MinT - Information on Result #601100

Information on Result #601100

Digital (1, 4)-sequence over F₂, using Niederreiterâ€“Xing sequence constructionÂ II/III based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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:

	Result		Method
1	Digital (1, 4, 5)-net over F₂	[i]	Net from Sequence
2	Digital (1, 5, 5)-net over F₂	[i]
3	Digital (1, 6, 5)-net over F₂	[i]
4	Digital (1, 7, 5)-net over F₂	[i]
5	Digital (1, 8, 5)-net over F₂	[i]
6	Digital (1, 9, 5)-net over F₂	[i]
7	Digital (1, 10, 5)-net over F₂	[i]
8	Digital (1, 11, 5)-net over F₂	[i]
9	Digital (1, 12, 5)-net over F₂	[i]
10	Digital (1, 13, 5)-net over F₂	[i]
11	Digital (1, 14, 5)-net over F₂	[i]
12	Digital (1, 15, 5)-net over F₂	[i]
13	Digital (1, 16, 5)-net over F₂	[i]
14	Digital (1, 17, 5)-net over F₂	[i]
15	Digital (1, 18, 5)-net over F₂	[i]
16	Digital (1, 19, 5)-net over F₂	[i]
17	Digital (1, 20, 5)-net over F₂	[i]
18	Digital (1, 21, 5)-net over F₂	[i]
19	Digital (1, 22, 5)-net over F₂	[i]
20	Digital (1, 23, 5)-net over F₂	[i]
21	Digital (1, 24, 5)-net over F₂	[i]
22	Digital (1, 25, 5)-net over F₂	[i]
23	Digital (1, 26, 5)-net over F₂	[i]
24	Digital (1, 27, 5)-net over F₂	[i]
25	Digital (1, 28, 5)-net over F₂	[i]
26	Digital (1, 29, 5)-net over F₂	[i]
27	Digital (1, 30, 5)-net over F₂	[i]
28	Digital (1, 31, 5)-net over F₂	[i]
29	Digital (1, 32, 5)-net over F₂	[i]
30	Digital (1, 33, 5)-net over F₂	[i]
31	Digital (1, 34, 5)-net over F₂	[i]
32	Digital (1, 35, 5)-net over F₂	[i]
33	Digital (1, 36, 5)-net over F₂	[i]
34	Digital (1, 37, 5)-net over F₂	[i]
35	Digital (1, 38, 5)-net over F₂	[i]
36	Digital (1, 39, 5)-net over F₂	[i]
37	Digital (1, 40, 5)-net over F₂	[i]
38	Digital (1, 41, 5)-net over F₂	[i]
39	Digital (1, 42, 5)-net over F₂	[i]
40	Digital (1, 43, 5)-net over F₂	[i]
41	Digital (1, 44, 5)-net over F₂	[i]
42	Digital (1, 45, 5)-net over F₂	[i]
43	Digital (1, 46, 5)-net over F₂	[i]
44	Digital (1, 47, 5)-net over F₂	[i]
45	Digital (1, 48, 5)-net over F₂	[i]
46	Digital (1, 49, 5)-net over F₂	[i]
47	Digital (1, 50, 5)-net over F₂	[i]
48	Digital (1, 51, 5)-net over F₂	[i]
49	Digital (1, 52, 5)-net over F₂	[i]
50	Digital (1, 53, 5)-net over F₂	[i]
51	Digital (1, 54, 5)-net over F₂	[i]
52	Digital (1, 55, 5)-net over F₂	[i]
53	Digital (1, 56, 5)-net over F₂	[i]
54	Digital (1, 57, 5)-net over F₂	[i]
55	Digital (1, 58, 5)-net over F₂	[i]
56	Digital (1, 59, 5)-net over F₂	[i]
57	Digital (1, 60, 5)-net over F₂	[i]
58	Digital (1, 61, 5)-net over F₂	[i]
59	Digital (1, 62, 5)-net over F₂	[i]
60	Digital (1, 63, 5)-net over F₂	[i]
61	Digital (1, 64, 5)-net over F₂	[i]
