Information on Result #1977307

There is no OA(9mm+nS9, 2) with finite m and arbitrarily large n, because lower bound on the number of runs for OAs with strength k = 2 and arbitrarily large number of factors s

Mode: Bound.

Optimality

Show details for fixed n and k.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(9mm+nS9, 3) with finite m and arbitrarily large n [i]Strength Reduction
2No OA(9mm+nS9, 4) with finite m and arbitrarily large n [i]
3No OA(9mm+nS9, 5) with finite m and arbitrarily large n [i]
4No OA(9mm+nS9, 6) with finite m and arbitrarily large n [i]
5No OA(9mm+nS9, 7) with finite m and arbitrarily large n [i]
6No OA(9mm+nS9, 8) with finite m and arbitrarily large n [i]
7No OA(9mm+nS9, 9) with finite m and arbitrarily large n [i]
8No OA(9mm+nS9, 10) with finite m and arbitrarily large n [i]
9No OA(9mm+nS9, 11) with finite m and arbitrarily large n [i]
10No OA(9mm+nS9, 12) with finite m and arbitrarily large n [i]
11No OA(9mm+nS9, 13) with finite m and arbitrarily large n [i]
12No OA(9mm+nS9, 14) with finite m and arbitrarily large n [i]
13No OA(9mm+nS9, 15) with finite m and arbitrarily large n [i]
14No OA(9mm+nS9, 16) with finite m and arbitrarily large n [i]
15No OA(9mm+nS9, 17) with finite m and arbitrarily large n [i]
16No OA(9mm+nS9, 18) with finite m and arbitrarily large n [i]
17No OA(9mm+nS9, 19) with finite m and arbitrarily large n [i]
18No OA(9mm+nS9, 20) with finite m and arbitrarily large n [i]
19No OA(9mm+nS9, 21) with finite m and arbitrarily large n [i]
20No OA(9mm+nS9, 22) with finite m and arbitrarily large n [i]
21No OA(9mm+nS9, 23) with finite m and arbitrarily large n [i]
22No OA(9mm+nS9, 24) with finite m and arbitrarily large n [i]
23No OA(9mm+nS9, 25) with finite m and arbitrarily large n [i]
24No OA(9mm+nS9, 26) with finite m and arbitrarily large n [i]
25No OA(9mm+nS9, 27) with finite m and arbitrarily large n [i]
26No OA(9mm+nS9, 28) with finite m and arbitrarily large n [i]
27No OA(9mm+nS9, 29) with finite m and arbitrarily large n [i]
28No OA(9mm+nS9, 30) with finite m and arbitrarily large n [i]
29No OA(9mm+nS9, 31) with finite m and arbitrarily large n [i]
30No OA(9mm+nS9, 32) with finite m and arbitrarily large n [i]
31No OA(9mm+nS9, 33) with finite m and arbitrarily large n [i]
32No OA(9mm+nS9, 34) with finite m and arbitrarily large n [i]
33No OA(9mm+nS9, 35) with finite m and arbitrarily large n [i]
34No OA(9mm+nS9, 36) with finite m and arbitrarily large n [i]
35No OA(9mm+nS9, 37) with finite m and arbitrarily large n [i]
36No OA(9mm+nS9, 38) with finite m and arbitrarily large n [i]
37No OA(9mm+nS9, 39) with finite m and arbitrarily large n [i]
38No OA(9mm+nS9, 40) with finite m and arbitrarily large n [i]
39No OA(9mm+nS9, 41) with finite m and arbitrarily large n [i]
40No OA(9mm+nS9, 42) with finite m and arbitrarily large n [i]
41No OA(9mm+nS9, 43) with finite m and arbitrarily large n [i]
42No OA(9mm+nS9, 44) with finite m and arbitrarily large n [i]
43No OA(9mm+nS9, 45) with finite m and arbitrarily large n [i]
44No OA(9mm+nS9, 46) with finite m and arbitrarily large n [i]
45No OA(9mm+nS9, 47) with finite m and arbitrarily large n [i]
46No OA(9mm+nS9, 48) with finite m and arbitrarily large n [i]
47No OA(9mm+nS9, 49) with finite m and arbitrarily large n [i]
