Information on Result #601136

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