Information on Result #1966911

There is no OA(3n+2sS3, 2) with finite t and arbitrarily large s, 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 k and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(3n+3sS3, 3) with finite t and arbitrarily large s [i]Strength Reduction
2No OA(3n+4sS3, 4) with finite t and arbitrarily large s [i]
3No OA(3n+5sS3, 5) with finite t and arbitrarily large s [i]
4No OA(3n+6sS3, 6) with finite t and arbitrarily large s [i]
5No OA(3n+7sS3, 7) with finite t and arbitrarily large s [i]
6No OA(3n+8sS3, 8) with finite t and arbitrarily large s [i]
7No OA(3n+9sS3, 9) with finite t and arbitrarily large s [i]
8No OA(3n+10sS3, 10) with finite t and arbitrarily large s [i]
9No OA(3n+11sS3, 11) with finite t and arbitrarily large s [i]
10No OA(3n+12sS3, 12) with finite t and arbitrarily large s [i]
11No OA(3n+13sS3, 13) with finite t and arbitrarily large s [i]
12No OA(3n+14sS3, 14) with finite t and arbitrarily large s [i]
13No OA(3n+15sS3, 15) with finite t and arbitrarily large s [i]
14No OA(3n+16sS3, 16) with finite t and arbitrarily large s [i]
15No OA(3n+17sS3, 17) with finite t and arbitrarily large s [i]
16No OA(3n+18sS3, 18) with finite t and arbitrarily large s [i]
17No OA(3n+19sS3, 19) with finite t and arbitrarily large s [i]
18No OA(3n+20sS3, 20) with finite t and arbitrarily large s [i]
19No OA(3n+21sS3, 21) with finite t and arbitrarily large s [i]
20No OA(3n+22sS3, 22) with finite t and arbitrarily large s [i]
21No OA(3n+23sS3, 23) with finite t and arbitrarily large s [i]
22No OA(3n+24sS3, 24) with finite t and arbitrarily large s [i]
23No OA(3n+25sS3, 25) with finite t and arbitrarily large s [i]
24No OA(3n+26sS3, 26) with finite t and arbitrarily large s [i]
25No OA(3n+27sS3, 27) with finite t and arbitrarily large s [i]
26No OA(3n+28sS3, 28) with finite t and arbitrarily large s [i]
27No OA(3n+29sS3, 29) with finite t and arbitrarily large s [i]
28No OA(3n+30sS3, 30) with finite t and arbitrarily large s [i]
29No OA(3n+31sS3, 31) with finite t and arbitrarily large s [i]
30No OA(3n+32sS3, 32) with finite t and arbitrarily large s [i]
31No OA(3n+33sS3, 33) with finite t and arbitrarily large s [i]
32No OA(3n+34sS3, 34) with finite t and arbitrarily large s [i]
33No OA(3n+35sS3, 35) with finite t and arbitrarily large s [i]
34No OA(3n+36sS3, 36) with finite t and arbitrarily large s [i]
35No OA(3n+37sS3, 37) with finite t and arbitrarily large s [i]
36No OA(3n+38sS3, 38) with finite t and arbitrarily large s [i]
37No OA(3n+39sS3, 39) with finite t and arbitrarily large s [i]
38No OA(3n+40sS3, 40) with finite t and arbitrarily large s [i]
39No OA(3n+41sS3, 41) with finite t and arbitrarily large s [i]
40No OA(3n+42sS3, 42) with finite t and arbitrarily large s [i]
41No OA(3n+43sS3, 43) with finite t and arbitrarily large s [i]
42No OA(3n+44sS3, 44) with finite t and arbitrarily large s [i]
43No OA(3n+45sS3, 45) with finite t and arbitrarily large s [i]
44No OA(3n+46sS3, 46) with finite t and arbitrarily large s [i]
45No OA(3n+47sS3, 47) with finite t and arbitrarily large s [i]
46No OA(3n+48sS3, 48) with finite t and arbitrarily large s [i]
47No OA(3n+49sS3, 49) with finite t and arbitrarily large s [i]
48No OA(3n+50sS3, 50) with finite t and arbitrarily large s [i]
49No OA(3n+51sS3, 51) with finite t and arbitrarily large s [i]
