Information on Result #1977295

There is no OA(4mm+nS4, 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(4mm+nS4, 3) with finite m and arbitrarily large n [i]Strength Reduction
2No OA(4mm+nS4, 4) with finite m and arbitrarily large n [i]
3No OA(4mm+nS4, 5) with finite m and arbitrarily large n [i]
4No OA(4mm+nS4, 6) with finite m and arbitrarily large n [i]
5No OA(4mm+nS4, 7) with finite m and arbitrarily large n [i]
6No OA(4mm+nS4, 8) with finite m and arbitrarily large n [i]
7No OA(4mm+nS4, 9) with finite m and arbitrarily large n [i]
8No OA(4mm+nS4, 10) with finite m and arbitrarily large n [i]
9No OA(4mm+nS4, 11) with finite m and arbitrarily large n [i]
10No OA(4mm+nS4, 12) with finite m and arbitrarily large n [i]
11No OA(4mm+nS4, 13) with finite m and arbitrarily large n [i]
12No OA(4mm+nS4, 14) with finite m and arbitrarily large n [i]
13No OA(4mm+nS4, 15) with finite m and arbitrarily large n [i]
14No OA(4mm+nS4, 16) with finite m and arbitrarily large n [i]
15No OA(4mm+nS4, 17) with finite m and arbitrarily large n [i]
16No OA(4mm+nS4, 18) with finite m and arbitrarily large n [i]
17No OA(4mm+nS4, 19) with finite m and arbitrarily large n [i]
18No OA(4mm+nS4, 20) with finite m and arbitrarily large n [i]
19No OA(4mm+nS4, 21) with finite m and arbitrarily large n [i]
20No OA(4mm+nS4, 22) with finite m and arbitrarily large n [i]
21No OA(4mm+nS4, 23) with finite m and arbitrarily large n [i]
22No OA(4mm+nS4, 24) with finite m and arbitrarily large n [i]
23No OA(4mm+nS4, 25) with finite m and arbitrarily large n [i]
24No OA(4mm+nS4, 26) with finite m and arbitrarily large n [i]
25No OA(4mm+nS4, 27) with finite m and arbitrarily large n [i]
26No OA(4mm+nS4, 28) with finite m and arbitrarily large n [i]
27No OA(4mm+nS4, 29) with finite m and arbitrarily large n [i]
28No OA(4mm+nS4, 30) with finite m and arbitrarily large n [i]
29No OA(4mm+nS4, 31) with finite m and arbitrarily large n [i]
30No OA(4mm+nS4, 32) with finite m and arbitrarily large n [i]
31No OA(4mm+nS4, 33) with finite m and arbitrarily large n [i]
32No OA(4mm+nS4, 34) with finite m and arbitrarily large n [i]
33No OA(4mm+nS4, 35) with finite m and arbitrarily large n [i]
34No OA(4mm+nS4, 36) with finite m and arbitrarily large n [i]
35No OA(4mm+nS4, 37) with finite m and arbitrarily large n [i]
36No OA(4mm+nS4, 38) with finite m and arbitrarily large n [i]
37No OA(4mm+nS4, 39) with finite m and arbitrarily large n [i]
38No OA(4mm+nS4, 40) with finite m and arbitrarily large n [i]
39No OA(4mm+nS4, 41) with finite m and arbitrarily large n [i]
40No OA(4mm+nS4, 42) with finite m and arbitrarily large n [i]
41No OA(4mm+nS4, 43) with finite m and arbitrarily large n [i]
42No OA(4mm+nS4, 44) with finite m and arbitrarily large n [i]
43No OA(4mm+nS4, 45) with finite m and arbitrarily large n [i]
44No OA(4mm+nS4, 46) with finite m and arbitrarily large n [i]
45No OA(4mm+nS4, 47) with finite m and arbitrarily large n [i]
46No OA(4mm+nS4, 48) with finite m and arbitrarily large n [i]
47No OA(4mm+nS4, 49) with finite m and arbitrarily large n [i]
48No OA(4mm+nS4, 50) with finite m and arbitrarily large n [i]
49No OA(4mm+nS4, 51) with finite m and arbitrarily large n [i]
50No OA(4mm+nS4, 52) with finite m and arbitrarily large n [i]
51No OA(4mm+nS4, 53) with finite m and arbitrarily large n [i]
