Information on Result #1977304

There is no OA(8mm+nS8, 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(8mm+nS8, 3) with finite m and arbitrarily large n [i]Strength Reduction
2No OA(8mm+nS8, 4) with finite m and arbitrarily large n [i]
3No OA(8mm+nS8, 5) with finite m and arbitrarily large n [i]
4No OA(8mm+nS8, 6) with finite m and arbitrarily large n [i]
5No OA(8mm+nS8, 7) with finite m and arbitrarily large n [i]
6No OA(8mm+nS8, 8) with finite m and arbitrarily large n [i]
7No OA(8mm+nS8, 9) with finite m and arbitrarily large n [i]
8No OA(8mm+nS8, 10) with finite m and arbitrarily large n [i]
9No OA(8mm+nS8, 11) with finite m and arbitrarily large n [i]
10No OA(8mm+nS8, 12) with finite m and arbitrarily large n [i]
11No OA(8mm+nS8, 13) with finite m and arbitrarily large n [i]
12No OA(8mm+nS8, 14) with finite m and arbitrarily large n [i]
13No OA(8mm+nS8, 15) with finite m and arbitrarily large n [i]
14No OA(8mm+nS8, 16) with finite m and arbitrarily large n [i]
15No OA(8mm+nS8, 17) with finite m and arbitrarily large n [i]
16No OA(8mm+nS8, 18) with finite m and arbitrarily large n [i]
17No OA(8mm+nS8, 19) with finite m and arbitrarily large n [i]
18No OA(8mm+nS8, 20) with finite m and arbitrarily large n [i]
19No OA(8mm+nS8, 21) with finite m and arbitrarily large n [i]
20No OA(8mm+nS8, 22) with finite m and arbitrarily large n [i]
21No OA(8mm+nS8, 23) with finite m and arbitrarily large n [i]
22No OA(8mm+nS8, 24) with finite m and arbitrarily large n [i]
23No OA(8mm+nS8, 25) with finite m and arbitrarily large n [i]
24No OA(8mm+nS8, 26) with finite m and arbitrarily large n [i]
25No OA(8mm+nS8, 27) with finite m and arbitrarily large n [i]
26No OA(8mm+nS8, 28) with finite m and arbitrarily large n [i]
27No OA(8mm+nS8, 29) with finite m and arbitrarily large n [i]
28No OA(8mm+nS8, 30) with finite m and arbitrarily large n [i]
29No OA(8mm+nS8, 31) with finite m and arbitrarily large n [i]
30No OA(8mm+nS8, 32) with finite m and arbitrarily large n [i]
31No OA(8mm+nS8, 33) with finite m and arbitrarily large n [i]
32No OA(8mm+nS8, 34) with finite m and arbitrarily large n [i]
33No OA(8mm+nS8, 35) with finite m and arbitrarily large n [i]
34No OA(8mm+nS8, 36) with finite m and arbitrarily large n [i]
35No OA(8mm+nS8, 37) with finite m and arbitrarily large n [i]
36No OA(8mm+nS8, 38) with finite m and arbitrarily large n [i]
37No OA(8mm+nS8, 39) with finite m and arbitrarily large n [i]
38No OA(8mm+nS8, 40) with finite m and arbitrarily large n [i]
39No OA(8mm+nS8, 41) with finite m and arbitrarily large n [i]
40No OA(8mm+nS8, 42) with finite m and arbitrarily large n [i]
41No OA(8mm+nS8, 43) with finite m and arbitrarily large n [i]
42No OA(8mm+nS8, 44) with finite m and arbitrarily large n [i]
43No OA(8mm+nS8, 45) with finite m and arbitrarily large n [i]
44No OA(8mm+nS8, 46) with finite m and arbitrarily large n [i]
45No OA(8mm+nS8, 47) with finite m and arbitrarily large n [i]
46No OA(8mm+nS8, 48) with finite m and arbitrarily large n [i]
47No OA(8mm+nS8, 49) with finite m and arbitrarily large n [i]
48No OA(8mm+nS8, 50) with finite m and arbitrarily large n [i]
49No OA(8mm+nS8, 51) with finite m and arbitrarily large n [i]
50No OA(8mm+nS8, 52) with finite m and arbitrarily large n [i]
51No OA(8mm+nS8, 53) with finite m and arbitrarily large n [i]
52No OA(8mm+nS8, 54) with finite m and arbitrarily large n [i]
53No OA(8mm+nS8, 55) with finite m and arbitrarily large n [i]
54No OA(8mm+nS8, 56) with finite m and arbitrarily large n [i]
55No OA(8mm+nS8, 57) with finite m and arbitrarily large n [i]
56No OA(8mm+nS8, 58) with finite m and arbitrarily large n [i]
57No OA(8mm+nS8, 59) with finite m and arbitrarily large n [i]