50No OA(3n+52sS3, 52) with finite t and arbitrarily large s [i]
51No OA(3n+53sS3, 53) with finite t and arbitrarily large s [i]
52No OA(3n+54sS3, 54) with finite t and arbitrarily large s [i]
53No OA(3n+55sS3, 55) with finite t and arbitrarily large s [i]
54No OA(3n+56sS3, 56) with finite t and arbitrarily large s [i]
55No OA(3n+57sS3, 57) with finite t and arbitrarily large s [i]
56No OA(3n+58sS3, 58) with finite t and arbitrarily large s [i]
57No OA(3n+59sS3, 59) with finite t and arbitrarily large s [i]
58No OA(3n+60sS3, 60) with finite t and arbitrarily large s [i]
59No OA(3n+61sS3, 61) with finite t and arbitrarily large s [i]
60No OA(3n+62sS3, 62) with finite t and arbitrarily large s [i]
61No OA(3n+63sS3, 63) with finite t and arbitrarily large s [i]
62No OA(3n+64sS3, 64) with finite t and arbitrarily large s [i]
63No OA(3n+65sS3, 65) with finite t and arbitrarily large s [i]
64No OA(3n+66sS3, 66) with finite t and arbitrarily large s [i]
65No OA(3n+67sS3, 67) with finite t and arbitrarily large s [i]
66No OA(3n+68sS3, 68) with finite t and arbitrarily large s [i]
67No OA(3n+69sS3, 69) with finite t and arbitrarily large s [i]
68No OA(3n+70sS3, 70) with finite t and arbitrarily large s [i]
69No OA(3n+71sS3, 71) with finite t and arbitrarily large s [i]
70No OA(3n+72sS3, 72) with finite t and arbitrarily large s [i]
71No OA(3n+73sS3, 73) with finite t and arbitrarily large s [i]
72No OA(3n+74sS3, 74) with finite t and arbitrarily large s [i]
73No OA(3n+75sS3, 75) with finite t and arbitrarily large s [i]
74No OA(3n+76sS3, 76) with finite t and arbitrarily large s [i]
75No OA(3n+77sS3, 77) with finite t and arbitrarily large s [i]
76No OA(3n+78sS3, 78) with finite t and arbitrarily large s [i]
77No OA(3n+79sS3, 79) with finite t and arbitrarily large s [i]
78No OA(3n+80sS3, 80) with finite t and arbitrarily large s [i]
79No OA(3n+81sS3, 81) with finite t and arbitrarily large s [i]
80No OA(3n+82sS3, 82) with finite t and arbitrarily large s [i]
81No OA(3n+83sS3, 83) with finite t and arbitrarily large s [i]
82No OA(3n+84sS3, 84) with finite t and arbitrarily large s [i]
83No OA(3n+85sS3, 85) with finite t and arbitrarily large s [i]
84No OA(3n+86sS3, 86) with finite t and arbitrarily large s [i]
85No OA(3n+87sS3, 87) with finite t and arbitrarily large s [i]
86No OA(3n+88sS3, 88) with finite t and arbitrarily large s [i]
87No OA(3n+89sS3, 89) with finite t and arbitrarily large s [i]
88No OA(3n+90sS3, 90) with finite t and arbitrarily large s [i]
89No OA(3n+91sS3, 91) with finite t and arbitrarily large s [i]
90No OA(3n+92sS3, 92) with finite t and arbitrarily large s [i]
91No OA(3n+93sS3, 93) with finite t and arbitrarily large s [i]
92No OA(3n+94sS3, 94) with finite t and arbitrarily large s [i]
93No OA(3n+95sS3, 95) with finite t and arbitrarily large s [i]
94No OA(3n+96sS3, 96) with finite t and arbitrarily large s [i]
95No OA(3n+97sS3, 97) with finite t and arbitrarily large s [i]
96No OA(3n+98sS3, 98) with finite t and arbitrarily large s [i]
97No OA(3n+99sS3, 99) with finite t and arbitrarily large s [i]
98No OA(3n+100sS3, 100) with finite t and arbitrarily large s [i]
99No OA(3n+101sS3, 101) with finite t and arbitrarily large s [i]
100No OA(3n+102sS3, 102) with finite t and arbitrarily large s [i]
