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
- the linear programming bound for OOAs shows that M ≥ 6103 515625 / 121 > 511 [i]
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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No (1, 12, 12)-net in base 5 | [i] | m-Reduction | |
2 | No (1, 13, 12)-net in base 5 | [i] | ||
3 | No (1, 14, 12)-net in base 5 | [i] | ||
4 | No (1, 15, 12)-net in base 5 | [i] | ||
5 | No (1, 16, 12)-net in base 5 | [i] | ||
6 | No (1, 17, 12)-net in base 5 | [i] | ||
7 | No (1, 18, 12)-net in base 5 | [i] | ||
8 | No (1, 19, 12)-net in base 5 | [i] | ||
9 | No (1, 20, 12)-net in base 5 | [i] | ||
10 | No (1, 21, 12)-net in base 5 | [i] | ||
11 | No (1, 22, 12)-net in base 5 | [i] | ||
12 | No (1, 23, 12)-net in base 5 | [i] | ||
13 | No (1, 24, 12)-net in base 5 | [i] | ||
14 | No (1, 25, 12)-net in base 5 | [i] | ||
15 | No (1, 26, 12)-net in base 5 | [i] | ||
16 | No (1, 27, 12)-net in base 5 | [i] | ||
17 | No (1, 28, 12)-net in base 5 | [i] | ||
18 | No (1, 29, 12)-net in base 5 | [i] | ||
19 | No (1, 30, 12)-net in base 5 | [i] | ||
20 | No (1, 31, 12)-net in base 5 | [i] | ||
21 | No (1, 32, 12)-net in base 5 | [i] | ||
22 | No (1, 33, 12)-net in base 5 | [i] | ||
23 | No (1, 34, 12)-net in base 5 | [i] | ||
24 | No (1, 35, 12)-net in base 5 | [i] | ||
25 | No (1, 36, 12)-net in base 5 | [i] | ||
26 | No (1, 37, 12)-net in base 5 | [i] | ||
27 | No (1, 38, 12)-net in base 5 | [i] | ||
28 | No (1, 39, 12)-net in base 5 | [i] | ||
29 | No (1, 40, 12)-net in base 5 | [i] | ||
30 | No (1, 41, 12)-net in base 5 | [i] | ||
31 | No (1, 42, 12)-net in base 5 | [i] | ||
32 | No (1, 43, 12)-net in base 5 | [i] | ||
33 | No (1, 44, 12)-net in base 5 | [i] | ||
34 | No (1, 45, 12)-net in base 5 | [i] | ||
35 | No (1, 46, 12)-net in base 5 | [i] | ||
36 | No (1, 47, 12)-net in base 5 | [i] | ||
37 | No (1, 48, 12)-net in base 5 | [i] | ||
38 | No (1, 49, 12)-net in base 5 | [i] | ||
39 | No (1, 50, 12)-net in base 5 | [i] | ||
40 | No (1, 51, 12)-net in base 5 | [i] | ||
41 | No (1, 52, 12)-net in base 5 | [i] | ||
42 | No (1, 53, 12)-net in base 5 | [i] | ||
43 | No (1, 54, 12)-net in base 5 | [i] | ||
44 | No (1, 55, 12)-net in base 5 | [i] | ||
45 | No (1, 56, 12)-net in base 5 | [i] | ||
46 | No (1, 57, 12)-net in base 5 | [i] | ||
47 | No (1, 58, 12)-net in base 5 | [i] | ||
48 | No (1, 59, 12)-net in base 5 | [i] | ||
49 | No (1, 60, 12)-net in base 5 | [i] | ||
50 | No (1, 61, 12)-net in base 5 | [i] | ||
51 | No (1, 62, 12)-net in base 5 | [i] | ||
52 | No (1, 63, 12)-net in base 5 | [i] | ||
53 | No (1, 64, 12)-net in base 5 | [i] | ||
54 | No (1, 65, 12)-net in base 5 | [i] | ||
55 | No (1, 66, 12)-net in base 5 | [i] | ||
56 | No (1, 67, 12)-net in base 5 | [i] | ||
57 | No (1, 68, 12)-net in base 5 | [i] | ||
58 | No (1, 69, 12)-net in base 5 | [i] | ||
59 | No (1, 70, 12)-net in base 5 | [i] | ||
60 | No (1, 71, 12)-net in base 5 | [i] | ||
61 | No (1, 72, 12)-net in base 5 | [i] | ||
62 | No (1, 73, 12)-net in base 5 | [i] | ||
63 | No (1, 74, 12)-net in base 5 | [i] | ||
64 | No (1, 75, 12)-net in base 5 | [i] | ||
65 | No (1, 76, 12)-net in base 5 | [i] | ||
66 | No (1, 77, 12)-net in base 5 | [i] | ||
67 | No (1, 78, 12)-net in base 5 | [i] | ||
68 | No (1, 79, 12)-net in base 5 | [i] | ||
69 | No (1, 80, 12)-net in base 5 | [i] | ||
