Information on Result #599878

There is no digital (5, 50, 55)-net over F9, because extracting embedded orthogonal array would yield linear OA(950, 55, F9, 45) (dual of [55, 5, 46]-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 (5, 51, 55)-net over F9 [i]m-Reduction
2No digital (5, 52, 55)-net over F9 [i]
3No digital (5, 53, 55)-net over F9 [i]
4No digital (5, 54, 55)-net over F9 [i]
5No digital (5, 55, 55)-net over F9 [i]
6No digital (5, 56, 55)-net over F9 [i]
7No digital (5, 57, 55)-net over F9 [i]
8No digital (5, 58, 55)-net over F9 [i]
9No digital (5, 59, 55)-net over F9 [i]
10No digital (5, 60, 55)-net over F9 [i]
11No digital (5, 61, 55)-net over F9 [i]
12No digital (5, 62, 55)-net over F9 [i]
13No digital (5, 63, 55)-net over F9 [i]
14No digital (5, 64, 55)-net over F9 [i]
15No digital (5, 65, 55)-net over F9 [i]
16No digital (5, 66, 55)-net over F9 [i]
17No digital (5, 67, 55)-net over F9 [i]
18No digital (5, 68, 55)-net over F9 [i]
19No digital (5, 69, 55)-net over F9 [i]
20No digital (5, 70, 55)-net over F9 [i]
21No digital (5, 71, 55)-net over F9 [i]
22No digital (5, 72, 55)-net over F9 [i]
23No digital (5, 73, 55)-net over F9 [i]
24No digital (5, 74, 55)-net over F9 [i]
25No digital (5, 75, 55)-net over F9 [i]
26No digital (5, 76, 55)-net over F9 [i]
27No digital (5, 77, 55)-net over F9 [i]
28No digital (5, 78, 55)-net over F9 [i]
29No digital (5, 79, 55)-net over F9 [i]
30No digital (5, 80, 55)-net over F9 [i]
31No digital (5, 81, 55)-net over F9 [i]
32No digital (5, 82, 55)-net over F9 [i]
33No digital (5, 83, 55)-net over F9 [i]
34No digital (5, 84, 55)-net over F9 [i]
35No digital (5, 85, 55)-net over F9 [i]
36No digital (5, 86, 55)-net over F9 [i]
37No digital (5, 87, 55)-net over F9 [i]
38No digital (5, 88, 55)-net over F9 [i]
39No digital (5, 89, 55)-net over F9 [i]
40No digital (5, 90, 55)-net over F9 [i]
41No digital (5, 91, 55)-net over F9 [i]
42No digital (5, 92, 55)-net over F9 [i]
43No digital (5, 93, 55)-net over F9 [i]
44No digital (5, 94, 55)-net over F9 [i]
45No digital (5, 95, 55)-net over F9 [i]
46No digital (5, 96, 55)-net over F9 [i]
47No digital (5, 97, 55)-net over F9 [i]
48No digital (5, 98, 55)-net over F9 [i]
49No digital (5, 99, 55)-net over F9 [i]
50No digital (5, 100, 55)-net over F9 [i]
51No digital (5, 101, 55)-net over F9 [i]
52No digital (5, 102, 55)-net over F9 [i]
53No digital (5, 103, 55)-net over F9 [i]
54No digital (5, 104, 55)-net over F9 [i]
55No digital (5, 105, 55)-net over F9 [i]
56No digital (5, 106, 55)-net over F9 [i]
57No digital (5, 107, 55)-net over F9 [i]
58No digital (5, 108, 55)-net over F9 [i]
59No digital (5, 109, 55)-net over F9 [i]
60No digital (5, 110, 55)-net over F9 [i]
61No digital (5, 111, 55)-net over F9 [i]
62No digital (5, 112, 55)-net over F9 [i]
63No digital (5, 113, 55)-net over F9 [i]
64No digital (5, 114, 55)-net over F9 [i]
65No digital (5, 115, 55)-net over F9 [i]
66No digital (5, 116, 55)-net over F9 [i]
67No digital (5, 117, 55)-net over F9 [i]
68No digital (5, 118, 55)-net over F9 [i]
69No digital (5, 119, 55)-net over F9 [i]
70No digital (5, 120, 55)-net over F9 [i]
71No digital (5, 121, 55)-net over F9 [i]
72No digital (5, 122, 55)-net over F9 [i]
73No digital (5, 123, 55)-net over F9 [i]
74No digital (5, 124, 55)-net over F9 [i]
75No digital (5, 125, 55)-net over F9 [i]
76No digital (5, 126, 55)-net over F9 [i]
77No digital (5, 127, 55)-net over F9 [i]
78No digital (5, 128, 55)-net over F9 [i]
79No digital (5, 129, 55)-net over F9 [i]
80No digital (5, 130, 55)-net over F9 [i]
81No digital (5, 131, 55)-net over F9 [i]
82No digital (5, 132, 55)-net over F9 [i]
83No digital (5, 133, 55)-net over F9 [i]
84No digital (5, 134, 55)-net over F9 [i]
85No digital (5, 135, 55)-net over F9 [i]
86No digital (5, 136, 55)-net over F9 [i]
87No digital (5, 137, 55)-net over F9 [i]
88No digital (5, 138, 55)-net over F9 [i]
89No digital (5, 139, 55)-net over F9 [i]
90No digital (5, 140, 55)-net over F9 [i]
91No digital (5, 141, 55)-net over F9 [i]
92No digital (5, 142, 55)-net over F9 [i]
93No digital (5, 143, 55)-net over F9 [i]
94No digital (5, 144, 55)-net over F9 [i]
95No digital (5, 145, 55)-net over F9 [i]
96No digital (5, 146, 55)-net over F9 [i]
97No digital (5, 147, 55)-net over F9 [i]
98No digital (5, 148, 55)-net over F9 [i]
99No digital (5, 149, 55)-net over F9 [i]
100No digital (5, 150, 55)-net over F9 [i]
101No digital (5, m, 55)-net over F9 for arbitrarily large m [i]m-Reduction from Arbitrarily Large Net