101No OA(3n+103sS3, 103) with finite t and arbitrarily large s [i]
102No OA(3n+104sS3, 104) with finite t and arbitrarily large s [i]
103No OA(3n+105sS3, 105) with finite t and arbitrarily large s [i]
104No OA(3n+106sS3, 106) with finite t and arbitrarily large s [i]
105No OA(3n+107sS3, 107) with finite t and arbitrarily large s [i]
106No OA(3n+108sS3, 108) with finite t and arbitrarily large s [i]
107No OA(3n+109sS3, 109) with finite t and arbitrarily large s [i]
108No OA(3n+110sS3, 110) with finite t and arbitrarily large s [i]
109No OA(3n+111sS3, 111) with finite t and arbitrarily large s [i]
110No OA(3n+112sS3, 112) with finite t and arbitrarily large s [i]
111No OA(3n+113sS3, 113) with finite t and arbitrarily large s [i]
112No OA(3n+114sS3, 114) with finite t and arbitrarily large s [i]
113No OA(3n+115sS3, 115) with finite t and arbitrarily large s [i]
114No OA(3n+116sS3, 116) with finite t and arbitrarily large s [i]
115No OA(3n+117sS3, 117) with finite t and arbitrarily large s [i]
116No OA(3n+118sS3, 118) with finite t and arbitrarily large s [i]
117No OA(3n+119sS3, 119) with finite t and arbitrarily large s [i]
118No OA(3n+120sS3, 120) with finite t and arbitrarily large s [i]
119No OA(3n+121sS3, 121) with finite t and arbitrarily large s [i]
120No OA(3n+122sS3, 122) with finite t and arbitrarily large s [i]
121No OA(3n+123sS3, 123) with finite t and arbitrarily large s [i]
122No OA(3n+124sS3, 124) with finite t and arbitrarily large s [i]
123No OA(3n+125sS3, 125) with finite t and arbitrarily large s [i]
124No OA(3n+126sS3, 126) with finite t and arbitrarily large s [i]
125No OA(3n+127sS3, 127) with finite t and arbitrarily large s [i]
126No OA(3n+128sS3, 128) with finite t and arbitrarily large s [i]
127No OA(3n+129sS3, 129) with finite t and arbitrarily large s [i]
128No OA(3n+130sS3, 130) with finite t and arbitrarily large s [i]
129No OA(3n+131sS3, 131) with finite t and arbitrarily large s [i]
130No OA(3n+132sS3, 132) with finite t and arbitrarily large s [i]
131No OA(3n+133sS3, 133) with finite t and arbitrarily large s [i]
132No OA(3n+134sS3, 134) with finite t and arbitrarily large s [i]
133No OA(3n+135sS3, 135) with finite t and arbitrarily large s [i]
134No OA(3n+136sS3, 136) with finite t and arbitrarily large s [i]
135No OA(3n+137sS3, 137) with finite t and arbitrarily large s [i]
136No OA(3n+138sS3, 138) with finite t and arbitrarily large s [i]
137No OA(3n+139sS3, 139) with finite t and arbitrarily large s [i]
138No OA(3n+140sS3, 140) with finite t and arbitrarily large s [i]
139No OA(3n+141sS3, 141) with finite t and arbitrarily large s [i]
140No OA(3n+142sS3, 142) with finite t and arbitrarily large s [i]
141No OA(3n+143sS3, 143) with finite t and arbitrarily large s [i]
142No OA(3n+144sS3, 144) with finite t and arbitrarily large s [i]
143No OA(3n+145sS3, 145) with finite t and arbitrarily large s [i]
144No OA(3n+146sS3, 146) with finite t and arbitrarily large s [i]
145No OA(3n+147sS3, 147) with finite t and arbitrarily large s [i]
146No OA(3n+148sS3, 148) with finite t and arbitrarily large s [i]
147No OA(3n+149sS3, 149) with finite t and arbitrarily large s [i]
148No OA(3n+150sS3, 150) with finite t and arbitrarily large s [i]
149No OA(3n+151sS3, 151) with finite t and arbitrarily large s [i]
