Information on Result #1977304
There is no OA(8m, m+n, S8, 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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No OA(8m, m+n, S8, 3) with finite m and arbitrarily large n | [i] | Strength Reduction | |
2 | No OA(8m, m+n, S8, 4) with finite m and arbitrarily large n | [i] | ||
3 | No OA(8m, m+n, S8, 5) with finite m and arbitrarily large n | [i] | ||
4 | No OA(8m, m+n, S8, 6) with finite m and arbitrarily large n | [i] | ||
5 | No OA(8m, m+n, S8, 7) with finite m and arbitrarily large n | [i] | ||
6 | No OA(8m, m+n, S8, 8) with finite m and arbitrarily large n | [i] | ||
7 | No OA(8m, m+n, S8, 9) with finite m and arbitrarily large n | [i] | ||
8 | No OA(8m, m+n, S8, 10) with finite m and arbitrarily large n | [i] | ||
9 | No OA(8m, m+n, S8, 11) with finite m and arbitrarily large n | [i] | ||
10 | No OA(8m, m+n, S8, 12) with finite m and arbitrarily large n | [i] | ||
11 | No OA(8m, m+n, S8, 13) with finite m and arbitrarily large n | [i] | ||
12 | No OA(8m, m+n, S8, 14) with finite m and arbitrarily large n | [i] | ||
13 | No OA(8m, m+n, S8, 15) with finite m and arbitrarily large n | [i] | ||
14 | No OA(8m, m+n, S8, 16) with finite m and arbitrarily large n | [i] | ||
15 | No OA(8m, m+n, S8, 17) with finite m and arbitrarily large n | [i] | ||
16 | No OA(8m, m+n, S8, 18) with finite m and arbitrarily large n | [i] | ||
17 | No OA(8m, m+n, S8, 19) with finite m and arbitrarily large n | [i] | ||
18 | No OA(8m, m+n, S8, 20) with finite m and arbitrarily large n | [i] | ||
19 | No OA(8m, m+n, S8, 21) with finite m and arbitrarily large n | [i] | ||
20 | No OA(8m, m+n, S8, 22) with finite m and arbitrarily large n | [i] | ||
21 | No OA(8m, m+n, S8, 23) with finite m and arbitrarily large n | [i] | ||
22 | No OA(8m, m+n, S8, 24) with finite m and arbitrarily large n | [i] | ||
23 | No OA(8m, m+n, S8, 25) with finite m and arbitrarily large n | [i] | ||
24 | No OA(8m, m+n, S8, 26) with finite m and arbitrarily large n | [i] | ||
25 | No OA(8m, m+n, S8, 27) with finite m and arbitrarily large n | [i] | ||
26 | No OA(8m, m+n, S8, 28) with finite m and arbitrarily large n | [i] | ||
27 | No OA(8m, m+n, S8, 29) with finite m and arbitrarily large n | [i] | ||
28 | No OA(8m, m+n, S8, 30) with finite m and arbitrarily large n | [i] | ||
29 | No OA(8m, m+n, S8, 31) with finite m and arbitrarily large n | [i] | ||
30 | No OA(8m, m+n, S8, 32) with finite m and arbitrarily large n | [i] | ||
31 | No OA(8m, m+n, S8, 33) with finite m and arbitrarily large n | [i] | ||
32 | No OA(8m, m+n, S8, 34) with finite m and arbitrarily large n | [i] | ||
33 | No OA(8m, m+n, S8, 35) with finite m and arbitrarily large n | [i] | ||
34 | No OA(8m, m+n, S8, 36) with finite m and arbitrarily large n | [i] | ||
35 | No OA(8m, m+n, S8, 37) with finite m and arbitrarily large n | [i] | ||
36 | No OA(8m, m+n, S8, 38) with finite m and arbitrarily large n | [i] | ||
37 | No OA(8m, m+n, S8, 39) with finite m and arbitrarily large n | [i] | ||
38 | No OA(8m, m+n, S8, 40) with finite m and arbitrarily large n | [i] | ||
39 | No OA(8m, m+n, S8, 41) with finite m and arbitrarily large n | [i] | ||
40 | No OA(8m, m+n, S8, 42) with finite m and arbitrarily large n | [i] | ||
41 | No OA(8m, m+n, S8, 43) with finite m and arbitrarily large n | [i] | ||
42 | No OA(8m, m+n, S8, 44) with finite m and arbitrarily large n | [i] | ||