48No OA(9mm+nS9, 50) with finite m and arbitrarily large n [i]
49No OA(9mm+nS9, 51) with finite m and arbitrarily large n [i]
50No OA(9mm+nS9, 52) with finite m and arbitrarily large n [i]
51No OA(9mm+nS9, 53) with finite m and arbitrarily large n [i]
52No OA(9mm+nS9, 54) with finite m and arbitrarily large n [i]
53No OA(9mm+nS9, 55) with finite m and arbitrarily large n [i]
54No OA(9mm+nS9, 56) with finite m and arbitrarily large n [i]
55No OA(9mm+nS9, 57) with finite m and arbitrarily large n [i]
56No OA(9mm+nS9, 58) with finite m and arbitrarily large n [i]
57No OA(9mm+nS9, 59) with finite m and arbitrarily large n [i]
58No OA(9mm+nS9, 60) with finite m and arbitrarily large n [i]
59No OA(9mm+nS9, 61) with finite m and arbitrarily large n [i]
60No OA(9mm+nS9, 62) with finite m and arbitrarily large n [i]
61No OA(9mm+nS9, 63) with finite m and arbitrarily large n [i]
62No OA(9mm+nS9, 64) with finite m and arbitrarily large n [i]
63No OA(9mm+nS9, 65) with finite m and arbitrarily large n [i]
64No OA(9mm+nS9, 66) with finite m and arbitrarily large n [i]
65No OA(9mm+nS9, 67) with finite m and arbitrarily large n [i]
66No OA(9mm+nS9, 68) with finite m and arbitrarily large n [i]
67No OA(9mm+nS9, 69) with finite m and arbitrarily large n [i]
68No OA(9mm+nS9, 70) with finite m and arbitrarily large n [i]
69No OA(9mm+nS9, 71) with finite m and arbitrarily large n [i]
70No OA(9mm+nS9, 72) with finite m and arbitrarily large n [i]
71No OA(9mm+nS9, 73) with finite m and arbitrarily large n [i]
72No OA(9mm+nS9, 74) with finite m and arbitrarily large n [i]
73No OA(9mm+nS9, 75) with finite m and arbitrarily large n [i]
74No OA(9mm+nS9, 76) with finite m and arbitrarily large n [i]
75No OA(9mm+nS9, 77) with finite m and arbitrarily large n [i]
76No OA(9mm+nS9, 78) with finite m and arbitrarily large n [i]
77No OA(9mm+nS9, 79) with finite m and arbitrarily large n [i]
78No OA(9mm+nS9, 80) with finite m and arbitrarily large n [i]
79No OA(9mm+nS9, 81) with finite m and arbitrarily large n [i]
80No OA(9mm+nS9, 82) with finite m and arbitrarily large n [i]
81No OA(9mm+nS9, 83) with finite m and arbitrarily large n [i]
82No OA(9mm+nS9, 84) with finite m and arbitrarily large n [i]
83No OA(9mm+nS9, 85) with finite m and arbitrarily large n [i]
84No OA(9mm+nS9, 86) with finite m and arbitrarily large n [i]
85No OA(9mm+nS9, 87) with finite m and arbitrarily large n [i]
86No OA(9mm+nS9, 88) with finite m and arbitrarily large n [i]
87No OA(9mm+nS9, 89) with finite m and arbitrarily large n [i]
88No OA(9mm+nS9, 90) with finite m and arbitrarily large n [i]
89No OA(9mm+nS9, 91) with finite m and arbitrarily large n [i]
90No OA(9mm+nS9, 92) with finite m and arbitrarily large n [i]
91No OA(9mm+nS9, 93) with finite m and arbitrarily large n [i]
92No OA(9mm+nS9, 94) with finite m and arbitrarily large n [i]
93No OA(9mm+nS9, 95) with finite m and arbitrarily large n [i]
94No OA(9mm+nS9, 96) with finite m and arbitrarily large n [i]
95No OA(9mm+nS9, 97) with finite m and arbitrarily large n [i]
96No OA(9mm+nS9, 98) with finite m and arbitrarily large n [i]
97No OA(9mm+nS9, 99) with finite m and arbitrarily large n [i]
98No OA(9mm+nS9, 100) with finite m and arbitrarily large n [i]
