Information on Result #1235654

Digital (6, 19)-sequence over F4, using Niederreiter–Xing sequence construction II/III based on function field F/F4 with g(F) = 6 and N(F) ≥ 20, using

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