Information on Result #1977290

There is no OA(3mm+nS3, 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(3mm+nS3, 3) with finite m and arbitrarily large n [i]Strength Reduction
2No OA(3mm+nS3, 4) with finite m and arbitrarily large n [i]
3No OA(3mm+nS3, 5) with finite m and arbitrarily large n [i]
4No OA(3mm+nS3, 6) with finite m and arbitrarily large n [i]
5No OA(3mm+nS3, 7) with finite m and arbitrarily large n [i]
6No OA(3mm+nS3, 8) with finite m and arbitrarily large n [i]
7No OA(3mm+nS3, 9) with finite m and arbitrarily large n [i]
8No OA(3mm+nS3, 10) with finite m and arbitrarily large n [i]
9No OA(3mm+nS3, 11) with finite m and arbitrarily large n [i]
10No OA(3mm+nS3, 12) with finite m and arbitrarily large n [i]
11No OA(3mm+nS3, 13) with finite m and arbitrarily large n [i]
12No OA(3mm+nS3, 14) with finite m and arbitrarily large n [i]
13No OA(3mm+nS3, 15) with finite m and arbitrarily large n [i]
14No OA(3mm+nS3, 16) with finite m and arbitrarily large n [i]
15No OA(3mm+nS3, 17) with finite m and arbitrarily large n [i]
16No OA(3mm+nS3, 18) with finite m and arbitrarily large n [i]
17No OA(3mm+nS3, 19) with finite m and arbitrarily large n [i]
18No OA(3mm+nS3, 20) with finite m and arbitrarily large n [i]
19No OA(3mm+nS3, 21) with finite m and arbitrarily large n [i]
20No OA(3mm+nS3, 22) with finite m and arbitrarily large n [i]
21No OA(3mm+nS3, 23) with finite m and arbitrarily large n [i]
22No OA(3mm+nS3, 24) with finite m and arbitrarily large n [i]
23No OA(3mm+nS3, 25) with finite m and arbitrarily large n [i]
24No OA(3mm+nS3, 26) with finite m and arbitrarily large n [i]
25No OA(3mm+nS3, 27) with finite m and arbitrarily large n [i]
26No OA(3mm+nS3, 28) with finite m and arbitrarily large n [i]
27No OA(3mm+nS3, 29) with finite m and arbitrarily large n [i]
28No OA(3mm+nS3, 30) with finite m and arbitrarily large n [i]
29No OA(3mm+nS3, 31) with finite m and arbitrarily large n [i]
30No OA(3mm+nS3, 32) with finite m and arbitrarily large n [i]
31No OA(3mm+nS3, 33) with finite m and arbitrarily large n [i]
32No OA(3mm+nS3, 34) with finite m and arbitrarily large n [i]
33No OA(3mm+nS3, 35) with finite m and arbitrarily large n [i]
34No OA(3mm+nS3, 36) with finite m and arbitrarily large n [i]
35No OA(3mm+nS3, 37) with finite m and arbitrarily large n [i]
36No OA(3mm+nS3, 38) with finite m and arbitrarily large n [i]
37No OA(3mm+nS3, 39) with finite m and arbitrarily large n [i]
38No OA(3mm+nS3, 40) with finite m and arbitrarily large n [i]
39No OA(3mm+nS3, 41) with finite m and arbitrarily large n [i]
40No OA(3mm+nS3, 42) with finite m and arbitrarily large n [i]
41No OA(3mm+nS3, 43) with finite m and arbitrarily large n [i]
42No OA(3mm+nS3, 44) with finite m and arbitrarily large n [i]
43No OA(3mm+nS3, 45) with finite m and arbitrarily large n [i]
44No OA(3mm+nS3, 46) with finite m and arbitrarily large n [i]
45No OA(3mm+nS3, 47) with finite m and arbitrarily large n [i]
46No OA(3mm+nS3, 48) with finite m and arbitrarily large n [i]
47No OA(3mm+nS3, 49) with finite m and arbitrarily large n [i]
48No OA(3mm+nS3, 50) with finite m and arbitrarily large n [i]
49No OA(3mm+nS3, 51) with finite m and arbitrarily large n [i]
