MinT - Information on Result #601378

Information on Result #601378

Digital (106, 72)-sequence over F₃, using base reduction for sequences based on digital (17, 72)-sequence over F₉, using

s-reduction based on digital (17, 73)-sequence over F₉, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
  - a function field by GarcÃa and Quoos [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 (106, 109, 73)-net over F₃	[i]	Net from Sequence
2	Digital (106, 110, 73)-net over F₃	[i]
3	Digital (106, 111, 73)-net over F₃	[i]
4	Digital (106, 112, 73)-net over F₃	[i]
5	Digital (106, 113, 73)-net over F₃	[i]
6	Digital (106, 114, 73)-net over F₃	[i]
7	Digital (106, 115, 73)-net over F₃	[i]
8	Digital (106, 116, 73)-net over F₃	[i]
9	Digital (106, 117, 73)-net over F₃	[i]
10	Digital (106, 118, 73)-net over F₃	[i]
11	Digital (106, 119, 73)-net over F₃	[i]
12	Digital (106, 120, 73)-net over F₃	[i]
13	Digital (106, 121, 73)-net over F₃	[i]
14	Digital (106, 122, 73)-net over F₃	[i]
15	Digital (106, 123, 73)-net over F₃	[i]
16	Digital (106, 124, 73)-net over F₃	[i]
17	Digital (106, 125, 73)-net over F₃	[i]
18	Digital (106, 126, 73)-net over F₃	[i]
19	Digital (106, 127, 73)-net over F₃	[i]
20	Digital (106, 128, 73)-net over F₃	[i]
21	Digital (106, 129, 73)-net over F₃	[i]
22	Digital (106, 130, 73)-net over F₃	[i]
23	Digital (106, 131, 73)-net over F₃	[i]
24	Digital (106, 132, 73)-net over F₃	[i]
25	Digital (106, 133, 73)-net over F₃	[i]
26	Digital (106, 134, 73)-net over F₃	[i]
27	Digital (106, 135, 73)-net over F₃	[i]
28	Digital (106, 136, 73)-net over F₃	[i]
29	Digital (106, 137, 73)-net over F₃	[i]
30	Digital (106, 138, 73)-net over F₃	[i]
31	Digital (106, 139, 73)-net over F₃	[i]
32	Digital (106, 140, 73)-net over F₃	[i]
33	Digital (106, 141, 73)-net over F₃	[i]
34	Digital (106, 142, 73)-net over F₃	[i]
35	Digital (106, 143, 73)-net over F₃	[i]
36	Digital (106, 144, 73)-net over F₃	[i]
37	Digital (106, 145, 73)-net over F₃	[i]
38	Digital (106, 146, 73)-net over F₃	[i]
39	Digital (106, 147, 73)-net over F₃	[i]
40	Digital (106, 148, 73)-net over F₃	[i]
41	Digital (106, 149, 73)-net over F₃	[i]
42	Digital (106, 150, 73)-net over F₃	[i]
43	Digital (106, 151, 73)-net over F₃	[i]
44	Digital (106, 152, 73)-net over F₃	[i]
45	Digital (106, 153, 73)-net over F₃	[i]
46	Digital (106, 154, 73)-net over F₃	[i]
47	Digital (106, 155, 73)-net over F₃	[i]
48	Digital (106, 156, 73)-net over F₃	[i]
49	Digital (106, 157, 73)-net over F₃	[i]
50	Digital (106, 158, 73)-net over F₃	[i]
51	Digital (106, 159, 73)-net over F₃	[i]
52	Digital (106, 160, 73)-net over F₃	[i]
53	Digital (106, 161, 73)-net over F₃	[i]
54	Digital (106, 162, 73)-net over F₃	[i]
55	Digital (106, 163, 73)-net over F₃	[i]
56	Digital (106, 164, 73)-net over F₃	[i]
57	Digital (106, 165, 73)-net over F₃	[i]
58	Digital (106, 166, 73)-net over F₃	[i]
59	Digital (106, 167, 73)-net over F₃	[i]
60	Digital (106, 168, 73)-net over F₃	[i]
61	Digital (106, 169, 73)-net over F₃	[i]
62	Digital (106, 170, 73)-net over F₃	[i]
63	Digital (106, 171, 73)-net over F₃	[i]
64	Digital (106, 172, 73)-net over F₃	[i]
65	Digital (106, 173, 73)-net over F₃	[i]
66	Digital (106, 174, 73)-net over F₃	[i]