62	Digital (1, 65, 5)-net over F₂	[i]
63	Digital (1, 66, 5)-net over F₂	[i]
64	Digital (1, 67, 5)-net over F₂	[i]
65	Digital (1, 68, 5)-net over F₂	[i]
66	Digital (1, 69, 5)-net over F₂	[i]
67	Digital (1, 70, 5)-net over F₂	[i]
68	Digital (1, 71, 5)-net over F₂	[i]
69	Digital (1, 72, 5)-net over F₂	[i]
70	Digital (1, 73, 5)-net over F₂	[i]
71	Digital (1, 74, 5)-net over F₂	[i]
72	Digital (1, 75, 5)-net over F₂	[i]
73	Digital (1, 76, 5)-net over F₂	[i]
74	Digital (1, 77, 5)-net over F₂	[i]
75	Digital (1, 78, 5)-net over F₂	[i]
76	Digital (1, 79, 5)-net over F₂	[i]
77	Digital (1, 80, 5)-net over F₂	[i]
78	Digital (1, 81, 5)-net over F₂	[i]
79	Digital (1, 82, 5)-net over F₂	[i]
80	Digital (1, 83, 5)-net over F₂	[i]
81	Digital (1, 84, 5)-net over F₂	[i]
82	Digital (1, 85, 5)-net over F₂	[i]
83	Digital (1, 86, 5)-net over F₂	[i]
84	Digital (1, 87, 5)-net over F₂	[i]
85	Digital (1, 88, 5)-net over F₂	[i]
86	Digital (1, 89, 5)-net over F₂	[i]
87	Digital (1, 90, 5)-net over F₂	[i]
88	Digital (1, 91, 5)-net over F₂	[i]
89	Digital (1, 92, 5)-net over F₂	[i]
90	Digital (1, 93, 5)-net over F₂	[i]
91	Digital (1, 94, 5)-net over F₂	[i]
92	Digital (1, 95, 5)-net over F₂	[i]
93	Digital (1, 96, 5)-net over F₂	[i]
94	Digital (1, 97, 5)-net over F₂	[i]
95	Digital (1, 98, 5)-net over F₂	[i]
96	Digital (1, 99, 5)-net over F₂	[i]
97	Digital (1, 100, 5)-net over F₂	[i]
98	Digital (1, 101, 5)-net over F₂	[i]
99	Digital (1, 102, 5)-net over F₂	[i]
100	Digital (1, 103, 5)-net over F₂	[i]
101	Digital (1, 104, 5)-net over F₂	[i]
102	Digital (1, 105, 5)-net over F₂	[i]
103	Digital (1, 106, 5)-net over F₂	[i]
104	Digital (1, 107, 5)-net over F₂	[i]
105	Digital (1, 108, 5)-net over F₂	[i]
106	Digital (1, 109, 5)-net over F₂	[i]
107	Digital (1, 110, 5)-net over F₂	[i]
108	Digital (1, 111, 5)-net over F₂	[i]
109	Digital (1, 112, 5)-net over F₂	[i]
110	Digital (1, 113, 5)-net over F₂	[i]
111	Digital (1, 114, 5)-net over F₂	[i]
112	Digital (1, 115, 5)-net over F₂	[i]
113	Digital (1, 116, 5)-net over F₂	[i]
114	Digital (1, 117, 5)-net over F₂	[i]
115	Digital (1, 118, 5)-net over F₂	[i]
116	Digital (1, 119, 5)-net over F₂	[i]
117	Digital (1, 120, 5)-net over F₂	[i]
118	Digital (1, 121, 5)-net over F₂	[i]
119	Digital (1, 122, 5)-net over F₂	[i]
120	Digital (1, 123, 5)-net over F₂	[i]
121	Digital (1, 124, 5)-net over F₂	[i]
122	Digital (1, 125, 5)-net over F₂	[i]
123	Digital (1, 126, 5)-net over F₂	[i]
124	Digital (1, 127, 5)-net over F₂	[i]
125	Digital (1, 128, 5)-net over F₂	[i]
126	Digital (1, 129, 5)-net over F₂	[i]
127	Digital (1, 130, 5)-net over F₂	[i]
128	Digital (1, 131, 5)-net over F₂	[i]