99No OA(9mm+nS9, 101) with finite m and arbitrarily large n [i]
100No OA(9mm+nS9, 102) with finite m and arbitrarily large n [i]
101No OA(9mm+nS9, 103) with finite m and arbitrarily large n [i]
102No OA(9mm+nS9, 104) with finite m and arbitrarily large n [i]
103No OA(9mm+nS9, 105) with finite m and arbitrarily large n [i]
104No OA(9mm+nS9, 106) with finite m and arbitrarily large n [i]
105No OA(9mm+nS9, 107) with finite m and arbitrarily large n [i]
106No OA(9mm+nS9, 108) with finite m and arbitrarily large n [i]
107No OA(9mm+nS9, 109) with finite m and arbitrarily large n [i]
108No OA(9mm+nS9, 110) with finite m and arbitrarily large n [i]
109No OA(9mm+nS9, 111) with finite m and arbitrarily large n [i]
110No OA(9mm+nS9, 112) with finite m and arbitrarily large n [i]
111No OA(9mm+nS9, 113) with finite m and arbitrarily large n [i]
112No OA(9mm+nS9, 114) with finite m and arbitrarily large n [i]
113No OA(9mm+nS9, 115) with finite m and arbitrarily large n [i]
114No OA(9mm+nS9, 116) with finite m and arbitrarily large n [i]
115No OA(9mm+nS9, 117) with finite m and arbitrarily large n [i]
116No OA(9mm+nS9, 118) with finite m and arbitrarily large n [i]
117No OA(9mm+nS9, 119) with finite m and arbitrarily large n [i]
118No OA(9mm+nS9, 120) with finite m and arbitrarily large n [i]
119No OA(9mm+nS9, 121) with finite m and arbitrarily large n [i]
120No OA(9mm+nS9, 122) with finite m and arbitrarily large n [i]
121No OA(9mm+nS9, 123) with finite m and arbitrarily large n [i]
122No OA(9mm+nS9, 124) with finite m and arbitrarily large n [i]
123No OA(9mm+nS9, 125) with finite m and arbitrarily large n [i]
124No OA(9mm+nS9, 126) with finite m and arbitrarily large n [i]
125No OA(9mm+nS9, 127) with finite m and arbitrarily large n [i]
126No OA(9mm+nS9, 128) with finite m and arbitrarily large n [i]
127No OA(9mm+nS9, 129) with finite m and arbitrarily large n [i]
128No OA(9mm+nS9, 130) with finite m and arbitrarily large n [i]
129No OA(9mm+nS9, 131) with finite m and arbitrarily large n [i]
130No OA(9mm+nS9, 132) with finite m and arbitrarily large n [i]
131No OA(9mm+nS9, 133) with finite m and arbitrarily large n [i]
132No OA(9mm+nS9, 134) with finite m and arbitrarily large n [i]
133No OA(9mm+nS9, 135) with finite m and arbitrarily large n [i]
134No OA(9mm+nS9, 136) with finite m and arbitrarily large n [i]
135No OA(9mm+nS9, 137) with finite m and arbitrarily large n [i]
136No OA(9mm+nS9, 138) with finite m and arbitrarily large n [i]
137No OA(9mm+nS9, 139) with finite m and arbitrarily large n [i]
138No OA(9mm+nS9, 140) with finite m and arbitrarily large n [i]
139No OA(9mm+nS9, 141) with finite m and arbitrarily large n [i]
140No OA(9mm+nS9, 142) with finite m and arbitrarily large n [i]
141No OA(9mm+nS9, 143) with finite m and arbitrarily large n [i]
142No OA(9mm+nS9, 144) with finite m and arbitrarily large n [i]
143No OA(9mm+nS9, 145) with finite m and arbitrarily large n [i]
144No OA(9mm+nS9, 146) with finite m and arbitrarily large n [i]
145No OA(9mm+nS9, 147) with finite m and arbitrarily large n [i]
146No OA(9mm+nS9, 148) with finite m and arbitrarily large n [i]
147No OA(9mm+nS9, 149) with finite m and arbitrarily large n [i]
148No OA(9mm+nS9, 150) with finite m and arbitrarily large n [i]