MinT - Information on Result #1966937

Information on Result #1966937

There is no OA(16ⁿ⁺², s, S₁₆, 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(16ⁿ⁺³, s, S₁₆, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(16ⁿ⁺⁴, s, S₁₆, 4) with finite t and arbitrarily large s	[i]
3	No OA(16ⁿ⁺⁵, s, S₁₆, 5) with finite t and arbitrarily large s	[i]
4	No OA(16ⁿ⁺⁶, s, S₁₆, 6) with finite t and arbitrarily large s	[i]
5	No OA(16ⁿ⁺⁷, s, S₁₆, 7) with finite t and arbitrarily large s	[i]
6	No OA(16ⁿ⁺⁸, s, S₁₆, 8) with finite t and arbitrarily large s	[i]
7	No OA(16ⁿ⁺⁹, s, S₁₆, 9) with finite t and arbitrarily large s	[i]
8	No OA(16ⁿ⁺¹⁰, s, S₁₆, 10) with finite t and arbitrarily large s	[i]
9	No OA(16ⁿ⁺¹¹, s, S₁₆, 11) with finite t and arbitrarily large s	[i]
10	No OA(16ⁿ⁺¹², s, S₁₆, 12) with finite t and arbitrarily large s	[i]
11	No OA(16ⁿ⁺¹³, s, S₁₆, 13) with finite t and arbitrarily large s	[i]
12	No OA(16ⁿ⁺¹⁴, s, S₁₆, 14) with finite t and arbitrarily large s	[i]
13	No OA(16ⁿ⁺¹⁵, s, S₁₆, 15) with finite t and arbitrarily large s	[i]
14	No OA(16ⁿ⁺¹⁶, s, S₁₆, 16) with finite t and arbitrarily large s	[i]
15	No OA(16ⁿ⁺¹⁷, s, S₁₆, 17) with finite t and arbitrarily large s	[i]
16	No OA(16ⁿ⁺¹⁸, s, S₁₆, 18) with finite t and arbitrarily large s	[i]
17	No OA(16ⁿ⁺¹⁹, s, S₁₆, 19) with finite t and arbitrarily large s	[i]
18	No OA(16ⁿ⁺²⁰, s, S₁₆, 20) with finite t and arbitrarily large s	[i]
19	No OA(16ⁿ⁺²¹, s, S₁₆, 21) with finite t and arbitrarily large s	[i]
20	No OA(16ⁿ⁺²², s, S₁₆, 22) with finite t and arbitrarily large s	[i]
21	No OA(16ⁿ⁺²³, s, S₁₆, 23) with finite t and arbitrarily large s	[i]
22	No OA(16ⁿ⁺²⁴, s, S₁₆, 24) with finite t and arbitrarily large s	[i]
23	No OA(16ⁿ⁺²⁵, s, S₁₆, 25) with finite t and arbitrarily large s	[i]
24	No OA(16ⁿ⁺²⁶, s, S₁₆, 26) with finite t and arbitrarily large s	[i]
25	No OA(16ⁿ⁺²⁷, s, S₁₆, 27) with finite t and arbitrarily large s	[i]
26	No OA(16ⁿ⁺²⁸, s, S₁₆, 28) with finite t and arbitrarily large s	[i]
27	No OA(16ⁿ⁺²⁹, s, S₁₆, 29) with finite t and arbitrarily large s	[i]
28	No OA(16ⁿ⁺³⁰, s, S₁₆, 30) with finite t and arbitrarily large s	[i]
29	No OA(16ⁿ⁺³¹, s, S₁₆, 31) with finite t and arbitrarily large s	[i]
30	No OA(16ⁿ⁺³², s, S₁₆, 32) with finite t and arbitrarily large s	[i]
31	No OA(16ⁿ⁺³³, s, S₁₆, 33) with finite t and arbitrarily large s	[i]