43 | No OA(8m, m+n, S8, 45) with finite m and arbitrarily large n | [i] | ||
44 | No OA(8m, m+n, S8, 46) with finite m and arbitrarily large n | [i] | ||
45 | No OA(8m, m+n, S8, 47) with finite m and arbitrarily large n | [i] | ||
46 | No OA(8m, m+n, S8, 48) with finite m and arbitrarily large n | [i] | ||
47 | No OA(8m, m+n, S8, 49) with finite m and arbitrarily large n | [i] | ||
48 | No OA(8m, m+n, S8, 50) with finite m and arbitrarily large n | [i] | ||
49 | No OA(8m, m+n, S8, 51) with finite m and arbitrarily large n | [i] | ||
50 | No OA(8m, m+n, S8, 52) with finite m and arbitrarily large n | [i] | ||
51 | No OA(8m, m+n, S8, 53) with finite m and arbitrarily large n | [i] | ||
52 | No OA(8m, m+n, S8, 54) with finite m and arbitrarily large n | [i] | ||
53 | No OA(8m, m+n, S8, 55) with finite m and arbitrarily large n | [i] | ||
54 | No OA(8m, m+n, S8, 56) with finite m and arbitrarily large n | [i] | ||
55 | No OA(8m, m+n, S8, 57) with finite m and arbitrarily large n | [i] | ||
56 | No OA(8m, m+n, S8, 58) with finite m and arbitrarily large n | [i] | ||
57 | No OA(8m, m+n, S8, 59) with finite m and arbitrarily large n | [i] | ||
58 | No OA(8m, m+n, S8, 60) with finite m and arbitrarily large n | [i] | ||
59 | No OA(8m, m+n, S8, 61) with finite m and arbitrarily large n | [i] | ||
60 | No OA(8m, m+n, S8, 62) with finite m and arbitrarily large n | [i] | ||
61 | No OA(8m, m+n, S8, 63) with finite m and arbitrarily large n | [i] | ||
62 | No OA(8m, m+n, S8, 64) with finite m and arbitrarily large n | [i] | ||
63 | No OA(8m, m+n, S8, 65) with finite m and arbitrarily large n | [i] | ||
64 | No OA(8m, m+n, S8, 66) with finite m and arbitrarily large n | [i] | ||
65 | No OA(8m, m+n, S8, 67) with finite m and arbitrarily large n | [i] | ||
66 | No OA(8m, m+n, S8, 68) with finite m and arbitrarily large n | [i] | ||
67 | No OA(8m, m+n, S8, 69) with finite m and arbitrarily large n | [i] | ||
68 | No OA(8m, m+n, S8, 70) with finite m and arbitrarily large n | [i] | ||
69 | No OA(8m, m+n, S8, 71) with finite m and arbitrarily large n | [i] | ||
70 | No OA(8m, m+n, S8, 72) with finite m and arbitrarily large n | [i] | ||
71 | No OA(8m, m+n, S8, 73) with finite m and arbitrarily large n | [i] | ||
72 | No OA(8m, m+n, S8, 74) with finite m and arbitrarily large n | [i] | ||
73 | No OA(8m, m+n, S8, 75) with finite m and arbitrarily large n | [i] | ||
74 | No OA(8m, m+n, S8, 76) with finite m and arbitrarily large n | [i] | ||
75 | No OA(8m, m+n, S8, 77) with finite m and arbitrarily large n | [i] | ||
76 | No OA(8m, m+n, S8, 78) with finite m and arbitrarily large n | [i] | ||
77 | No OA(8m, m+n, S8, 79) with finite m and arbitrarily large n | [i] | ||
78 | No OA(8m, m+n, S8, 80) with finite m and arbitrarily large n | [i] | ||
79 | No OA(8m, m+n, S8, 81) with finite m and arbitrarily large n | [i] | ||
80 | No OA(8m, m+n, S8, 82) with finite m and arbitrarily large n | [i] | ||
81 | No OA(8m, m+n, S8, 83) with finite m and arbitrarily large n | [i] | ||
82 | No OA(8m, m+n, S8, 84) with finite m and arbitrarily large n | [i] | ||
83 | No OA(8m, m+n, S8, 85) with finite m and arbitrarily large n | [i] | ||
84 | No OA(8m, m+n, S8, 86) with finite m and arbitrarily large n | [i] | ||
85 | No OA(8m, m+n, S8, 87) with finite m and arbitrarily large n | [i] | ||