129	Digital (1, 132, 5)-net over F₂	[i]
130	Digital (1, 133, 5)-net over F₂	[i]
131	Digital (1, 134, 5)-net over F₂	[i]
132	Digital (1, 135, 5)-net over F₂	[i]
133	Digital (1, 136, 5)-net over F₂	[i]
134	Digital (1, 137, 5)-net over F₂	[i]
135	Digital (1, 138, 5)-net over F₂	[i]
136	Digital (1, 139, 5)-net over F₂	[i]
137	Digital (1, 140, 5)-net over F₂	[i]
138	Digital (1, 141, 5)-net over F₂	[i]
139	Digital (1, 142, 5)-net over F₂	[i]
140	Digital (1, 143, 5)-net over F₂	[i]
141	Digital (1, 144, 5)-net over F₂	[i]
142	Digital (1, 145, 5)-net over F₂	[i]
143	Digital (1, 146, 5)-net over F₂	[i]
144	Digital (1, 147, 5)-net over F₂	[i]
145	Digital (1, 148, 5)-net over F₂	[i]
146	Digital (1, 149, 5)-net over F₂	[i]
147	Digital (1, 150, 5)-net over F₂	[i]
148	Digital (1, 151, 5)-net over F₂	[i]
149	Digital (1, 152, 5)-net over F₂	[i]
150	Digital (1, 153, 5)-net over F₂	[i]
151	Digital (1, 154, 5)-net over F₂	[i]
152	Digital (1, 155, 5)-net over F₂	[i]
153	Digital (1, 156, 5)-net over F₂	[i]
154	Digital (1, 157, 5)-net over F₂	[i]
155	Digital (1, 158, 5)-net over F₂	[i]
156	Digital (1, 159, 5)-net over F₂	[i]
157	Digital (1, 160, 5)-net over F₂	[i]
158	Digital (1, 161, 5)-net over F₂	[i]
159	Digital (1, 162, 5)-net over F₂	[i]
160	Digital (1, 163, 5)-net over F₂	[i]
161	Digital (1, 164, 5)-net over F₂	[i]
162	Digital (1, 165, 5)-net over F₂	[i]
163	Digital (1, 166, 5)-net over F₂	[i]
164	Digital (1, 167, 5)-net over F₂	[i]
165	Digital (1, 168, 5)-net over F₂	[i]
166	Digital (1, 169, 5)-net over F₂	[i]
167	Digital (1, 170, 5)-net over F₂	[i]
168	Digital (1, 171, 5)-net over F₂	[i]
169	Digital (1, 172, 5)-net over F₂	[i]
170	Digital (1, 173, 5)-net over F₂	[i]
171	Digital (1, 174, 5)-net over F₂	[i]
172	Digital (1, 175, 5)-net over F₂	[i]
173	Digital (1, 176, 5)-net over F₂	[i]
174	Digital (1, 177, 5)-net over F₂	[i]
175	Digital (1, 178, 5)-net over F₂	[i]
176	Digital (1, 179, 5)-net over F₂	[i]
177	Digital (1, 180, 5)-net over F₂	[i]
178	Digital (1, 181, 5)-net over F₂	[i]
179	Digital (1, 182, 5)-net over F₂	[i]
180	Digital (1, 183, 5)-net over F₂	[i]
181	Digital (1, 184, 5)-net over F₂	[i]
182	Digital (1, 185, 5)-net over F₂	[i]
183	Digital (1, 186, 5)-net over F₂	[i]
184	Digital (1, 187, 5)-net over F₂	[i]
185	Digital (1, 188, 5)-net over F₂	[i]
186	Digital (1, 189, 5)-net over F₂	[i]
187	Digital (1, 190, 5)-net over F₂	[i]
188	Digital (1, 191, 5)-net over F₂	[i]
189	Digital (1, 192, 5)-net over F₂	[i]
190	Digital (1, 193, 5)-net over F₂	[i]
191	Digital (1, 194, 5)-net over F₂	[i]
192	Digital (1, 195, 5)-net over F₂	[i]
193	Digital (1, 196, 5)-net over F₂	[i]