32	No OA(16ⁿ⁺³⁴, s, S₁₆, 34) with finite t and arbitrarily large s	[i]
33	No OA(16ⁿ⁺³⁵, s, S₁₆, 35) with finite t and arbitrarily large s	[i]
34	No OA(16ⁿ⁺³⁶, s, S₁₆, 36) with finite t and arbitrarily large s	[i]
35	No OA(16ⁿ⁺³⁷, s, S₁₆, 37) with finite t and arbitrarily large s	[i]
36	No OA(16ⁿ⁺³⁸, s, S₁₆, 38) with finite t and arbitrarily large s	[i]
37	No OA(16ⁿ⁺³⁹, s, S₁₆, 39) with finite t and arbitrarily large s	[i]
38	No OA(16ⁿ⁺⁴⁰, s, S₁₆, 40) with finite t and arbitrarily large s	[i]
39	No OA(16ⁿ⁺⁴¹, s, S₁₆, 41) with finite t and arbitrarily large s	[i]
40	No OA(16ⁿ⁺⁴², s, S₁₆, 42) with finite t and arbitrarily large s	[i]
41	No OA(16ⁿ⁺⁴³, s, S₁₆, 43) with finite t and arbitrarily large s	[i]
42	No OA(16ⁿ⁺⁴⁴, s, S₁₆, 44) with finite t and arbitrarily large s	[i]
43	No OA(16ⁿ⁺⁴⁵, s, S₁₆, 45) with finite t and arbitrarily large s	[i]
44	No OA(16ⁿ⁺⁴⁶, s, S₁₆, 46) with finite t and arbitrarily large s	[i]
45	No OA(16ⁿ⁺⁴⁷, s, S₁₆, 47) with finite t and arbitrarily large s	[i]
46	No OA(16ⁿ⁺⁴⁸, s, S₁₆, 48) with finite t and arbitrarily large s	[i]
47	No OA(16ⁿ⁺⁴⁹, s, S₁₆, 49) with finite t and arbitrarily large s	[i]
48	No OA(16ⁿ⁺⁵⁰, s, S₁₆, 50) with finite t and arbitrarily large s	[i]
49	No OA(16ⁿ⁺⁵¹, s, S₁₆, 51) with finite t and arbitrarily large s	[i]
50	No OA(16ⁿ⁺⁵², s, S₁₆, 52) with finite t and arbitrarily large s	[i]
51	No OA(16ⁿ⁺⁵³, s, S₁₆, 53) with finite t and arbitrarily large s	[i]
52	No OA(16ⁿ⁺⁵⁴, s, S₁₆, 54) with finite t and arbitrarily large s	[i]
53	No OA(16ⁿ⁺⁵⁵, s, S₁₆, 55) with finite t and arbitrarily large s	[i]
54	No OA(16ⁿ⁺⁵⁶, s, S₁₆, 56) with finite t and arbitrarily large s	[i]
55	No OA(16ⁿ⁺⁵⁷, s, S₁₆, 57) with finite t and arbitrarily large s	[i]
56	No OA(16ⁿ⁺⁵⁸, s, S₁₆, 58) with finite t and arbitrarily large s	[i]
57	No OA(16ⁿ⁺⁵⁹, s, S₁₆, 59) with finite t and arbitrarily large s	[i]
58	No OA(16ⁿ⁺⁶⁰, s, S₁₆, 60) with finite t and arbitrarily large s	[i]
59	No OA(16ⁿ⁺⁶¹, s, S₁₆, 61) with finite t and arbitrarily large s	[i]
60	No OA(16ⁿ⁺⁶², s, S₁₆, 62) with finite t and arbitrarily large s	[i]
61	No OA(16ⁿ⁺⁶³, s, S₁₆, 63) with finite t and arbitrarily large s	[i]
62	No OA(16ⁿ⁺⁶⁴, s, S₁₆, 64) with finite t and arbitrarily large s	[i]
63	No OA(16ⁿ⁺⁶⁵, s, S₁₆, 65) with finite t and arbitrarily large s	[i]
64	No OA(16ⁿ⁺⁶⁶, s, S₁₆, 66) with finite t and arbitrarily large s	[i]