67	Digital (106, 175, 73)-net over F₃	[i]
68	Digital (106, 176, 73)-net over F₃	[i]
69	Digital (106, 177, 73)-net over F₃	[i]
70	Digital (106, 178, 73)-net over F₃	[i]
71	Digital (106, 179, 73)-net over F₃	[i]
72	Digital (106, 180, 73)-net over F₃	[i]
73	Digital (106, 181, 73)-net over F₃	[i]
74	Digital (106, 182, 73)-net over F₃	[i]
75	Digital (106, 183, 73)-net over F₃	[i]
76	Digital (106, 184, 73)-net over F₃	[i]
77	Digital (106, 185, 73)-net over F₃	[i]
78	Digital (106, 186, 73)-net over F₃	[i]
79	Digital (106, 187, 73)-net over F₃	[i]
80	Digital (106, 188, 73)-net over F₃	[i]
81	Digital (106, 189, 73)-net over F₃	[i]
82	Digital (106, 190, 73)-net over F₃	[i]
83	Digital (106, 191, 73)-net over F₃	[i]
84	Digital (106, 192, 73)-net over F₃	[i]
85	Digital (106, 193, 73)-net over F₃	[i]
86	Digital (106, 194, 73)-net over F₃	[i]
87	Digital (106, 195, 73)-net over F₃	[i]
88	Digital (106, 196, 73)-net over F₃	[i]
89	Digital (106, 197, 73)-net over F₃	[i]
90	Digital (106, 198, 73)-net over F₃	[i]
91	Digital (106, 199, 73)-net over F₃	[i]
92	Digital (106, 200, 73)-net over F₃	[i]
93	Digital (106, 201, 73)-net over F₃	[i]
94	Digital (106, 202, 73)-net over F₃	[i]
95	Digital (106, 203, 73)-net over F₃	[i]
96	Digital (106, 204, 73)-net over F₃	[i]
97	Digital (106, 205, 73)-net over F₃	[i]
98	Digital (106, 206, 73)-net over F₃	[i]
99	Digital (106, 207, 73)-net over F₃	[i]
100	Digital (106, 208, 73)-net over F₃	[i]
101	Digital (106, 209, 73)-net over F₃	[i]
102	Digital (106, 210, 73)-net over F₃	[i]
103	Digital (106, 211, 73)-net over F₃	[i]
104	Digital (106, 212, 73)-net over F₃	[i]
105	Digital (106, 213, 73)-net over F₃	[i]
106	Digital (106, 214, 73)-net over F₃	[i]
107	Digital (106, 215, 73)-net over F₃	[i]
108	Digital (106, 216, 73)-net over F₃	[i]
109	Digital (106, 217, 73)-net over F₃	[i]
110	Digital (106, 218, 73)-net over F₃	[i]
111	Digital (106, 219, 73)-net over F₃	[i]
112	Digital (106, 220, 73)-net over F₃	[i]
113	Digital (106, 221, 73)-net over F₃	[i]
114	Digital (106, 222, 73)-net over F₃	[i]
115	Digital (106, 223, 73)-net over F₃	[i]
116	Digital (106, 224, 73)-net over F₃	[i]
117	Digital (106, 225, 73)-net over F₃	[i]
118	Digital (106, 226, 73)-net over F₃	[i]
119	Digital (106, 227, 73)-net over F₃	[i]
120	Digital (106, 228, 73)-net over F₃	[i]
121	Digital (106, 229, 73)-net over F₃	[i]
122	Digital (106, 230, 73)-net over F₃	[i]
123	Digital (106, 231, 73)-net over F₃	[i]
124	Digital (106, 232, 73)-net over F₃	[i]
125	Digital (106, 233, 73)-net over F₃	[i]
126	Digital (106, 234, 73)-net over F₃	[i]
127	Digital (106, 235, 73)-net over F₃	[i]
128	Digital (106, 236, 73)-net over F₃	[i]
129	Digital (106, 237, 73)-net over F₃	[i]
130	Digital (106, 238, 73)-net over F₃	[i]
131	Digital (106, 239, 73)-net over F₃	[i]
132	Digital (106, 240, 73)-net over F₃	[i]
133	Digital (106, 241, 73)-net over F₃	[i]
134	Digital (106, 242, 73)-net over F₃	[i]
135	Digital (106, 243, 73)-net over F₃	[i]
136	Digital (106, 244, 73)-net over F₃	[i]
137	Digital (106, 245, 73)-net over F₃	[i]
138	Digital (106, 246, 73)-net over F₃	[i]
139	Digital (106, 247, 73)-net over F₃	[i]
140	Digital (106, 248, 73)-net over F₃	[i]
141	Digital (106, 249, 73)-net over F₃	[i]
