MinT - Information on Result #601115

Information on Result #601115

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