Information on Result #601827

Digital (163, 85)-sequence over F3, using Niederreiter–Xing sequence construction III based on function field F4/F3 with g(F4) = 79, N(F4) ≥ 2, and N(F4) + N2(F4) ≥ 86 from García–Stichtenoth tower as constant field extension

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:

ResultThis
result
only
Method
1Digital (163, 166, 86)-net over F3 [i]Net from Sequence
2Digital (163, 167, 86)-net over F3 [i]
3Digital (163, 168, 86)-net over F3 [i]
4Digital (163, 169, 86)-net over F3 [i]
5Digital (163, 170, 86)-net over F3 [i]
6Digital (163, 171, 86)-net over F3 [i]
7Digital (163, 172, 86)-net over F3 [i]
8Digital (163, 173, 86)-net over F3 [i]
9Digital (163, 174, 86)-net over F3 [i]
10Digital (163, 175, 86)-net over F3 [i]
11Digital (163, 176, 86)-net over F3 [i]
12Digital (163, 177, 86)-net over F3 [i]
13Digital (163, 178, 86)-net over F3 [i]
14Digital (163, 179, 86)-net over F3 [i]
15Digital (163, 180, 86)-net over F3 [i]
16Digital (163, 181, 86)-net over F3 [i]
17Digital (163, 182, 86)-net over F3 [i]
18Digital (163, 183, 86)-net over F3 [i]
19Digital (163, 184, 86)-net over F3 [i]
20Digital (163, 185, 86)-net over F3 [i]
21Digital (163, 186, 86)-net over F3 [i]
22Digital (163, 187, 86)-net over F3 [i]
23Digital (163, 188, 86)-net over F3 [i]
24Digital (163, 189, 86)-net over F3 [i]
25Digital (163, 190, 86)-net over F3 [i]
26Digital (163, 191, 86)-net over F3 [i]
27Digital (163, 192, 86)-net over F3 [i]
28Digital (163, 193, 86)-net over F3 [i]
29Digital (163, 194, 86)-net over F3 [i]
30Digital (163, 195, 86)-net over F3 [i]
31Digital (163, 196, 86)-net over F3 [i]
32Digital (163, 197, 86)-net over F3 [i]
33Digital (163, 198, 86)-net over F3 [i]
34Digital (163, 199, 86)-net over F3 [i]
35Digital (163, 200, 86)-net over F3 [i]
36Digital (163, 201, 86)-net over F3 [i]
37Digital (163, 202, 86)-net over F3 [i]
38Digital (163, 203, 86)-net over F3 [i]
39Digital (163, 204, 86)-net over F3 [i]
40Digital (163, 205, 86)-net over F3 [i]
41Digital (163, 206, 86)-net over F3 [i]
42Digital (163, 207, 86)-net over F3 [i]
43Digital (163, 208, 86)-net over F3 [i]
44Digital (163, 209, 86)-net over F3 [i]
45Digital (163, 210, 86)-net over F3 [i]
46Digital (163, 211, 86)-net over F3 [i]
47Digital (163, 212, 86)-net over F3 [i]
48Digital (163, 213, 86)-net over F3 [i]
49Digital (163, 214, 86)-net over F3 [i]
50Digital (163, 215, 86)-net over F3 [i]
51Digital (163, 216, 86)-net over F3 [i]
52Digital (163, 217, 86)-net over F3 [i]
53Digital (163, 218, 86)-net over F3 [i]
54Digital (163, 219, 86)-net over F3 [i]
55Digital (163, 220, 86)-net over F3 [i]
56Digital (163, 221, 86)-net over F3 [i]
57Digital (163, 222, 86)-net over F3 [i]
58Digital (163, 223, 86)-net over F3 [i]
59Digital (163, 224, 86)-net over F3 [i]
60Digital (163, 225, 86)-net over F3 [i]
61Digital (163, 226, 86)-net over F3 [i]
62Digital (163, 227, 86)-net over F3 [i]
63Digital (163, 228, 86)-net over F3 [i]
64Digital (163, 229, 86)-net over F3 [i]
65Digital (163, 230, 86)-net over F3 [i]
66Digital (163, 231, 86)-net over F3 [i]
67Digital (163, 232, 86)-net over F3 [i]
68Digital (163, 233, 86)-net over F3 [i]
69Digital (163, 234, 86)-net over F3 [i]
70Digital (163, 235, 86)-net over F3 [i]
71Digital (163, 236, 86)-net over F3 [i]
72Digital (163, 237, 86)-net over F3 [i]
73Digital (163, 238, 86)-net over F3 [i]
74Digital (163, 239, 86)-net over F3 [i]
75Digital (163, 240, 86)-net over F3 [i]
76Digital (163, 241, 86)-net over F3 [i]
77Digital (163, 242, 86)-net over F3 [i]
78Digital (163, 243, 86)-net over F3 [i]
79Digital (163, 244, 86)-net over F3 [i]
80Digital (163, 245, 86)-net over F3 [i]
81Digital (163, 246, 86)-net over F3 [i]
82Digital (163, 247, 86)-net over F3 [i]
83Digital (163, 248, 86)-net over F3 [i]
84Digital (163, 249, 86)-net over F3 [i]
85Digital (163, 250, 86)-net over F3 [i]
86Digital (163, m, 86)-net over F3 for arbitrarily large m [i]