52No OA(4mm+nS4, 54) with finite m and arbitrarily large n [i]
53No OA(4mm+nS4, 55) with finite m and arbitrarily large n [i]
54No OA(4mm+nS4, 56) with finite m and arbitrarily large n [i]
55No OA(4mm+nS4, 57) with finite m and arbitrarily large n [i]
56No OA(4mm+nS4, 58) with finite m and arbitrarily large n [i]
57No OA(4mm+nS4, 59) with finite m and arbitrarily large n [i]
58No OA(4mm+nS4, 60) with finite m and arbitrarily large n [i]
59No OA(4mm+nS4, 61) with finite m and arbitrarily large n [i]
60No OA(4mm+nS4, 62) with finite m and arbitrarily large n [i]
61No OA(4mm+nS4, 63) with finite m and arbitrarily large n [i]
62No OA(4mm+nS4, 64) with finite m and arbitrarily large n [i]
63No OA(4mm+nS4, 65) with finite m and arbitrarily large n [i]
64No OA(4mm+nS4, 66) with finite m and arbitrarily large n [i]
65No OA(4mm+nS4, 67) with finite m and arbitrarily large n [i]
66No OA(4mm+nS4, 68) with finite m and arbitrarily large n [i]
67No OA(4mm+nS4, 69) with finite m and arbitrarily large n [i]
68No OA(4mm+nS4, 70) with finite m and arbitrarily large n [i]
69No OA(4mm+nS4, 71) with finite m and arbitrarily large n [i]
70No OA(4mm+nS4, 72) with finite m and arbitrarily large n [i]
71No OA(4mm+nS4, 73) with finite m and arbitrarily large n [i]
72No OA(4mm+nS4, 74) with finite m and arbitrarily large n [i]
73No OA(4mm+nS4, 75) with finite m and arbitrarily large n [i]
74No OA(4mm+nS4, 76) with finite m and arbitrarily large n [i]
75No OA(4mm+nS4, 77) with finite m and arbitrarily large n [i]
76No OA(4mm+nS4, 78) with finite m and arbitrarily large n [i]
77No OA(4mm+nS4, 79) with finite m and arbitrarily large n [i]
78No OA(4mm+nS4, 80) with finite m and arbitrarily large n [i]
79No OA(4mm+nS4, 81) with finite m and arbitrarily large n [i]
80No OA(4mm+nS4, 82) with finite m and arbitrarily large n [i]
81No OA(4mm+nS4, 83) with finite m and arbitrarily large n [i]
82No OA(4mm+nS4, 84) with finite m and arbitrarily large n [i]
83No OA(4mm+nS4, 85) with finite m and arbitrarily large n [i]
84No OA(4mm+nS4, 86) with finite m and arbitrarily large n [i]
85No OA(4mm+nS4, 87) with finite m and arbitrarily large n [i]
86No OA(4mm+nS4, 88) with finite m and arbitrarily large n [i]
87No OA(4mm+nS4, 89) with finite m and arbitrarily large n [i]
88No OA(4mm+nS4, 90) with finite m and arbitrarily large n [i]
89No OA(4mm+nS4, 91) with finite m and arbitrarily large n [i]
90No OA(4mm+nS4, 92) with finite m and arbitrarily large n [i]
91No OA(4mm+nS4, 93) with finite m and arbitrarily large n [i]
92No OA(4mm+nS4, 94) with finite m and arbitrarily large n [i]
93No OA(4mm+nS4, 95) with finite m and arbitrarily large n [i]
94No OA(4mm+nS4, 96) with finite m and arbitrarily large n [i]
95No OA(4mm+nS4, 97) with finite m and arbitrarily large n [i]
96No OA(4mm+nS4, 98) with finite m and arbitrarily large n [i]
97No OA(4mm+nS4, 99) with finite m and arbitrarily large n [i]
98No OA(4mm+nS4, 100) with finite m and arbitrarily large n [i]
99No OA(4mm+nS4, 101) with finite m and arbitrarily large n [i]
100No OA(4mm+nS4, 102) with finite m and arbitrarily large n [i]
101No OA(4mm+nS4, 103) with finite m and arbitrarily large n [i]
102No OA(4mm+nS4, 104) with finite m and arbitrarily large n [i]
103No OA(4mm+nS4, 105) with finite m and arbitrarily large n [i]
104No OA(4mm+nS4, 106) with finite m and arbitrarily large n [i]