194	Digital (1, 197, 5)-net over F₂	[i]
195	Digital (1, 198, 5)-net over F₂	[i]
196	Digital (1, 199, 5)-net over F₂	[i]
197	Digital (1, 200, 5)-net over F₂	[i]
198	Digital (1, 201, 5)-net over F₂	[i]
199	Digital (1, 202, 5)-net over F₂	[i]
200	Digital (1, 203, 5)-net over F₂	[i]
201	Digital (1, 204, 5)-net over F₂	[i]
202	Digital (1, 205, 5)-net over F₂	[i]
203	Digital (1, 206, 5)-net over F₂	[i]
204	Digital (1, 207, 5)-net over F₂	[i]
205	Digital (1, 208, 5)-net over F₂	[i]
206	Digital (1, 209, 5)-net over F₂	[i]
207	Digital (1, 210, 5)-net over F₂	[i]
208	Digital (1, 211, 5)-net over F₂	[i]
209	Digital (1, 212, 5)-net over F₂	[i]
210	Digital (1, 213, 5)-net over F₂	[i]
211	Digital (1, 214, 5)-net over F₂	[i]
212	Digital (1, 215, 5)-net over F₂	[i]
213	Digital (1, 216, 5)-net over F₂	[i]
214	Digital (1, 217, 5)-net over F₂	[i]
215	Digital (1, 218, 5)-net over F₂	[i]
216	Digital (1, 219, 5)-net over F₂	[i]
217	Digital (1, 220, 5)-net over F₂	[i]
218	Digital (1, 221, 5)-net over F₂	[i]
219	Digital (1, 222, 5)-net over F₂	[i]
220	Digital (1, 223, 5)-net over F₂	[i]
221	Digital (1, 224, 5)-net over F₂	[i]
222	Digital (1, 225, 5)-net over F₂	[i]
223	Digital (1, 226, 5)-net over F₂	[i]
224	Digital (1, 227, 5)-net over F₂	[i]
225	Digital (1, 228, 5)-net over F₂	[i]
226	Digital (1, 229, 5)-net over F₂	[i]
227	Digital (1, 230, 5)-net over F₂	[i]
228	Digital (1, 231, 5)-net over F₂	[i]
229	Digital (1, 232, 5)-net over F₂	[i]
230	Digital (1, 233, 5)-net over F₂	[i]
231	Digital (1, 234, 5)-net over F₂	[i]
232	Digital (1, 235, 5)-net over F₂	[i]
233	Digital (1, 236, 5)-net over F₂	[i]
234	Digital (1, 237, 5)-net over F₂	[i]
235	Digital (1, 238, 5)-net over F₂	[i]
236	Digital (1, 239, 5)-net over F₂	[i]
237	Digital (1, 240, 5)-net over F₂	[i]
238	Digital (1, 241, 5)-net over F₂	[i]
239	Digital (1, 242, 5)-net over F₂	[i]
240	Digital (1, 243, 5)-net over F₂	[i]
241	Digital (1, 244, 5)-net over F₂	[i]
242	Digital (1, 245, 5)-net over F₂	[i]
243	Digital (1, 246, 5)-net over F₂	[i]
244	Digital (1, 247, 5)-net over F₂	[i]
245	Digital (1, 248, 5)-net over F₂	[i]
246	Digital (1, 249, 5)-net over F₂	[i]
247	Digital (1, 250, 5)-net over F₂	[i]
248	Digital (1, 251, 5)-net over F₂	[i]
249	Digital (1, 252, 5)-net over F₂	[i]
250	Digital (1, 253, 5)-net over F₂	[i]
251	Digital (1, 254, 5)-net over F₂	[i]
252	Digital (1, 255, 5)-net over F₂	[i]
253	Digital (1, 256, 5)-net over F₂	[i]
254	Digital (1, 257, 5)-net over F₂	[i]
255	Digital (1, 258, 5)-net over F₂	[i]
256	Digital (1, 259, 5)-net over F₂	[i]
257	Digital (1, 260, 5)-net over F₂	[i]
258	Digital (1, m, 5)-net over F₂ for arbitrarily large m	[i]