65	No OA(16ⁿ⁺⁶⁷, s, S₁₆, 67) with finite t and arbitrarily large s	[i]
66	No OA(16ⁿ⁺⁶⁸, s, S₁₆, 68) with finite t and arbitrarily large s	[i]
67	No OA(16ⁿ⁺⁶⁹, s, S₁₆, 69) with finite t and arbitrarily large s	[i]
68	No OA(16ⁿ⁺⁷⁰, s, S₁₆, 70) with finite t and arbitrarily large s	[i]
69	No OA(16ⁿ⁺⁷¹, s, S₁₆, 71) with finite t and arbitrarily large s	[i]
70	No OA(16ⁿ⁺⁷², s, S₁₆, 72) with finite t and arbitrarily large s	[i]
71	No OA(16ⁿ⁺⁷³, s, S₁₆, 73) with finite t and arbitrarily large s	[i]
72	No OA(16ⁿ⁺⁷⁴, s, S₁₆, 74) with finite t and arbitrarily large s	[i]
73	No OA(16ⁿ⁺⁷⁵, s, S₁₆, 75) with finite t and arbitrarily large s	[i]
74	No OA(16ⁿ⁺⁷⁶, s, S₁₆, 76) with finite t and arbitrarily large s	[i]
75	No OA(16ⁿ⁺⁷⁷, s, S₁₆, 77) with finite t and arbitrarily large s	[i]
76	No OA(16ⁿ⁺⁷⁸, s, S₁₆, 78) with finite t and arbitrarily large s	[i]
77	No OA(16ⁿ⁺⁷⁹, s, S₁₆, 79) with finite t and arbitrarily large s	[i]
78	No OA(16ⁿ⁺⁸⁰, s, S₁₆, 80) with finite t and arbitrarily large s	[i]
79	No OA(16ⁿ⁺⁸¹, s, S₁₆, 81) with finite t and arbitrarily large s	[i]
80	No OA(16ⁿ⁺⁸², s, S₁₆, 82) with finite t and arbitrarily large s	[i]
81	No OA(16ⁿ⁺⁸³, s, S₁₆, 83) with finite t and arbitrarily large s	[i]
82	No OA(16ⁿ⁺⁸⁴, s, S₁₆, 84) with finite t and arbitrarily large s	[i]
83	No OA(16ⁿ⁺⁸⁵, s, S₁₆, 85) with finite t and arbitrarily large s	[i]
84	No OA(16ⁿ⁺⁸⁶, s, S₁₆, 86) with finite t and arbitrarily large s	[i]
85	No OA(16ⁿ⁺⁸⁷, s, S₁₆, 87) with finite t and arbitrarily large s	[i]
86	No OA(16ⁿ⁺⁸⁸, s, S₁₆, 88) with finite t and arbitrarily large s	[i]
87	No OA(16ⁿ⁺⁸⁹, s, S₁₆, 89) with finite t and arbitrarily large s	[i]
88	No OA(16ⁿ⁺⁹⁰, s, S₁₆, 90) with finite t and arbitrarily large s	[i]
89	No OA(16ⁿ⁺⁹¹, s, S₁₆, 91) with finite t and arbitrarily large s	[i]
90	No OA(16ⁿ⁺⁹², s, S₁₆, 92) with finite t and arbitrarily large s	[i]
91	No OA(16ⁿ⁺⁹³, s, S₁₆, 93) with finite t and arbitrarily large s	[i]
92	No OA(16ⁿ⁺⁹⁴, s, S₁₆, 94) with finite t and arbitrarily large s	[i]
93	No OA(16ⁿ⁺⁹⁵, s, S₁₆, 95) with finite t and arbitrarily large s	[i]
94	No OA(16ⁿ⁺⁹⁶, s, S₁₆, 96) with finite t and arbitrarily large s	[i]
95	No OA(16ⁿ⁺⁹⁷, s, S₁₆, 97) with finite t and arbitrarily large s	[i]
96	No OA(16ⁿ⁺⁹⁸, s, S₁₆, 98) with finite t and arbitrarily large s	[i]
97	No OA(16ⁿ⁺⁹⁹, s, S₁₆, 99) with finite t and arbitrarily large s	[i]