70 | No (1, 81, 12)-net in base 5 | [i] | ||
71 | No (1, 82, 12)-net in base 5 | [i] | ||
72 | No (1, 83, 12)-net in base 5 | [i] | ||
73 | No (1, 84, 12)-net in base 5 | [i] | ||
74 | No (1, 85, 12)-net in base 5 | [i] | ||
75 | No (1, 86, 12)-net in base 5 | [i] | ||
76 | No (1, 87, 12)-net in base 5 | [i] | ||
77 | No (1, 88, 12)-net in base 5 | [i] | ||
78 | No (1, 89, 12)-net in base 5 | [i] | ||
79 | No (1, 90, 12)-net in base 5 | [i] | ||
80 | No (1, 91, 12)-net in base 5 | [i] | ||
81 | No (1, 92, 12)-net in base 5 | [i] | ||
82 | No (1, 93, 12)-net in base 5 | [i] | ||
83 | No (1, 94, 12)-net in base 5 | [i] | ||
84 | No (1, 95, 12)-net in base 5 | [i] | ||
85 | No (1, 96, 12)-net in base 5 | [i] | ||
86 | No (1, 97, 12)-net in base 5 | [i] | ||
87 | No (1, 98, 12)-net in base 5 | [i] | ||
88 | No (1, 99, 12)-net in base 5 | [i] | ||
89 | No (1, 100, 12)-net in base 5 | [i] | ||
90 | No (1, 101, 12)-net in base 5 | [i] | ||
91 | No (1, 102, 12)-net in base 5 | [i] | ||
92 | No (1, 103, 12)-net in base 5 | [i] | ||
93 | No (1, 104, 12)-net in base 5 | [i] | ||
94 | No (1, 105, 12)-net in base 5 | [i] | ||
95 | No (1, 106, 12)-net in base 5 | [i] | ||
96 | No (1, 107, 12)-net in base 5 | [i] | ||
97 | No (1, 108, 12)-net in base 5 | [i] | ||
98 | No (1, 109, 12)-net in base 5 | [i] | ||
99 | No (1, 110, 12)-net in base 5 | [i] | ||
100 | No (1, 111, 12)-net in base 5 | [i] | ||
101 | No (1, 112, 12)-net in base 5 | [i] | ||
102 | No (1, 113, 12)-net in base 5 | [i] | ||
103 | No (1, 114, 12)-net in base 5 | [i] | ||
104 | No (1, 115, 12)-net in base 5 | [i] | ||
105 | No (1, 116, 12)-net in base 5 | [i] | ||
106 | No (1, 117, 12)-net in base 5 | [i] | ||
107 | No (1, 118, 12)-net in base 5 | [i] | ||
108 | No (1, 119, 12)-net in base 5 | [i] | ||
109 | No (1, 120, 12)-net in base 5 | [i] | ||
110 | No (1, 121, 12)-net in base 5 | [i] | ||
111 | No (1, 122, 12)-net in base 5 | [i] | ||
112 | No (1, 123, 12)-net in base 5 | [i] | ||
113 | No (1, 124, 12)-net in base 5 | [i] | ||
114 | No (1, 125, 12)-net in base 5 | [i] | ||
115 | No (1, 126, 12)-net in base 5 | [i] | ||
116 | No (1, 127, 12)-net in base 5 | [i] | ||
117 | No (1, 128, 12)-net in base 5 | [i] | ||
118 | No (1, 129, 12)-net in base 5 | [i] | ||
119 | No (1, 130, 12)-net in base 5 | [i] | ||
120 | No (1, 131, 12)-net in base 5 | [i] | ||
121 | No (1, 132, 12)-net in base 5 | [i] | ||
122 | No (1, 133, 12)-net in base 5 | [i] | ||
123 | No (1, 134, 12)-net in base 5 | [i] | ||
124 | No (1, 135, 12)-net in base 5 | [i] | ||
125 | No (1, 136, 12)-net in base 5 | [i] | ||
126 | No (1, 137, 12)-net in base 5 | [i] | ||
127 | No (1, 138, 12)-net in base 5 | [i] | ||
128 | No (1, 139, 12)-net in base 5 | [i] | ||
129 | No (1, 140, 12)-net in base 5 | [i] | ||
130 | No (1, 141, 12)-net in base 5 | [i] | ||
131 | No (1, 142, 12)-net in base 5 | [i] | ||
132 | No (1, 143, 12)-net in base 5 | [i] | ||
133 | No (1, 144, 12)-net in base 5 | [i] | ||
134 | No (1, 145, 12)-net in base 5 | [i] | ||
135 | No (1, 146, 12)-net in base 5 | [i] | ||
136 | No (1, 147, 12)-net in base 5 | [i] | ||
137 | No (1, 148, 12)-net in base 5 | [i] | ||
138 | No (1, 149, 12)-net in base 5 | [i] | ||
139 | No (1, 150, 12)-net in base 5 | [i] | ||
140 | No (1, m, 12)-net in base 5 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net |