150No OA(3n+152sS3, 152) with finite t and arbitrarily large s [i]
151No OA(3n+153sS3, 153) with finite t and arbitrarily large s [i]
152No OA(3n+154sS3, 154) with finite t and arbitrarily large s [i]
153No OA(3n+155sS3, 155) with finite t and arbitrarily large s [i]
154No OA(3n+156sS3, 156) with finite t and arbitrarily large s [i]
155No OA(3n+157sS3, 157) with finite t and arbitrarily large s [i]
156No OA(3n+158sS3, 158) with finite t and arbitrarily large s [i]
157No OA(3n+159sS3, 159) with finite t and arbitrarily large s [i]
158No OA(3n+160sS3, 160) with finite t and arbitrarily large s [i]
159No OA(3n+161sS3, 161) with finite t and arbitrarily large s [i]
160No OA(3n+162sS3, 162) with finite t and arbitrarily large s [i]
161No OA(3n+163sS3, 163) with finite t and arbitrarily large s [i]
162No OA(3n+164sS3, 164) with finite t and arbitrarily large s [i]
163No OA(3n+165sS3, 165) with finite t and arbitrarily large s [i]
164No OA(3n+166sS3, 166) with finite t and arbitrarily large s [i]
165No OA(3n+167sS3, 167) with finite t and arbitrarily large s [i]
166No OA(3n+168sS3, 168) with finite t and arbitrarily large s [i]
167No OA(3n+169sS3, 169) with finite t and arbitrarily large s [i]
168No OA(3n+170sS3, 170) with finite t and arbitrarily large s [i]
169No OA(3n+171sS3, 171) with finite t and arbitrarily large s [i]
170No OA(3n+172sS3, 172) with finite t and arbitrarily large s [i]
171No OA(3n+173sS3, 173) with finite t and arbitrarily large s [i]
172No OA(3n+174sS3, 174) with finite t and arbitrarily large s [i]
173No OA(3n+175sS3, 175) with finite t and arbitrarily large s [i]
174No OA(3n+176sS3, 176) with finite t and arbitrarily large s [i]
175No OA(3n+177sS3, 177) with finite t and arbitrarily large s [i]
176No OA(3n+178sS3, 178) with finite t and arbitrarily large s [i]
177No OA(3n+179sS3, 179) with finite t and arbitrarily large s [i]
178No OA(3n+180sS3, 180) with finite t and arbitrarily large s [i]
179No OA(3n+181sS3, 181) with finite t and arbitrarily large s [i]
180No OA(3n+182sS3, 182) with finite t and arbitrarily large s [i]
181No OA(3n+183sS3, 183) with finite t and arbitrarily large s [i]
182No OA(3n+184sS3, 184) with finite t and arbitrarily large s [i]
183No OA(3n+185sS3, 185) with finite t and arbitrarily large s [i]
184No OA(3n+186sS3, 186) with finite t and arbitrarily large s [i]
185No OA(3n+187sS3, 187) with finite t and arbitrarily large s [i]
186No OA(3n+188sS3, 188) with finite t and arbitrarily large s [i]
187No OA(3n+189sS3, 189) with finite t and arbitrarily large s [i]
188No OA(3n+190sS3, 190) with finite t and arbitrarily large s [i]
189No OA(3n+191sS3, 191) with finite t and arbitrarily large s [i]
190No OA(3n+192sS3, 192) with finite t and arbitrarily large s [i]
191No OA(3n+193sS3, 193) with finite t and arbitrarily large s [i]
192No OA(3n+194sS3, 194) with finite t and arbitrarily large s [i]
193No OA(3n+195sS3, 195) with finite t and arbitrarily large s [i]
194No OA(3n+196sS3, 196) with finite t and arbitrarily large s [i]
195No OA(3n+197sS3, 197) with finite t and arbitrarily large s [i]
196No OA(3n+198sS3, 198) with finite t and arbitrarily large s [i]
197No OA(3n+199sS3, 199) with finite t and arbitrarily large s [i]
198No OA(3n+200sS3, 200) with finite t and arbitrarily large s [i]
199No OA(3n+201sS3, 201) with finite t and arbitrarily large s [i]