50No OA(3mm+nS3, 52) with finite m and arbitrarily large n [i]
51No OA(3mm+nS3, 53) with finite m and arbitrarily large n [i]
52No OA(3mm+nS3, 54) with finite m and arbitrarily large n [i]
53No OA(3mm+nS3, 55) with finite m and arbitrarily large n [i]
54No OA(3mm+nS3, 56) with finite m and arbitrarily large n [i]
55No OA(3mm+nS3, 57) with finite m and arbitrarily large n [i]
56No OA(3mm+nS3, 58) with finite m and arbitrarily large n [i]
57No OA(3mm+nS3, 59) with finite m and arbitrarily large n [i]
58No OA(3mm+nS3, 60) with finite m and arbitrarily large n [i]
59No OA(3mm+nS3, 61) with finite m and arbitrarily large n [i]
60No OA(3mm+nS3, 62) with finite m and arbitrarily large n [i]
61No OA(3mm+nS3, 63) with finite m and arbitrarily large n [i]
62No OA(3mm+nS3, 64) with finite m and arbitrarily large n [i]
63No OA(3mm+nS3, 65) with finite m and arbitrarily large n [i]
64No OA(3mm+nS3, 66) with finite m and arbitrarily large n [i]
65No OA(3mm+nS3, 67) with finite m and arbitrarily large n [i]
66No OA(3mm+nS3, 68) with finite m and arbitrarily large n [i]
67No OA(3mm+nS3, 69) with finite m and arbitrarily large n [i]
68No OA(3mm+nS3, 70) with finite m and arbitrarily large n [i]
69No OA(3mm+nS3, 71) with finite m and arbitrarily large n [i]
70No OA(3mm+nS3, 72) with finite m and arbitrarily large n [i]
71No OA(3mm+nS3, 73) with finite m and arbitrarily large n [i]
72No OA(3mm+nS3, 74) with finite m and arbitrarily large n [i]
73No OA(3mm+nS3, 75) with finite m and arbitrarily large n [i]
74No OA(3mm+nS3, 76) with finite m and arbitrarily large n [i]
75No OA(3mm+nS3, 77) with finite m and arbitrarily large n [i]
76No OA(3mm+nS3, 78) with finite m and arbitrarily large n [i]
77No OA(3mm+nS3, 79) with finite m and arbitrarily large n [i]
78No OA(3mm+nS3, 80) with finite m and arbitrarily large n [i]
79No OA(3mm+nS3, 81) with finite m and arbitrarily large n [i]
80No OA(3mm+nS3, 82) with finite m and arbitrarily large n [i]
81No OA(3mm+nS3, 83) with finite m and arbitrarily large n [i]
82No OA(3mm+nS3, 84) with finite m and arbitrarily large n [i]
83No OA(3mm+nS3, 85) with finite m and arbitrarily large n [i]
84No OA(3mm+nS3, 86) with finite m and arbitrarily large n [i]
85No OA(3mm+nS3, 87) with finite m and arbitrarily large n [i]
86No OA(3mm+nS3, 88) with finite m and arbitrarily large n [i]
87No OA(3mm+nS3, 89) with finite m and arbitrarily large n [i]
88No OA(3mm+nS3, 90) with finite m and arbitrarily large n [i]
89No OA(3mm+nS3, 91) with finite m and arbitrarily large n [i]
90No OA(3mm+nS3, 92) with finite m and arbitrarily large n [i]
91No OA(3mm+nS3, 93) with finite m and arbitrarily large n [i]
92No OA(3mm+nS3, 94) with finite m and arbitrarily large n [i]
93No OA(3mm+nS3, 95) with finite m and arbitrarily large n [i]
94No OA(3mm+nS3, 96) with finite m and arbitrarily large n [i]
95No OA(3mm+nS3, 97) with finite m and arbitrarily large n [i]
96No OA(3mm+nS3, 98) with finite m and arbitrarily large n [i]
97No OA(3mm+nS3, 99) with finite m and arbitrarily large n [i]
98No OA(3mm+nS3, 100) with finite m and arbitrarily large n [i]
99No OA(3mm+nS3, 101) with finite m and arbitrarily large n [i]
100No OA(3mm+nS3, 102) with finite m and arbitrarily large n [i]