142	Digital (106, 250, 73)-net over F₃	[i]
143	Digital (106, m, 73)-net over F₃ for arbitrarily large m	[i]
144	Linear OOA(3²⁴⁰, 72, F₃, 5, 134) (dual of [(72, 5), 120, 135]-NRT-code)	[i]	OOA from Sequence
145	Linear OOA(3²²⁹, 72, F₃, 5, 123) (dual of [(72, 5), 131, 124]-NRT-code)	[i]
146	Linear OOA(3²³⁹, 72, F₃, 5, 133) (dual of [(72, 5), 121, 134]-NRT-code)	[i]
147	Linear OOA(3²²⁸, 72, F₃, 5, 122) (dual of [(72, 5), 132, 123]-NRT-code)	[i]
148	Linear OOA(3²³⁸, 72, F₃, 5, 132) (dual of [(72, 5), 122, 133]-NRT-code)	[i]
149	Linear OOA(3²²⁷, 72, F₃, 5, 121) (dual of [(72, 5), 133, 122]-NRT-code)	[i]
150	Linear OOA(3²³⁷, 72, F₃, 5, 131) (dual of [(72, 5), 123, 132]-NRT-code)	[i]
151	Linear OOA(3²²⁶, 72, F₃, 5, 120) (dual of [(72, 5), 134, 121]-NRT-code)	[i]
152	Linear OOA(3²³⁶, 72, F₃, 5, 130) (dual of [(72, 5), 124, 131]-NRT-code)	[i]
153	Linear OOA(3²²⁵, 72, F₃, 5, 119) (dual of [(72, 5), 135, 120]-NRT-code)	[i]
154	Linear OOA(3²³⁵, 72, F₃, 5, 129) (dual of [(72, 5), 125, 130]-NRT-code)	[i]
155	Linear OOA(3²²⁴, 72, F₃, 5, 118) (dual of [(72, 5), 136, 119]-NRT-code)	[i]
156	Linear OOA(3²³⁴, 72, F₃, 5, 128) (dual of [(72, 5), 126, 129]-NRT-code)	[i]
157	Linear OOA(3²²³, 72, F₃, 5, 117) (dual of [(72, 5), 137, 118]-NRT-code)	[i]
158	Linear OOA(3²³³, 72, F₃, 5, 127) (dual of [(72, 5), 127, 128]-NRT-code)	[i]
159	Linear OOA(3²²², 72, F₃, 5, 116) (dual of [(72, 5), 138, 117]-NRT-code)	[i]
160	Linear OOA(3²³², 72, F₃, 5, 126) (dual of [(72, 5), 128, 127]-NRT-code)	[i]
161	Linear OOA(3²²¹, 72, F₃, 5, 115) (dual of [(72, 5), 139, 116]-NRT-code)	[i]
162	Linear OOA(3²³¹, 72, F₃, 5, 125) (dual of [(72, 5), 129, 126]-NRT-code)	[i]
163	Linear OOA(3²²⁰, 72, F₃, 5, 114) (dual of [(72, 5), 140, 115]-NRT-code)	[i]
164	Linear OOA(3²³⁰, 72, F₃, 5, 124) (dual of [(72, 5), 130, 125]-NRT-code)	[i]
165	Linear OOA(3²¹⁹, 72, F₃, 5, 113) (dual of [(72, 5), 141, 114]-NRT-code)	[i]
166	Linear OOA(3²¹⁸, 72, F₃, 5, 112) (dual of [(72, 5), 142, 113]-NRT-code)	[i]
167	Linear OOA(3²¹⁷, 72, F₃, 5, 111) (dual of [(72, 5), 143, 112]-NRT-code)	[i]
168	Linear OOA(3²¹⁶, 72, F₃, 5, 110) (dual of [(72, 5), 144, 111]-NRT-code)	[i]
169	Linear OOA(3²¹⁵, 72, F₃, 5, 109) (dual of [(72, 5), 145, 110]-NRT-code)	[i]
170	Linear OOA(3²¹⁴, 72, F₃, 5, 108) (dual of [(72, 5), 146, 109]-NRT-code)	[i]
171	Linear OOA(3²¹³, 72, F₃, 5, 107) (dual of [(72, 5), 147, 108]-NRT-code)	[i]
172	Linear OOA(3²¹², 72, F₃, 5, 106) (dual of [(72, 5), 148, 107]-NRT-code)	[i]
173	Linear OOA(3²¹¹, 72, F₃, 5, 105) (dual of [(72, 5), 149, 106]-NRT-code)	[i]
174	Linear OOA(3²¹⁰, 72, F₃, 5, 104) (dual of [(72, 5), 150, 105]-NRT-code)	[i]
175	Linear OOA(3²⁰⁹, 72, F₃, 5, 103) (dual of [(72, 5), 151, 104]-NRT-code)	[i]
176	Linear OOA(3²⁰⁸, 72, F₃, 5, 102) (dual of [(72, 5), 152, 103]-NRT-code)	[i]
177	Linear OOA(3²⁰⁷, 72, F₃, 5, 101) (dual of [(72, 5), 153, 102]-NRT-code)	[i]
178	Linear OOA(3²⁰⁶, 72, F₃, 5, 100) (dual of [(72, 5), 154, 101]-NRT-code)	[i]
179	Linear OOA(3²⁰⁵, 72, F₃, 5, 99) (dual of [(72, 5), 155, 100]-NRT-code)	[i]
180	Linear OOA(3²⁰⁴, 72, F₃, 5, 98) (dual of [(72, 5), 156, 99]-NRT-code)	[i]
181	Linear OOA(3²⁰³, 72, F₃, 5, 97) (dual of [(72, 5), 157, 98]-NRT-code)	[i]