Information on Result #522374

There is no (1, 11, 12)-net in base 5, because extracting embedded OOA would yield OOA(511, 12, S5, 2, 10), but

Mode: Bound.

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