101No OA(3mm+nS3, 103) with finite m and arbitrarily large n [i]
102No OA(3mm+nS3, 104) with finite m and arbitrarily large n [i]
103No OA(3mm+nS3, 105) with finite m and arbitrarily large n [i]
104No OA(3mm+nS3, 106) with finite m and arbitrarily large n [i]
105No OA(3mm+nS3, 107) with finite m and arbitrarily large n [i]
106No OA(3mm+nS3, 108) with finite m and arbitrarily large n [i]
107No OA(3mm+nS3, 109) with finite m and arbitrarily large n [i]
108No OA(3mm+nS3, 110) with finite m and arbitrarily large n [i]
109No OA(3mm+nS3, 111) with finite m and arbitrarily large n [i]
110No OA(3mm+nS3, 112) with finite m and arbitrarily large n [i]
111No OA(3mm+nS3, 113) with finite m and arbitrarily large n [i]
112No OA(3mm+nS3, 114) with finite m and arbitrarily large n [i]
113No OA(3mm+nS3, 115) with finite m and arbitrarily large n [i]
114No OA(3mm+nS3, 116) with finite m and arbitrarily large n [i]
115No OA(3mm+nS3, 117) with finite m and arbitrarily large n [i]
116No OA(3mm+nS3, 118) with finite m and arbitrarily large n [i]
117No OA(3mm+nS3, 119) with finite m and arbitrarily large n [i]
118No OA(3mm+nS3, 120) with finite m and arbitrarily large n [i]
119No OA(3mm+nS3, 121) with finite m and arbitrarily large n [i]
120No OA(3mm+nS3, 122) with finite m and arbitrarily large n [i]
121No OA(3mm+nS3, 123) with finite m and arbitrarily large n [i]
122No OA(3mm+nS3, 124) with finite m and arbitrarily large n [i]
123No OA(3mm+nS3, 125) with finite m and arbitrarily large n [i]
124No OA(3mm+nS3, 126) with finite m and arbitrarily large n [i]
125No OA(3mm+nS3, 127) with finite m and arbitrarily large n [i]
126No OA(3mm+nS3, 128) with finite m and arbitrarily large n [i]
127No OA(3mm+nS3, 129) with finite m and arbitrarily large n [i]
128No OA(3mm+nS3, 130) with finite m and arbitrarily large n [i]
129No OA(3mm+nS3, 131) with finite m and arbitrarily large n [i]
130No OA(3mm+nS3, 132) with finite m and arbitrarily large n [i]
131No OA(3mm+nS3, 133) with finite m and arbitrarily large n [i]
132No OA(3mm+nS3, 134) with finite m and arbitrarily large n [i]
133No OA(3mm+nS3, 135) with finite m and arbitrarily large n [i]
134No OA(3mm+nS3, 136) with finite m and arbitrarily large n [i]
135No OA(3mm+nS3, 137) with finite m and arbitrarily large n [i]
136No OA(3mm+nS3, 138) with finite m and arbitrarily large n [i]
137No OA(3mm+nS3, 139) with finite m and arbitrarily large n [i]
138No OA(3mm+nS3, 140) with finite m and arbitrarily large n [i]
139No OA(3mm+nS3, 141) with finite m and arbitrarily large n [i]
140No OA(3mm+nS3, 142) with finite m and arbitrarily large n [i]
141No OA(3mm+nS3, 143) with finite m and arbitrarily large n [i]
142No OA(3mm+nS3, 144) with finite m and arbitrarily large n [i]
143No OA(3mm+nS3, 145) with finite m and arbitrarily large n [i]
144No OA(3mm+nS3, 146) with finite m and arbitrarily large n [i]
145No OA(3mm+nS3, 147) with finite m and arbitrarily large n [i]
146No OA(3mm+nS3, 148) with finite m and arbitrarily large n [i]
147No OA(3mm+nS3, 149) with finite m and arbitrarily large n [i]
148No OA(3mm+nS3, 150) with finite m and arbitrarily large n [i]
149No OA(3mm+nS3, 151) with finite m and arbitrarily large n [i]