105No OA(4mm+nS4, 107) with finite m and arbitrarily large n [i]
106No OA(4mm+nS4, 108) with finite m and arbitrarily large n [i]
107No OA(4mm+nS4, 109) with finite m and arbitrarily large n [i]
108No OA(4mm+nS4, 110) with finite m and arbitrarily large n [i]
109No OA(4mm+nS4, 111) with finite m and arbitrarily large n [i]
110No OA(4mm+nS4, 112) with finite m and arbitrarily large n [i]
111No OA(4mm+nS4, 113) with finite m and arbitrarily large n [i]
112No OA(4mm+nS4, 114) with finite m and arbitrarily large n [i]
113No OA(4mm+nS4, 115) with finite m and arbitrarily large n [i]
114No OA(4mm+nS4, 116) with finite m and arbitrarily large n [i]
115No OA(4mm+nS4, 117) with finite m and arbitrarily large n [i]
116No OA(4mm+nS4, 118) with finite m and arbitrarily large n [i]
117No OA(4mm+nS4, 119) with finite m and arbitrarily large n [i]
118No OA(4mm+nS4, 120) with finite m and arbitrarily large n [i]
119No OA(4mm+nS4, 121) with finite m and arbitrarily large n [i]
120No OA(4mm+nS4, 122) with finite m and arbitrarily large n [i]
121No OA(4mm+nS4, 123) with finite m and arbitrarily large n [i]
122No OA(4mm+nS4, 124) with finite m and arbitrarily large n [i]
123No OA(4mm+nS4, 125) with finite m and arbitrarily large n [i]
124No OA(4mm+nS4, 126) with finite m and arbitrarily large n [i]
125No OA(4mm+nS4, 127) with finite m and arbitrarily large n [i]
126No OA(4mm+nS4, 128) with finite m and arbitrarily large n [i]
127No OA(4mm+nS4, 129) with finite m and arbitrarily large n [i]
128No OA(4mm+nS4, 130) with finite m and arbitrarily large n [i]
129No OA(4mm+nS4, 131) with finite m and arbitrarily large n [i]
130No OA(4mm+nS4, 132) with finite m and arbitrarily large n [i]
131No OA(4mm+nS4, 133) with finite m and arbitrarily large n [i]
132No OA(4mm+nS4, 134) with finite m and arbitrarily large n [i]
133No OA(4mm+nS4, 135) with finite m and arbitrarily large n [i]
134No OA(4mm+nS4, 136) with finite m and arbitrarily large n [i]
135No OA(4mm+nS4, 137) with finite m and arbitrarily large n [i]
136No OA(4mm+nS4, 138) with finite m and arbitrarily large n [i]
137No OA(4mm+nS4, 139) with finite m and arbitrarily large n [i]
138No OA(4mm+nS4, 140) with finite m and arbitrarily large n [i]
139No OA(4mm+nS4, 141) with finite m and arbitrarily large n [i]
140No OA(4mm+nS4, 142) with finite m and arbitrarily large n [i]
141No OA(4mm+nS4, 143) with finite m and arbitrarily large n [i]
142No OA(4mm+nS4, 144) with finite m and arbitrarily large n [i]
143No OA(4mm+nS4, 145) with finite m and arbitrarily large n [i]
144No OA(4mm+nS4, 146) with finite m and arbitrarily large n [i]
145No OA(4mm+nS4, 147) with finite m and arbitrarily large n [i]
146No OA(4mm+nS4, 148) with finite m and arbitrarily large n [i]
147No OA(4mm+nS4, 149) with finite m and arbitrarily large n [i]
148No OA(4mm+nS4, 150) with finite m and arbitrarily large n [i]
149No OA(4mm+nS4, 151) with finite m and arbitrarily large n [i]
150No OA(4mm+nS4, 152) with finite m and arbitrarily large n [i]
151No OA(4mm+nS4, 153) with finite m and arbitrarily large n [i]
152No OA(4mm+nS4, 154) with finite m and arbitrarily large n [i]
153No OA(4mm+nS4, 155) with finite m and arbitrarily large n [i]
154No OA(4mm+nS4, 156) with finite m and arbitrarily large n [i]
155No OA(4mm+nS4, 157) with finite m and arbitrarily large n [i]
