Information on Result #599441

There is no digital (41, 169, 173)-net over F4, because extracting embedded orthogonal array would yield linear OA(4169, 173, F4, 128) (dual of [173, 4, 129]-code), but

Mode: Bound (linear).

Optimality

Show details for fixed k and m, 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
1No digital (41, 170, 173)-net over F4 [i]m-Reduction
2No digital (41, 171, 173)-net over F4 [i]
3No digital (41, 172, 173)-net over F4 [i]
4No digital (41, 173, 173)-net over F4 [i]
5No digital (41, 174, 173)-net over F4 [i]
6No digital (41, 175, 173)-net over F4 [i]
7No digital (41, 176, 173)-net over F4 [i]
8No digital (41, 177, 173)-net over F4 [i]
9No digital (41, 178, 173)-net over F4 [i]
10No digital (41, 179, 173)-net over F4 [i]
11No digital (41, 180, 173)-net over F4 [i]
12No digital (41, 181, 173)-net over F4 [i]
13No digital (41, 182, 173)-net over F4 [i]
14No digital (41, 183, 173)-net over F4 [i]
15No digital (41, 184, 173)-net over F4 [i]
16No digital (41, 185, 173)-net over F4 [i]
17No digital (41, 186, 173)-net over F4 [i]
18No digital (41, 187, 173)-net over F4 [i]
19No digital (41, 188, 173)-net over F4 [i]
20No digital (41, 189, 173)-net over F4 [i]
21No digital (41, 190, 173)-net over F4 [i]
22No digital (41, 191, 173)-net over F4 [i]
23No digital (41, 192, 173)-net over F4 [i]
24No digital (41, 193, 173)-net over F4 [i]
25No digital (41, 194, 173)-net over F4 [i]
26No digital (41, 195, 173)-net over F4 [i]
27No digital (41, 196, 173)-net over F4 [i]
28No digital (41, 197, 173)-net over F4 [i]
29No digital (41, 198, 173)-net over F4 [i]
30No digital (41, 199, 173)-net over F4 [i]
31No digital (41, 200, 173)-net over F4 [i]
32No digital (41, 201, 173)-net over F4 [i]
33No digital (41, 202, 173)-net over F4 [i]
34No digital (41, 203, 173)-net over F4 [i]
35No digital (41, 204, 173)-net over F4 [i]
36No digital (41, 205, 173)-net over F4 [i]
37No digital (41, 206, 173)-net over F4 [i]
38No digital (41, 207, 173)-net over F4 [i]
39No digital (41, 208, 173)-net over F4 [i]
40No digital (41, 209, 173)-net over F4 [i]
41No digital (41, 210, 173)-net over F4 [i]
42No digital (41, 211, 173)-net over F4 [i]
43No digital (41, 212, 173)-net over F4 [i]
44No digital (41, 213, 173)-net over F4 [i]
45No digital (41, 214, 173)-net over F4 [i]
46No digital (41, 215, 173)-net over F4 [i]
47No digital (41, 216, 173)-net over F4 [i]
48No digital (41, 217, 173)-net over F4 [i]
49No digital (41, 218, 173)-net over F4 [i]
50No digital (41, 219, 173)-net over F4 [i]
51No digital (41, 220, 173)-net over F4 [i]
52No digital (41, 221, 173)-net over F4 [i]
53No digital (41, 222, 173)-net over F4 [i]
54No digital (41, 223, 173)-net over F4 [i]
55No digital (41, 224, 173)-net over F4 [i]
56No digital (41, 225, 173)-net over F4 [i]
57No digital (41, 226, 173)-net over F4 [i]
58No digital (41, 227, 173)-net over F4 [i]
59No digital (41, 228, 173)-net over F4 [i]
60No digital (41, 229, 173)-net over F4 [i]
61No digital (41, 230, 173)-net over F4 [i]
62No digital (41, 231, 173)-net over F4 [i]
63No digital (41, 232, 173)-net over F4 [i]
64No digital (41, 233, 173)-net over F4 [i]
65No digital (41, 234, 173)-net over F4 [i]
66No digital (41, 235, 173)-net over F4 [i]
67No digital (41, 236, 173)-net over F4 [i]
68No digital (41, 237, 173)-net over F4 [i]
69No digital (41, 238, 173)-net over F4 [i]
70No digital (41, 239, 173)-net over F4 [i]
71No digital (41, 240, 173)-net over F4 [i]
72No digital (41, 241, 173)-net over F4 [i]
73No digital (41, 242, 173)-net over F4 [i]
74No digital (41, 243, 173)-net over F4 [i]
75No digital (41, 244, 173)-net over F4 [i]
76No digital (41, 245, 173)-net over F4 [i]
77No digital (41, 246, 173)-net over F4 [i]
78No digital (41, 247, 173)-net over F4 [i]
79No digital (41, 248, 173)-net over F4 [i]
80No digital (41, 249, 173)-net over F4 [i]
81No digital (41, 250, 173)-net over F4 [i]
82No digital (41, 251, 173)-net over F4 [i]
83No digital (41, 252, 173)-net over F4 [i]
84No digital (41, 253, 173)-net over F4 [i]
85No digital (41, 254, 173)-net over F4 [i]
86No digital (41, 255, 173)-net over F4 [i]
87No digital (41, 256, 173)-net over F4 [i]
88No digital (41, 257, 173)-net over F4 [i]
89No digital (41, 258, 173)-net over F4 [i]
90No digital (41, 259, 173)-net over F4 [i]
91No digital (41, 260, 173)-net over F4 [i]