150No OA(3mm+nS3, 152) with finite m and arbitrarily large n [i]
151No OA(3mm+nS3, 153) with finite m and arbitrarily large n [i]
152No OA(3mm+nS3, 154) with finite m and arbitrarily large n [i]
153No OA(3mm+nS3, 155) with finite m and arbitrarily large n [i]
154No OA(3mm+nS3, 156) with finite m and arbitrarily large n [i]
155No OA(3mm+nS3, 157) with finite m and arbitrarily large n [i]
156No OA(3mm+nS3, 158) with finite m and arbitrarily large n [i]
157No OA(3mm+nS3, 159) with finite m and arbitrarily large n [i]
158No OA(3mm+nS3, 160) with finite m and arbitrarily large n [i]
159No OA(3mm+nS3, 161) with finite m and arbitrarily large n [i]
160No OA(3mm+nS3, 162) with finite m and arbitrarily large n [i]
161No OA(3mm+nS3, 163) with finite m and arbitrarily large n [i]
162No OA(3mm+nS3, 164) with finite m and arbitrarily large n [i]
163No OA(3mm+nS3, 165) with finite m and arbitrarily large n [i]
164No OA(3mm+nS3, 166) with finite m and arbitrarily large n [i]
165No OA(3mm+nS3, 167) with finite m and arbitrarily large n [i]
166No OA(3mm+nS3, 168) with finite m and arbitrarily large n [i]
167No OA(3mm+nS3, 169) with finite m and arbitrarily large n [i]
168No OA(3mm+nS3, 170) with finite m and arbitrarily large n [i]
169No OA(3mm+nS3, 171) with finite m and arbitrarily large n [i]
170No OA(3mm+nS3, 172) with finite m and arbitrarily large n [i]
171No OA(3mm+nS3, 173) with finite m and arbitrarily large n [i]
172No OA(3mm+nS3, 174) with finite m and arbitrarily large n [i]
173No OA(3mm+nS3, 175) with finite m and arbitrarily large n [i]
174No OA(3mm+nS3, 176) with finite m and arbitrarily large n [i]
175No OA(3mm+nS3, 177) with finite m and arbitrarily large n [i]
176No OA(3mm+nS3, 178) with finite m and arbitrarily large n [i]
177No OA(3mm+nS3, 179) with finite m and arbitrarily large n [i]
178No OA(3mm+nS3, 180) with finite m and arbitrarily large n [i]
179No OA(3mm+nS3, 181) with finite m and arbitrarily large n [i]
180No OA(3mm+nS3, 182) with finite m and arbitrarily large n [i]
181No OA(3mm+nS3, 183) with finite m and arbitrarily large n [i]
182No OA(3mm+nS3, 184) with finite m and arbitrarily large n [i]
183No OA(3mm+nS3, 185) with finite m and arbitrarily large n [i]
184No OA(3mm+nS3, 186) with finite m and arbitrarily large n [i]
185No OA(3mm+nS3, 187) with finite m and arbitrarily large n [i]
186No OA(3mm+nS3, 188) with finite m and arbitrarily large n [i]
187No OA(3mm+nS3, 189) with finite m and arbitrarily large n [i]
188No OA(3mm+nS3, 190) with finite m and arbitrarily large n [i]
189No OA(3mm+nS3, 191) with finite m and arbitrarily large n [i]
190No OA(3mm+nS3, 192) with finite m and arbitrarily large n [i]
191No OA(3mm+nS3, 193) with finite m and arbitrarily large n [i]
192No OA(3mm+nS3, 194) with finite m and arbitrarily large n [i]
193No OA(3mm+nS3, 195) with finite m and arbitrarily large n [i]
194No OA(3mm+nS3, 196) with finite m and arbitrarily large n [i]
195No OA(3mm+nS3, 197) with finite m and arbitrarily large n [i]
196No OA(3mm+nS3, 198) with finite m and arbitrarily large n [i]
197No OA(3mm+nS3, 199) with finite m and arbitrarily large n [i]
198No OA(3mm+nS3, 200) with finite m and arbitrarily large n [i]
199No OA(3mm+nS3, 201) with finite m and arbitrarily large n [i]