156No OA(4mm+nS4, 158) with finite m and arbitrarily large n [i]
157No OA(4mm+nS4, 159) with finite m and arbitrarily large n [i]
158No OA(4mm+nS4, 160) with finite m and arbitrarily large n [i]
159No OA(4mm+nS4, 161) with finite m and arbitrarily large n [i]
160No OA(4mm+nS4, 162) with finite m and arbitrarily large n [i]
161No OA(4mm+nS4, 163) with finite m and arbitrarily large n [i]
162No OA(4mm+nS4, 164) with finite m and arbitrarily large n [i]
163No OA(4mm+nS4, 165) with finite m and arbitrarily large n [i]
164No OA(4mm+nS4, 166) with finite m and arbitrarily large n [i]
165No OA(4mm+nS4, 167) with finite m and arbitrarily large n [i]
166No OA(4mm+nS4, 168) with finite m and arbitrarily large n [i]
167No OA(4mm+nS4, 169) with finite m and arbitrarily large n [i]
168No OA(4mm+nS4, 170) with finite m and arbitrarily large n [i]
169No OA(4mm+nS4, 171) with finite m and arbitrarily large n [i]
170No OA(4mm+nS4, 172) with finite m and arbitrarily large n [i]
171No OA(4mm+nS4, 173) with finite m and arbitrarily large n [i]
172No OA(4mm+nS4, 174) with finite m and arbitrarily large n [i]
173No OA(4mm+nS4, 175) with finite m and arbitrarily large n [i]
174No OA(4mm+nS4, 176) with finite m and arbitrarily large n [i]
175No OA(4mm+nS4, 177) with finite m and arbitrarily large n [i]
176No OA(4mm+nS4, 178) with finite m and arbitrarily large n [i]
177No OA(4mm+nS4, 179) with finite m and arbitrarily large n [i]
178No OA(4mm+nS4, 180) with finite m and arbitrarily large n [i]
179No OA(4mm+nS4, 181) with finite m and arbitrarily large n [i]
180No OA(4mm+nS4, 182) with finite m and arbitrarily large n [i]
181No OA(4mm+nS4, 183) with finite m and arbitrarily large n [i]
182No OA(4mm+nS4, 184) with finite m and arbitrarily large n [i]
183No OA(4mm+nS4, 185) with finite m and arbitrarily large n [i]
184No OA(4mm+nS4, 186) with finite m and arbitrarily large n [i]
185No OA(4mm+nS4, 187) with finite m and arbitrarily large n [i]
186No OA(4mm+nS4, 188) with finite m and arbitrarily large n [i]
187No OA(4mm+nS4, 189) with finite m and arbitrarily large n [i]
188No OA(4mm+nS4, 190) with finite m and arbitrarily large n [i]
189No OA(4mm+nS4, 191) with finite m and arbitrarily large n [i]
190No OA(4mm+nS4, 192) with finite m and arbitrarily large n [i]
191No OA(4mm+nS4, 193) with finite m and arbitrarily large n [i]
192No OA(4mm+nS4, 194) with finite m and arbitrarily large n [i]
193No OA(4mm+nS4, 195) with finite m and arbitrarily large n [i]
194No OA(4mm+nS4, 196) with finite m and arbitrarily large n [i]
195No OA(4mm+nS4, 197) with finite m and arbitrarily large n [i]
196No OA(4mm+nS4, 198) with finite m and arbitrarily large n [i]
197No OA(4mm+nS4, 199) with finite m and arbitrarily large n [i]
198No OA(4mm+nS4, 200) with finite m and arbitrarily large n [i]
199No OA(4mm+nS4, 201) with finite m and arbitrarily large n [i]
200No OA(4mm+nS4, 202) with finite m and arbitrarily large n [i]
201No OA(4mm+nS4, 203) with finite m and arbitrarily large n [i]
202No OA(4mm+nS4, 204) with finite m and arbitrarily large n [i]
203No OA(4mm+nS4, 205) with finite m and arbitrarily large n [i]
204No OA(4mm+nS4, 206) with finite m and arbitrarily large n [i]
205No OA(4mm+nS4, 207) with finite m and arbitrarily large n [i]
206No OA(4mm+nS4, 208) with finite m and arbitrarily large n [i]
207No OA(4mm+nS4, 209) with finite m and arbitrarily large n [i]
