MinT - Information on Result #1966929

Information on Result #1966929

There is no OA(8ⁿ⁺², s, S₈, 2) with finite t and arbitrarily large s, because lower bound on the number of runs for OAs with strength kÂ =Â 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:

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