MinT - Information on Result #601110

Information on Result #601110

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