Information on Result #601831

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