Information on Result #599862

There is no digital (1, 11, 17)-net over F9, because extracting embedded orthogonal array would yield linear OA(911, 17, F9, 10) (dual of [17, 6, 11]-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 (1, 12, 17)-net over F9 [i]m-Reduction
2No digital (1, 13, 17)-net over F9 [i]
3No digital (1, 14, 17)-net over F9 [i]
4No digital (1, 15, 17)-net over F9 [i]
5No digital (1, 16, 17)-net over F9 [i]
6No digital (1, 17, 17)-net over F9 [i]
7No digital (1, 18, 17)-net over F9 [i]
8No digital (1, 19, 17)-net over F9 [i]
9No digital (1, 20, 17)-net over F9 [i]
10No digital (1, 21, 17)-net over F9 [i]
11No digital (1, 22, 17)-net over F9 [i]
12No digital (1, 23, 17)-net over F9 [i]
13No digital (1, 24, 17)-net over F9 [i]
14No digital (1, 25, 17)-net over F9 [i]
15No digital (1, 26, 17)-net over F9 [i]
16No digital (1, 27, 17)-net over F9 [i]
17No digital (1, 28, 17)-net over F9 [i]
18No digital (1, 29, 17)-net over F9 [i]
19No digital (1, 30, 17)-net over F9 [i]
20No digital (1, 31, 17)-net over F9 [i]
21No digital (1, 32, 17)-net over F9 [i]
22No digital (1, 33, 17)-net over F9 [i]
23No digital (1, 34, 17)-net over F9 [i]
24No digital (1, 35, 17)-net over F9 [i]
25No digital (1, 36, 17)-net over F9 [i]
26No digital (1, 37, 17)-net over F9 [i]
27No digital (1, 38, 17)-net over F9 [i]
28No digital (1, 39, 17)-net over F9 [i]
29No digital (1, 40, 17)-net over F9 [i]
30No digital (1, 41, 17)-net over F9 [i]
31No digital (1, 42, 17)-net over F9 [i]
32No digital (1, 43, 17)-net over F9 [i]
33No digital (1, 44, 17)-net over F9 [i]
34No digital (1, 45, 17)-net over F9 [i]
35No digital (1, 46, 17)-net over F9 [i]
36No digital (1, 47, 17)-net over F9 [i]
37No digital (1, 48, 17)-net over F9 [i]
38No digital (1, 49, 17)-net over F9 [i]
39No digital (1, 50, 17)-net over F9 [i]
40No digital (1, 51, 17)-net over F9 [i]
41No digital (1, 52, 17)-net over F9 [i]
42No digital (1, 53, 17)-net over F9 [i]
43No digital (1, 54, 17)-net over F9 [i]
44No digital (1, 55, 17)-net over F9 [i]
45No digital (1, 56, 17)-net over F9 [i]
46No digital (1, 57, 17)-net over F9 [i]
47No digital (1, 58, 17)-net over F9 [i]
48No digital (1, 59, 17)-net over F9 [i]
49No digital (1, 60, 17)-net over F9 [i]
50No digital (1, 61, 17)-net over F9 [i]
51No digital (1, 62, 17)-net over F9 [i]
52No digital (1, 63, 17)-net over F9 [i]
53No digital (1, 64, 17)-net over F9 [i]
54No digital (1, 65, 17)-net over F9 [i]
55No digital (1, 66, 17)-net over F9 [i]
56No digital (1, 67, 17)-net over F9 [i]
57No digital (1, 68, 17)-net over F9 [i]
58No digital (1, 69, 17)-net over F9 [i]
59No digital (1, 70, 17)-net over F9 [i]
60No digital (1, 71, 17)-net over F9 [i]
61No digital (1, 72, 17)-net over F9 [i]
62No digital (1, 73, 17)-net over F9 [i]
63No digital (1, 74, 17)-net over F9 [i]
64No digital (1, 75, 17)-net over F9 [i]
65No digital (1, 76, 17)-net over F9 [i]
66No digital (1, 77, 17)-net over F9 [i]
67No digital (1, 78, 17)-net over F9 [i]
68No digital (1, 79, 17)-net over F9 [i]
69No digital (1, 80, 17)-net over F9 [i]