86 | No OA(8m, m+n, S8, 88) with finite m and arbitrarily large n | [i] | ||
87 | No OA(8m, m+n, S8, 89) with finite m and arbitrarily large n | [i] | ||
88 | No OA(8m, m+n, S8, 90) with finite m and arbitrarily large n | [i] | ||
89 | No OA(8m, m+n, S8, 91) with finite m and arbitrarily large n | [i] | ||
90 | No OA(8m, m+n, S8, 92) with finite m and arbitrarily large n | [i] | ||
91 | No OA(8m, m+n, S8, 93) with finite m and arbitrarily large n | [i] | ||
92 | No OA(8m, m+n, S8, 94) with finite m and arbitrarily large n | [i] | ||
93 | No OA(8m, m+n, S8, 95) with finite m and arbitrarily large n | [i] | ||
94 | No OA(8m, m+n, S8, 96) with finite m and arbitrarily large n | [i] | ||
95 | No OA(8m, m+n, S8, 97) with finite m and arbitrarily large n | [i] | ||
96 | No OA(8m, m+n, S8, 98) with finite m and arbitrarily large n | [i] | ||
97 | No OA(8m, m+n, S8, 99) with finite m and arbitrarily large n | [i] | ||
98 | No OA(8m, m+n, S8, 100) with finite m and arbitrarily large n | [i] | ||
99 | No OA(8m, m+n, S8, 101) with finite m and arbitrarily large n | [i] | ||
100 | No OA(8m, m+n, S8, 102) with finite m and arbitrarily large n | [i] | ||
101 | No OA(8m, m+n, S8, 103) with finite m and arbitrarily large n | [i] | ||
102 | No OA(8m, m+n, S8, 104) with finite m and arbitrarily large n | [i] | ||
103 | No OA(8m, m+n, S8, 105) with finite m and arbitrarily large n | [i] | ||
104 | No OA(8m, m+n, S8, 106) with finite m and arbitrarily large n | [i] | ||
105 | No OA(8m, m+n, S8, 107) with finite m and arbitrarily large n | [i] | ||
106 | No OA(8m, m+n, S8, 108) with finite m and arbitrarily large n | [i] | ||
107 | No OA(8m, m+n, S8, 109) with finite m and arbitrarily large n | [i] | ||
108 | No OA(8m, m+n, S8, 110) with finite m and arbitrarily large n | [i] | ||
109 | No OA(8m, m+n, S8, 111) with finite m and arbitrarily large n | [i] | ||
110 | No OA(8m, m+n, S8, 112) with finite m and arbitrarily large n | [i] | ||
111 | No OA(8m, m+n, S8, 113) with finite m and arbitrarily large n | [i] | ||
112 | No OA(8m, m+n, S8, 114) with finite m and arbitrarily large n | [i] | ||
113 | No OA(8m, m+n, S8, 115) with finite m and arbitrarily large n | [i] | ||
114 | No OA(8m, m+n, S8, 116) with finite m and arbitrarily large n | [i] | ||
115 | No OA(8m, m+n, S8, 117) with finite m and arbitrarily large n | [i] | ||
116 | No OA(8m, m+n, S8, 118) with finite m and arbitrarily large n | [i] | ||
117 | No OA(8m, m+n, S8, 119) with finite m and arbitrarily large n | [i] | ||
118 | No OA(8m, m+n, S8, 120) with finite m and arbitrarily large n | [i] | ||
119 | No OA(8m, m+n, S8, 121) with finite m and arbitrarily large n | [i] | ||
120 | No OA(8m, m+n, S8, 122) with finite m and arbitrarily large n | [i] | ||
121 | No OA(8m, m+n, S8, 123) with finite m and arbitrarily large n | [i] | ||
122 | No OA(8m, m+n, S8, 124) with finite m and arbitrarily large n | [i] | ||
123 | No OA(8m, m+n, S8, 125) with finite m and arbitrarily large n | [i] | ||
124 | No OA(8m, m+n, S8, 126) with finite m and arbitrarily large n | [i] | ||
125 | No OA(8m, m+n, S8, 127) with finite m and arbitrarily large n | [i] | ||
126 | No OA(8m, m+n, S8, 128) with finite m and arbitrarily large n | [i] | ||
127 | No OA(8m, m+n, S8, 129) with finite m and arbitrarily large n | [i] | ||
128 | No OA(8m, m+n, S8, 130) with finite m and arbitrarily large n | [i] | ||
