Information on Result #601823

Digital (159, 81)-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) ≥ 82 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 (159, 162, 82)-net over F3 [i]Net from Sequence
2Digital (159, 163, 82)-net over F3 [i]
3Digital (159, 164, 82)-net over F3 [i]
4Digital (159, 165, 82)-net over F3 [i]
5Digital (159, 166, 82)-net over F3 [i]
6Digital (159, 167, 82)-net over F3 [i]
7Digital (159, 168, 82)-net over F3 [i]
8Digital (159, 169, 82)-net over F3 [i]
9Digital (159, 170, 82)-net over F3 [i]
10Digital (159, 171, 82)-net over F3 [i]
11Digital (159, 172, 82)-net over F3 [i]
12Digital (159, 173, 82)-net over F3 [i]
13Digital (159, 174, 82)-net over F3 [i]
14Digital (159, 175, 82)-net over F3 [i]
15Digital (159, 176, 82)-net over F3 [i]
16Digital (159, 177, 82)-net over F3 [i]
17Digital (159, 178, 82)-net over F3 [i]
18Digital (159, 179, 82)-net over F3 [i]
19Digital (159, 180, 82)-net over F3 [i]
20Digital (159, 181, 82)-net over F3 [i]
21Digital (159, 182, 82)-net over F3 [i]
22Digital (159, 183, 82)-net over F3 [i]
23Digital (159, 184, 82)-net over F3 [i]
24Digital (159, 185, 82)-net over F3 [i]
25Digital (159, 186, 82)-net over F3 [i]
26Digital (159, 187, 82)-net over F3 [i]
27Digital (159, 188, 82)-net over F3 [i]
28Digital (159, 189, 82)-net over F3 [i]
29Digital (159, 190, 82)-net over F3 [i]
30Digital (159, 191, 82)-net over F3 [i]
31Digital (159, 192, 82)-net over F3 [i]
32Digital (159, 193, 82)-net over F3 [i]
33Digital (159, 194, 82)-net over F3 [i]
34Digital (159, 195, 82)-net over F3 [i]
35Digital (159, 196, 82)-net over F3 [i]
36Digital (159, 197, 82)-net over F3 [i]
37Digital (159, 198, 82)-net over F3 [i]
38Digital (159, 199, 82)-net over F3 [i]
39Digital (159, 200, 82)-net over F3 [i]
40Digital (159, 201, 82)-net over F3 [i]
41Digital (159, 202, 82)-net over F3 [i]
42Digital (159, 203, 82)-net over F3 [i]
43Digital (159, 204, 82)-net over F3 [i]
44Digital (159, 205, 82)-net over F3 [i]
45Digital (159, 206, 82)-net over F3 [i]
46Digital (159, 207, 82)-net over F3 [i]
47Digital (159, 208, 82)-net over F3 [i]
48Digital (159, 209, 82)-net over F3 [i]
49Digital (159, 210, 82)-net over F3 [i]
50Digital (159, 211, 82)-net over F3 [i]
51Digital (159, 212, 82)-net over F3 [i]
52Digital (159, 213, 82)-net over F3 [i]
53Digital (159, 214, 82)-net over F3 [i]
54Digital (159, 215, 82)-net over F3 [i]
55Digital (159, 216, 82)-net over F3 [i]
56Digital (159, 217, 82)-net over F3 [i]
57Digital (159, 218, 82)-net over F3 [i]
58Digital (159, 219, 82)-net over F3 [i]
59Digital (159, 220, 82)-net over F3 [i]
60Digital (159, 221, 82)-net over F3 [i]
61Digital (159, 222, 82)-net over F3 [i]
62Digital (159, 223, 82)-net over F3 [i]
63Digital (159, 224, 82)-net over F3 [i]
64Digital (159, 225, 82)-net over F3 [i]
65Digital (159, 226, 82)-net over F3 [i]
66Digital (159, 227, 82)-net over F3 [i]
67Digital (159, 228, 82)-net over F3 [i]
68Digital (159, 229, 82)-net over F3 [i]
69Digital (159, 230, 82)-net over F3 [i]
70Digital (159, 231, 82)-net over F3 [i]
71Digital (159, 232, 82)-net over F3 [i]
72Digital (159, 233, 82)-net over F3 [i]
73Digital (159, 234, 82)-net over F3 [i]
74Digital (159, 235, 82)-net over F3 [i]
75Digital (159, 236, 82)-net over F3 [i]
76Digital (159, 237, 82)-net over F3 [i]
77Digital (159, 238, 82)-net over F3 [i]
78Digital (159, 239, 82)-net over F3 [i]
79Digital (159, 240, 82)-net over F3 [i]
80Digital (159, 241, 82)-net over F3 [i]
81Digital (159, 242, 82)-net over F3 [i]
82Digital (159, 243, 82)-net over F3 [i]
83Digital (159, 244, 82)-net over F3 [i]
84Digital (159, 245, 82)-net over F3 [i]
85Digital (159, 246, 82)-net over F3 [i]
86Digital (159, 247, 82)-net over F3 [i]
87Digital (159, 248, 82)-net over F3 [i]
88Digital (159, 249, 82)-net over F3 [i]
89Digital (159, 250, 82)-net over F3 [i]
90Digital (159, m, 82)-net over F3 for arbitrarily large m [i]