58No OA(8mm+nS8, 60) with finite m and arbitrarily large n [i]
59No OA(8mm+nS8, 61) with finite m and arbitrarily large n [i]
60No OA(8mm+nS8, 62) with finite m and arbitrarily large n [i]
61No OA(8mm+nS8, 63) with finite m and arbitrarily large n [i]
62No OA(8mm+nS8, 64) with finite m and arbitrarily large n [i]
63No OA(8mm+nS8, 65) with finite m and arbitrarily large n [i]
64No OA(8mm+nS8, 66) with finite m and arbitrarily large n [i]
65No OA(8mm+nS8, 67) with finite m and arbitrarily large n [i]
66No OA(8mm+nS8, 68) with finite m and arbitrarily large n [i]
67No OA(8mm+nS8, 69) with finite m and arbitrarily large n [i]
68No OA(8mm+nS8, 70) with finite m and arbitrarily large n [i]
69No OA(8mm+nS8, 71) with finite m and arbitrarily large n [i]
70No OA(8mm+nS8, 72) with finite m and arbitrarily large n [i]
71No OA(8mm+nS8, 73) with finite m and arbitrarily large n [i]
72No OA(8mm+nS8, 74) with finite m and arbitrarily large n [i]
73No OA(8mm+nS8, 75) with finite m and arbitrarily large n [i]
74No OA(8mm+nS8, 76) with finite m and arbitrarily large n [i]
75No OA(8mm+nS8, 77) with finite m and arbitrarily large n [i]
76No OA(8mm+nS8, 78) with finite m and arbitrarily large n [i]
77No OA(8mm+nS8, 79) with finite m and arbitrarily large n [i]
78No OA(8mm+nS8, 80) with finite m and arbitrarily large n [i]
79No OA(8mm+nS8, 81) with finite m and arbitrarily large n [i]
80No OA(8mm+nS8, 82) with finite m and arbitrarily large n [i]
81No OA(8mm+nS8, 83) with finite m and arbitrarily large n [i]
82No OA(8mm+nS8, 84) with finite m and arbitrarily large n [i]
83No OA(8mm+nS8, 85) with finite m and arbitrarily large n [i]
84No OA(8mm+nS8, 86) with finite m and arbitrarily large n [i]
85No OA(8mm+nS8, 87) with finite m and arbitrarily large n [i]
86No OA(8mm+nS8, 88) with finite m and arbitrarily large n [i]
87No OA(8mm+nS8, 89) with finite m and arbitrarily large n [i]
88No OA(8mm+nS8, 90) with finite m and arbitrarily large n [i]
89No OA(8mm+nS8, 91) with finite m and arbitrarily large n [i]
90No OA(8mm+nS8, 92) with finite m and arbitrarily large n [i]
91No OA(8mm+nS8, 93) with finite m and arbitrarily large n [i]
92No OA(8mm+nS8, 94) with finite m and arbitrarily large n [i]
93No OA(8mm+nS8, 95) with finite m and arbitrarily large n [i]
94No OA(8mm+nS8, 96) with finite m and arbitrarily large n [i]
95No OA(8mm+nS8, 97) with finite m and arbitrarily large n [i]
96No OA(8mm+nS8, 98) with finite m and arbitrarily large n [i]
97No OA(8mm+nS8, 99) with finite m and arbitrarily large n [i]
98No OA(8mm+nS8, 100) with finite m and arbitrarily large n [i]
99No OA(8mm+nS8, 101) with finite m and arbitrarily large n [i]
100No OA(8mm+nS8, 102) with finite m and arbitrarily large n [i]
101No OA(8mm+nS8, 103) with finite m and arbitrarily large n [i]
102No OA(8mm+nS8, 104) with finite m and arbitrarily large n [i]
103No OA(8mm+nS8, 105) with finite m and arbitrarily large n [i]
104No OA(8mm+nS8, 106) with finite m and arbitrarily large n [i]
105No OA(8mm+nS8, 107) with finite m and arbitrarily large n [i]
106No OA(8mm+nS8, 108) with finite m and arbitrarily large n [i]
107No OA(8mm+nS8, 109) with finite m and arbitrarily large n [i]
108No OA(8mm+nS8, 110) with finite m and arbitrarily large n [i]
109No OA(8mm+nS8, 111) with finite m and arbitrarily large n [i]
110No OA(8mm+nS8, 112) with finite m and arbitrarily large n [i]
111No OA(8mm+nS8, 113) with finite m and arbitrarily large n [i]
112No OA(8mm+nS8, 114) with finite m and arbitrarily large n [i]
113No OA(8mm+nS8, 115) with finite m and arbitrarily large n [i]
114No OA(8mm+nS8, 116) with finite m and arbitrarily large n [i]
