MinT - Information on Result #601103

Information on Result #601103

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