Information on Result #601304

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