98	No OA(16ⁿ⁺¹⁰⁰, s, S₁₆, 100) with finite t and arbitrarily large s	[i]
99	No OA(16ⁿ⁺¹⁰¹, s, S₁₆, 101) with finite t and arbitrarily large s	[i]
100	No OA(16ⁿ⁺¹⁰², s, S₁₆, 102) with finite t and arbitrarily large s	[i]
101	No OA(16ⁿ⁺¹⁰³, s, S₁₆, 103) with finite t and arbitrarily large s	[i]
102	No OA(16ⁿ⁺¹⁰⁴, s, S₁₆, 104) with finite t and arbitrarily large s	[i]
103	No OA(16ⁿ⁺¹⁰⁵, s, S₁₆, 105) with finite t and arbitrarily large s	[i]
104	No OA(16ⁿ⁺¹⁰⁶, s, S₁₆, 106) with finite t and arbitrarily large s	[i]
105	No OA(16ⁿ⁺¹⁰⁷, s, S₁₆, 107) with finite t and arbitrarily large s	[i]
106	No OA(16ⁿ⁺¹⁰⁸, s, S₁₆, 108) with finite t and arbitrarily large s	[i]
107	No OA(16ⁿ⁺¹⁰⁹, s, S₁₆, 109) with finite t and arbitrarily large s	[i]
108	No OA(16ⁿ⁺¹¹⁰, s, S₁₆, 110) with finite t and arbitrarily large s	[i]
109	No OA(16ⁿ⁺¹¹¹, s, S₁₆, 111) with finite t and arbitrarily large s	[i]
110	No OA(16ⁿ⁺¹¹², s, S₁₆, 112) with finite t and arbitrarily large s	[i]
111	No OA(16ⁿ⁺¹¹³, s, S₁₆, 113) with finite t and arbitrarily large s	[i]
112	No OA(16ⁿ⁺¹¹⁴, s, S₁₆, 114) with finite t and arbitrarily large s	[i]
113	No OA(16ⁿ⁺¹¹⁵, s, S₁₆, 115) with finite t and arbitrarily large s	[i]
114	No OA(16ⁿ⁺¹¹⁶, s, S₁₆, 116) with finite t and arbitrarily large s	[i]
115	No OA(16ⁿ⁺¹¹⁷, s, S₁₆, 117) with finite t and arbitrarily large s	[i]
116	No OA(16ⁿ⁺¹¹⁸, s, S₁₆, 118) with finite t and arbitrarily large s	[i]
117	No OA(16ⁿ⁺¹¹⁹, s, S₁₆, 119) with finite t and arbitrarily large s	[i]
118	No OA(16ⁿ⁺¹²⁰, s, S₁₆, 120) with finite t and arbitrarily large s	[i]
119	No OA(16ⁿ⁺¹²¹, s, S₁₆, 121) with finite t and arbitrarily large s	[i]
120	No OA(16ⁿ⁺¹²², s, S₁₆, 122) with finite t and arbitrarily large s	[i]
121	No OA(16ⁿ⁺¹²³, s, S₁₆, 123) with finite t and arbitrarily large s	[i]
122	No OA(16ⁿ⁺¹²⁴, s, S₁₆, 124) with finite t and arbitrarily large s	[i]
123	No OA(16ⁿ⁺¹²⁵, s, S₁₆, 125) with finite t and arbitrarily large s	[i]
124	No OA(16ⁿ⁺¹²⁶, s, S₁₆, 126) with finite t and arbitrarily large s	[i]
125	No OA(16ⁿ⁺¹²⁷, s, S₁₆, 127) with finite t and arbitrarily large s	[i]
126	No OA(16ⁿ⁺¹²⁸, s, S₁₆, 128) with finite t and arbitrarily large s	[i]
127	No OA(16ⁿ⁺¹²⁹, s, S₁₆, 129) with finite t and arbitrarily large s	[i]
128	No OA(16ⁿ⁺¹³⁰, s, S₁₆, 130) with finite t and arbitrarily large s	[i]