200No OA(3mm+nS3, 202) with finite m and arbitrarily large n [i]
201No OA(3mm+nS3, 203) with finite m and arbitrarily large n [i]
202No OA(3mm+nS3, 204) with finite m and arbitrarily large n [i]
203No OA(3mm+nS3, 205) with finite m and arbitrarily large n [i]
204No OA(3mm+nS3, 206) with finite m and arbitrarily large n [i]
205No OA(3mm+nS3, 207) with finite m and arbitrarily large n [i]
206No OA(3mm+nS3, 208) with finite m and arbitrarily large n [i]
207No OA(3mm+nS3, 209) with finite m and arbitrarily large n [i]
208No OA(3mm+nS3, 210) with finite m and arbitrarily large n [i]
209No OA(3mm+nS3, 211) with finite m and arbitrarily large n [i]
210No OA(3mm+nS3, 212) with finite m and arbitrarily large n [i]
211No OA(3mm+nS3, 213) with finite m and arbitrarily large n [i]
212No OA(3mm+nS3, 214) with finite m and arbitrarily large n [i]
213No OA(3mm+nS3, 215) with finite m and arbitrarily large n [i]
214No OA(3mm+nS3, 216) with finite m and arbitrarily large n [i]
215No OA(3mm+nS3, 217) with finite m and arbitrarily large n [i]
216No OA(3mm+nS3, 218) with finite m and arbitrarily large n [i]
217No OA(3mm+nS3, 219) with finite m and arbitrarily large n [i]
218No OA(3mm+nS3, 220) with finite m and arbitrarily large n [i]
219No OA(3mm+nS3, 221) with finite m and arbitrarily large n [i]
220No OA(3mm+nS3, 222) with finite m and arbitrarily large n [i]
221No OA(3mm+nS3, 223) with finite m and arbitrarily large n [i]
222No OA(3mm+nS3, 224) with finite m and arbitrarily large n [i]
223No OA(3mm+nS3, 225) with finite m and arbitrarily large n [i]
224No OA(3mm+nS3, 226) with finite m and arbitrarily large n [i]
225No OA(3mm+nS3, 227) with finite m and arbitrarily large n [i]
226No OA(3mm+nS3, 228) with finite m and arbitrarily large n [i]
227No OA(3mm+nS3, 229) with finite m and arbitrarily large n [i]
228No OA(3mm+nS3, 230) with finite m and arbitrarily large n [i]
229No OA(3mm+nS3, 231) with finite m and arbitrarily large n [i]
230No OA(3mm+nS3, 232) with finite m and arbitrarily large n [i]
231No OA(3mm+nS3, 233) with finite m and arbitrarily large n [i]
232No OA(3mm+nS3, 234) with finite m and arbitrarily large n [i]
233No OA(3mm+nS3, 235) with finite m and arbitrarily large n [i]
234No OA(3mm+nS3, 236) with finite m and arbitrarily large n [i]
235No OA(3mm+nS3, 237) with finite m and arbitrarily large n [i]
236No OA(3mm+nS3, 238) with finite m and arbitrarily large n [i]
237No OA(3mm+nS3, 239) with finite m and arbitrarily large n [i]
238No OA(3mm+nS3, 240) with finite m and arbitrarily large n [i]
239No OA(3mm+nS3, 241) with finite m and arbitrarily large n [i]
240No OA(3mm+nS3, 242) with finite m and arbitrarily large n [i]
241No OA(3mm+nS3, 243) with finite m and arbitrarily large n [i]
242No OA(3mm+nS3, 244) with finite m and arbitrarily large n [i]
243No OA(3mm+nS3, 245) with finite m and arbitrarily large n [i]
244No OA(3mm+nS3, 246) with finite m and arbitrarily large n [i]
245No OA(3mm+nS3, 247) with finite m and arbitrarily large n [i]
246No OA(3mm+nS3, 248) with finite m and arbitrarily large n [i]
247No OA(3mm+nS3, 249) with finite m and arbitrarily large n [i]
248No OA(3mm+nS3, 250) with finite m and arbitrarily large n [i]