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