 [i]
201Digital (5, 208, 13)-net over F3 [i]
202Digital (5, 209, 13)-net over F3 [i]
203Digital (5, 210, 13)-net over F3 [i]
204Digital (5, 211, 13)-net over F3 [i]
205Digital (5, 212, 13)-net over F3 [i]
206Digital (5, 213, 13)-net over F3 [i]
207Digital (5, 214, 13)-net over F3 [i]
208Digital (5, 215, 13)-net over F3 [i]
209Digital (5, 216, 13)-net over F3 [i]
210Digital (5, 217, 13)-net over F3 [i]
211Digital (5, 218, 13)-net over F3 [i]
212Digital (5, 219, 13)-net over F3 [i]
213Digital (5, 220, 13)-net over F3 [i]
214Digital (5, 221, 13)-net over F3 [i]
215Digital (5, 222, 13)-net over F3 [i]
216Digital (5, 223, 13)-net over F3 [i]
217Digital (5, 224, 13)-net over F3 [i]
218Digital (5, 225, 13)-net over F3 [i]
219Digital (5, 226, 13)-net over F3 [i]
220Digital (5, 227, 13)-net over F3 [i]
221Digital (5, 228, 13)-net over F3 [i]
222Digital (5, 229, 13)-net over F3 [i]
223Digital (5, 230, 13)-net over F3 [i]
224Digital (5, 231, 13)-net over F3 [i]
225Digital (5, 232, 13)-net over F3 [i]
226Digital (5, 233, 13)-net over F3 [i]
227Digital (5, 234, 13)-net over F3 [i]
228Digital (5, 235, 13)-net over F3 [i]
229Digital (5, 236, 13)-net over F3 [i]
230Digital (5, 237, 13)-net over F3 [i]
231Digital (5, 238, 13)-net over F3 [i]
232Digital (5, 239, 13)-net over F3 [i]
233Digital (5, 240, 13)-net over F3 [i]
234Digital (5, 241, 13)-net over F3 [i]
235Digital (5, 242, 13)-net over F3 [i]
236Digital (5, 243, 13)-net over F3 [i]
237Digital (5, 244, 13)-net over F3 [i]
238Digital (5, 245, 13)-net over F3 [i]
239Digital (5, 246, 13)-net over F3 [i]
240Digital (5, 247, 13)-net over F3 [i]
241Digital (5, 248, 13)-net over F3 [i]
242Digital (5, 249, 13)-net over F3 [i]
243Digital (5, 250, 13)-net over F3 [i]
244Digital (5, m, 13)-net over F3 for arbitrarily large m [i]