208No OA(4mm+nS4, 210) with finite m and arbitrarily large n [i]
209No OA(4mm+nS4, 211) with finite m and arbitrarily large n [i]
210No OA(4mm+nS4, 212) with finite m and arbitrarily large n [i]
211No OA(4mm+nS4, 213) with finite m and arbitrarily large n [i]
212No OA(4mm+nS4, 214) with finite m and arbitrarily large n [i]
213No OA(4mm+nS4, 215) with finite m and arbitrarily large n [i]
214No OA(4mm+nS4, 216) with finite m and arbitrarily large n [i]
215No OA(4mm+nS4, 217) with finite m and arbitrarily large n [i]
216No OA(4mm+nS4, 218) with finite m and arbitrarily large n [i]
217No OA(4mm+nS4, 219) with finite m and arbitrarily large n [i]
218No OA(4mm+nS4, 220) with finite m and arbitrarily large n [i]
219No OA(4mm+nS4, 221) with finite m and arbitrarily large n [i]
220No OA(4mm+nS4, 222) with finite m and arbitrarily large n [i]
221No OA(4mm+nS4, 223) with finite m and arbitrarily large n [i]
222No OA(4mm+nS4, 224) with finite m and arbitrarily large n [i]
223No OA(4mm+nS4, 225) with finite m and arbitrarily large n [i]
224No OA(4mm+nS4, 226) with finite m and arbitrarily large n [i]
225No OA(4mm+nS4, 227) with finite m and arbitrarily large n [i]
226No OA(4mm+nS4, 228) with finite m and arbitrarily large n [i]
227No OA(4mm+nS4, 229) with finite m and arbitrarily large n [i]
228No OA(4mm+nS4, 230) with finite m and arbitrarily large n [i]
229No OA(4mm+nS4, 231) with finite m and arbitrarily large n [i]
230No OA(4mm+nS4, 232) with finite m and arbitrarily large n [i]
231No OA(4mm+nS4, 233) with finite m and arbitrarily large n [i]
232No OA(4mm+nS4, 234) with finite m and arbitrarily large n [i]
233No OA(4mm+nS4, 235) with finite m and arbitrarily large n [i]
234No OA(4mm+nS4, 236) with finite m and arbitrarily large n [i]
235No OA(4mm+nS4, 237) with finite m and arbitrarily large n [i]
236No OA(4mm+nS4, 238) with finite m and arbitrarily large n [i]
237No OA(4mm+nS4, 239) with finite m and arbitrarily large n [i]
238No OA(4mm+nS4, 240) with finite m and arbitrarily large n [i]
239No OA(4mm+nS4, 241) with finite m and arbitrarily large n [i]
240No OA(4mm+nS4, 242) with finite m and arbitrarily large n [i]
241No OA(4mm+nS4, 243) with finite m and arbitrarily large n [i]
242No OA(4mm+nS4, 244) with finite m and arbitrarily large n [i]
243No OA(4mm+nS4, 245) with finite m and arbitrarily large n [i]
244No OA(4mm+nS4, 246) with finite m and arbitrarily large n [i]
245No OA(4mm+nS4, 247) with finite m and arbitrarily large n [i]
246No OA(4mm+nS4, 248) with finite m and arbitrarily large n [i]
247No OA(4mm+nS4, 249) with finite m and arbitrarily large n [i]
248No OA(4mm+nS4, 250) with finite m and arbitrarily large n [i]
249No OA(4mm+nS4, 251) with finite m and arbitrarily large n [i]
250No OA(4mm+nS4, 252) with finite m and arbitrarily large n [i]
251No OA(4mm+nS4, 253) with finite m and arbitrarily large n [i]
252No OA(4mm+nS4, 254) with finite m and arbitrarily large n [i]
253No OA(4mm+nS4, 255) with finite m and arbitrarily large n [i]
254No OA(4mm+nS4, 256) with finite m and arbitrarily large n [i]
255No OA(4mm+nS4, 257) with finite m and arbitrarily large n [i]
256No OA(4mm+nS4, 258) with finite m and arbitrarily large n [i]
257No OA(4mm+nS4, 259) with finite m and arbitrarily large n [i]
258No OA(4mm+nS4, 260) with finite m and arbitrarily large n [i]