Information on Result #601303

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