200No OA(3n+202sS3, 202) with finite t and arbitrarily large s [i]
201No OA(3n+203sS3, 203) with finite t and arbitrarily large s [i]
202No OA(3n+204sS3, 204) with finite t and arbitrarily large s [i]
203No OA(3n+205sS3, 205) with finite t and arbitrarily large s [i]
204No OA(3n+206sS3, 206) with finite t and arbitrarily large s [i]
205No OA(3n+207sS3, 207) with finite t and arbitrarily large s [i]
206No OA(3n+208sS3, 208) with finite t and arbitrarily large s [i]
207No OA(3n+209sS3, 209) with finite t and arbitrarily large s [i]
208No OA(3n+210sS3, 210) with finite t and arbitrarily large s [i]
209No OA(3n+211sS3, 211) with finite t and arbitrarily large s [i]
210No OA(3n+212sS3, 212) with finite t and arbitrarily large s [i]
211No OA(3n+213sS3, 213) with finite t and arbitrarily large s [i]
212No OA(3n+214sS3, 214) with finite t and arbitrarily large s [i]
213No OA(3n+215sS3, 215) with finite t and arbitrarily large s [i]
214No OA(3n+216sS3, 216) with finite t and arbitrarily large s [i]
215No OA(3n+217sS3, 217) with finite t and arbitrarily large s [i]
216No OA(3n+218sS3, 218) with finite t and arbitrarily large s [i]
217No OA(3n+219sS3, 219) with finite t and arbitrarily large s [i]
218No OA(3n+220sS3, 220) with finite t and arbitrarily large s [i]
219No OA(3n+221sS3, 221) with finite t and arbitrarily large s [i]
220No OA(3n+222sS3, 222) with finite t and arbitrarily large s [i]
221No OA(3n+223sS3, 223) with finite t and arbitrarily large s [i]
222No OA(3n+224sS3, 224) with finite t and arbitrarily large s [i]
223No OA(3n+225sS3, 225) with finite t and arbitrarily large s [i]
224No OA(3n+226sS3, 226) with finite t and arbitrarily large s [i]
225No OA(3n+227sS3, 227) with finite t and arbitrarily large s [i]
226No OA(3n+228sS3, 228) with finite t and arbitrarily large s [i]
227No OA(3n+229sS3, 229) with finite t and arbitrarily large s [i]
228No OA(3n+230sS3, 230) with finite t and arbitrarily large s [i]
229No OA(3n+231sS3, 231) with finite t and arbitrarily large s [i]
230No OA(3n+232sS3, 232) with finite t and arbitrarily large s [i]
231No OA(3n+233sS3, 233) with finite t and arbitrarily large s [i]
232No OA(3n+234sS3, 234) with finite t and arbitrarily large s [i]
233No OA(3n+235sS3, 235) with finite t and arbitrarily large s [i]
234No OA(3n+236sS3, 236) with finite t and arbitrarily large s [i]
235No OA(3n+237sS3, 237) with finite t and arbitrarily large s [i]
236No OA(3n+238sS3, 238) with finite t and arbitrarily large s [i]
237No OA(3n+239sS3, 239) with finite t and arbitrarily large s [i]
238No OA(3n+240sS3, 240) with finite t and arbitrarily large s [i]
239No OA(3n+241sS3, 241) with finite t and arbitrarily large s [i]
240No OA(3n+242sS3, 242) with finite t and arbitrarily large s [i]
241No OA(3n+243sS3, 243) with finite t and arbitrarily large s [i]
242No OA(3n+244sS3, 244) with finite t and arbitrarily large s [i]
243No OA(3n+245sS3, 245) with finite t and arbitrarily large s [i]
244No OA(3n+246sS3, 246) with finite t and arbitrarily large s [i]
245No OA(3n+247sS3, 247) with finite t and arbitrarily large s [i]
246No OA(3n+248sS3, 248) with finite t and arbitrarily large s [i]
247No OA(3n+249sS3, 249) with finite t and arbitrarily large s [i]
248No OA(3n+250sS3, 250) with finite t and arbitrarily large s [i]