129 | No OA(8m, m+n, S8, 131) with finite m and arbitrarily large n | [i] | ||
130 | No OA(8m, m+n, S8, 132) with finite m and arbitrarily large n | [i] | ||
131 | No OA(8m, m+n, S8, 133) with finite m and arbitrarily large n | [i] | ||
132 | No OA(8m, m+n, S8, 134) with finite m and arbitrarily large n | [i] | ||
133 | No OA(8m, m+n, S8, 135) with finite m and arbitrarily large n | [i] | ||
134 | No OA(8m, m+n, S8, 136) with finite m and arbitrarily large n | [i] | ||
135 | No OA(8m, m+n, S8, 137) with finite m and arbitrarily large n | [i] | ||
136 | No OA(8m, m+n, S8, 138) with finite m and arbitrarily large n | [i] | ||
137 | No OA(8m, m+n, S8, 139) with finite m and arbitrarily large n | [i] | ||
138 | No OA(8m, m+n, S8, 140) with finite m and arbitrarily large n | [i] | ||
139 | No OA(8m, m+n, S8, 141) with finite m and arbitrarily large n | [i] | ||
140 | No OA(8m, m+n, S8, 142) with finite m and arbitrarily large n | [i] | ||
141 | No OA(8m, m+n, S8, 143) with finite m and arbitrarily large n | [i] | ||
142 | No OA(8m, m+n, S8, 144) with finite m and arbitrarily large n | [i] | ||
143 | No OA(8m, m+n, S8, 145) with finite m and arbitrarily large n | [i] | ||
144 | No OA(8m, m+n, S8, 146) with finite m and arbitrarily large n | [i] | ||
145 | No OA(8m, m+n, S8, 147) with finite m and arbitrarily large n | [i] | ||
146 | No OA(8m, m+n, S8, 148) with finite m and arbitrarily large n | [i] | ||
147 | No OA(8m, m+n, S8, 149) with finite m and arbitrarily large n | [i] | ||
148 | No OA(8m, m+n, S8, 150) with finite m and arbitrarily large n | [i] | ||
149 | No OA(8m, m+n, S8, 151) with finite m and arbitrarily large n | [i] | ||
150 | No OA(8m, m+n, S8, 152) with finite m and arbitrarily large n | [i] | ||
151 | No OA(8m, m+n, S8, 153) with finite m and arbitrarily large n | [i] | ||
152 | No OA(8m, m+n, S8, 154) with finite m and arbitrarily large n | [i] | ||
153 | No OA(8m, m+n, S8, 155) with finite m and arbitrarily large n | [i] | ||
154 | No OA(8m, m+n, S8, 156) with finite m and arbitrarily large n | [i] | ||
155 | No OA(8m, m+n, S8, 157) with finite m and arbitrarily large n | [i] | ||
156 | No OA(8m, m+n, S8, 158) with finite m and arbitrarily large n | [i] | ||
157 | No OA(8m, m+n, S8, 159) with finite m and arbitrarily large n | [i] | ||
158 | No OA(8m, m+n, S8, 160) with finite m and arbitrarily large n | [i] | ||
159 | No OA(8m, m+n, S8, 161) with finite m and arbitrarily large n | [i] | ||
160 | No OA(8m, m+n, S8, 162) with finite m and arbitrarily large n | [i] | ||
161 | No OA(8m, m+n, S8, 163) with finite m and arbitrarily large n | [i] | ||
162 | No OA(8m, m+n, S8, 164) with finite m and arbitrarily large n | [i] | ||
163 | No OA(8m, m+n, S8, 165) with finite m and arbitrarily large n | [i] | ||
164 | No OA(8m, m+n, S8, 166) with finite m and arbitrarily large n | [i] | ||
165 | No OA(8m, m+n, S8, 167) with finite m and arbitrarily large n | [i] | ||
166 | No OA(8m, m+n, S8, 168) with finite m and arbitrarily large n | [i] | ||
167 | No OA(8m, m+n, S8, 169) with finite m and arbitrarily large n | [i] | ||
168 | No OA(8m, m+n, S8, 170) with finite m and arbitrarily large n | [i] | ||
169 | No OA(8m, m+n, S8, 171) with finite m and arbitrarily large n | [i] | ||
170 | No OA(8m, m+n, S8, 172) with finite m and arbitrarily large n | [i] | ||
171 | No OA(8m, m+n, S8, 173) with finite m and arbitrarily large n | [i] |