115No OA(8mm+nS8, 117) with finite m and arbitrarily large n [i]
116No OA(8mm+nS8, 118) with finite m and arbitrarily large n [i]
117No OA(8mm+nS8, 119) with finite m and arbitrarily large n [i]
118No OA(8mm+nS8, 120) with finite m and arbitrarily large n [i]
119No OA(8mm+nS8, 121) with finite m and arbitrarily large n [i]
120No OA(8mm+nS8, 122) with finite m and arbitrarily large n [i]
121No OA(8mm+nS8, 123) with finite m and arbitrarily large n [i]
122No OA(8mm+nS8, 124) with finite m and arbitrarily large n [i]
123No OA(8mm+nS8, 125) with finite m and arbitrarily large n [i]
124No OA(8mm+nS8, 126) with finite m and arbitrarily large n [i]
125No OA(8mm+nS8, 127) with finite m and arbitrarily large n [i]
126No OA(8mm+nS8, 128) with finite m and arbitrarily large n [i]
127No OA(8mm+nS8, 129) with finite m and arbitrarily large n [i]
128No OA(8mm+nS8, 130) with finite m and arbitrarily large n [i]
129No OA(8mm+nS8, 131) with finite m and arbitrarily large n [i]
130No OA(8mm+nS8, 132) with finite m and arbitrarily large n [i]
131No OA(8mm+nS8, 133) with finite m and arbitrarily large n [i]
132No OA(8mm+nS8, 134) with finite m and arbitrarily large n [i]
133No OA(8mm+nS8, 135) with finite m and arbitrarily large n [i]
134No OA(8mm+nS8, 136) with finite m and arbitrarily large n [i]
135No OA(8mm+nS8, 137) with finite m and arbitrarily large n [i]
136No OA(8mm+nS8, 138) with finite m and arbitrarily large n [i]
137No OA(8mm+nS8, 139) with finite m and arbitrarily large n [i]
138No OA(8mm+nS8, 140) with finite m and arbitrarily large n [i]
139No OA(8mm+nS8, 141) with finite m and arbitrarily large n [i]
140No OA(8mm+nS8, 142) with finite m and arbitrarily large n [i]
141No OA(8mm+nS8, 143) with finite m and arbitrarily large n [i]
142No OA(8mm+nS8, 144) with finite m and arbitrarily large n [i]
143No OA(8mm+nS8, 145) with finite m and arbitrarily large n [i]
144No OA(8mm+nS8, 146) with finite m and arbitrarily large n [i]
145No OA(8mm+nS8, 147) with finite m and arbitrarily large n [i]
146No OA(8mm+nS8, 148) with finite m and arbitrarily large n [i]
147No OA(8mm+nS8, 149) with finite m and arbitrarily large n [i]
148No OA(8mm+nS8, 150) with finite m and arbitrarily large n [i]
149No OA(8mm+nS8, 151) with finite m and arbitrarily large n [i]
150No OA(8mm+nS8, 152) with finite m and arbitrarily large n [i]
151No OA(8mm+nS8, 153) with finite m and arbitrarily large n [i]
152No OA(8mm+nS8, 154) with finite m and arbitrarily large n [i]
153No OA(8mm+nS8, 155) with finite m and arbitrarily large n [i]
154No OA(8mm+nS8, 156) with finite m and arbitrarily large n [i]
155No OA(8mm+nS8, 157) with finite m and arbitrarily large n [i]
156No OA(8mm+nS8, 158) with finite m and arbitrarily large n [i]
157No OA(8mm+nS8, 159) with finite m and arbitrarily large n [i]
158No OA(8mm+nS8, 160) with finite m and arbitrarily large n [i]
159No OA(8mm+nS8, 161) with finite m and arbitrarily large n [i]
160No OA(8mm+nS8, 162) with finite m and arbitrarily large n [i]
161No OA(8mm+nS8, 163) with finite m and arbitrarily large n [i]
162No OA(8mm+nS8, 164) with finite m and arbitrarily large n [i]
163No OA(8mm+nS8, 165) with finite m and arbitrarily large n [i]
164No OA(8mm+nS8, 166) with finite m and arbitrarily large n [i]
165No OA(8mm+nS8, 167) with finite m and arbitrarily large n [i]
166No OA(8mm+nS8, 168) with finite m and arbitrarily large n [i]
167No OA(8mm+nS8, 169) with finite m and arbitrarily large n [i]
168No OA(8mm+nS8, 170) with finite m and arbitrarily large n [i]
169No OA(8mm+nS8, 171) with finite m and arbitrarily large n [i]
170No OA(8mm+nS8, 172) with finite m and arbitrarily large n [i]
171No OA(8mm+nS8, 173) with finite m and arbitrarily large n [i]