70No digital (1, 81, 17)-net over F9 [i]
71No digital (1, 82, 17)-net over F9 [i]
72No digital (1, 83, 17)-net over F9 [i]
73No digital (1, 84, 17)-net over F9 [i]
74No digital (1, 85, 17)-net over F9 [i]
75No digital (1, 86, 17)-net over F9 [i]
76No digital (1, 87, 17)-net over F9 [i]
77No digital (1, 88, 17)-net over F9 [i]
78No digital (1, 89, 17)-net over F9 [i]
79No digital (1, 90, 17)-net over F9 [i]
80No digital (1, 91, 17)-net over F9 [i]
81No digital (1, 92, 17)-net over F9 [i]
82No digital (1, 93, 17)-net over F9 [i]
83No digital (1, 94, 17)-net over F9 [i]
84No digital (1, 95, 17)-net over F9 [i]
85No digital (1, 96, 17)-net over F9 [i]
86No digital (1, 97, 17)-net over F9 [i]
87No digital (1, 98, 17)-net over F9 [i]
88No digital (1, 99, 17)-net over F9 [i]
89No digital (1, 100, 17)-net over F9 [i]
90No digital (1, 101, 17)-net over F9 [i]
91No digital (1, 102, 17)-net over F9 [i]
92No digital (1, 103, 17)-net over F9 [i]
93No digital (1, 104, 17)-net over F9 [i]
94No digital (1, 105, 17)-net over F9 [i]
95No digital (1, 106, 17)-net over F9 [i]
96No digital (1, 107, 17)-net over F9 [i]
97No digital (1, 108, 17)-net over F9 [i]
98No digital (1, 109, 17)-net over F9 [i]
99No digital (1, 110, 17)-net over F9 [i]
100No digital (1, 111, 17)-net over F9 [i]
101No digital (1, 112, 17)-net over F9 [i]
102No digital (1, 113, 17)-net over F9 [i]
103No digital (1, 114, 17)-net over F9 [i]
104No digital (1, 115, 17)-net over F9 [i]
105No digital (1, 116, 17)-net over F9 [i]
106No digital (1, 117, 17)-net over F9 [i]
107No digital (1, 118, 17)-net over F9 [i]
108No digital (1, 119, 17)-net over F9 [i]
109No digital (1, 120, 17)-net over F9 [i]
110No digital (1, 121, 17)-net over F9 [i]
111No digital (1, 122, 17)-net over F9 [i]
112No digital (1, 123, 17)-net over F9 [i]
113No digital (1, 124, 17)-net over F9 [i]
114No digital (1, 125, 17)-net over F9 [i]
115No digital (1, 126, 17)-net over F9 [i]
116No digital (1, 127, 17)-net over F9 [i]
117No digital (1, 128, 17)-net over F9 [i]
118No digital (1, 129, 17)-net over F9 [i]
119No digital (1, 130, 17)-net over F9 [i]
120No digital (1, 131, 17)-net over F9 [i]
121No digital (1, 132, 17)-net over F9 [i]
122No digital (1, 133, 17)-net over F9 [i]
123No digital (1, 134, 17)-net over F9 [i]
124No digital (1, 135, 17)-net over F9 [i]
125No digital (1, 136, 17)-net over F9 [i]
126No digital (1, 137, 17)-net over F9 [i]
127No digital (1, 138, 17)-net over F9 [i]
128No digital (1, 139, 17)-net over F9 [i]
129No digital (1, 140, 17)-net over F9 [i]
130No digital (1, 141, 17)-net over F9 [i]
131No digital (1, 142, 17)-net over F9 [i]
132No digital (1, 143, 17)-net over F9 [i]
133No digital (1, 144, 17)-net over F9 [i]
134No digital (1, 145, 17)-net over F9 [i]
135No digital (1, 146, 17)-net over F9 [i]
136No digital (1, 147, 17)-net over F9 [i]
137No digital (1, 148, 17)-net over F9 [i]
138No digital (1, 149, 17)-net over F9 [i]
139No digital (1, 150, 17)-net over F9 [i]
140No digital (1, m, 17)-net over F9 for arbitrarily large m [i]m-Reduction from Arbitrarily Large Net