MinT - Information on Result #1966946

Information on Result #1966946

There is no OA(32ⁿ⁺², s, S₃₂, 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(32ⁿ⁺³, s, S₃₂, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(32ⁿ⁺⁴, s, S₃₂, 4) with finite t and arbitrarily large s	[i]
3	No OA(32ⁿ⁺⁵, s, S₃₂, 5) with finite t and arbitrarily large s	[i]
4	No OA(32ⁿ⁺⁶, s, S₃₂, 6) with finite t and arbitrarily large s	[i]
5	No OA(32ⁿ⁺⁷, s, S₃₂, 7) with finite t and arbitrarily large s	[i]
6	No OA(32ⁿ⁺⁸, s, S₃₂, 8) with finite t and arbitrarily large s	[i]
7	No OA(32ⁿ⁺⁹, s, S₃₂, 9) with finite t and arbitrarily large s	[i]
8	No OA(32ⁿ⁺¹⁰, s, S₃₂, 10) with finite t and arbitrarily large s	[i]
9	No OA(32ⁿ⁺¹¹, s, S₃₂, 11) with finite t and arbitrarily large s	[i]
10	No OA(32ⁿ⁺¹², s, S₃₂, 12) with finite t and arbitrarily large s	[i]
11	No OA(32ⁿ⁺¹³, s, S₃₂, 13) with finite t and arbitrarily large s	[i]
12	No OA(32ⁿ⁺¹⁴, s, S₃₂, 14) with finite t and arbitrarily large s	[i]
13	No OA(32ⁿ⁺¹⁵, s, S₃₂, 15) with finite t and arbitrarily large s	[i]
14	No OA(32ⁿ⁺¹⁶, s, S₃₂, 16) with finite t and arbitrarily large s	[i]
15	No OA(32ⁿ⁺¹⁷, s, S₃₂, 17) with finite t and arbitrarily large s	[i]
16	No OA(32ⁿ⁺¹⁸, s, S₃₂, 18) with finite t and arbitrarily large s	[i]
17	No OA(32ⁿ⁺¹⁹, s, S₃₂, 19) with finite t and arbitrarily large s	[i]
18	No OA(32ⁿ⁺²⁰, s, S₃₂, 20) with finite t and arbitrarily large s	[i]
19	No OA(32ⁿ⁺²¹, s, S₃₂, 21) with finite t and arbitrarily large s	[i]
20	No OA(32ⁿ⁺²², s, S₃₂, 22) with finite t and arbitrarily large s	[i]
21	No OA(32ⁿ⁺²³, s, S₃₂, 23) with finite t and arbitrarily large s	[i]
22	No OA(32ⁿ⁺²⁴, s, S₃₂, 24) with finite t and arbitrarily large s	[i]
23	No OA(32ⁿ⁺²⁵, s, S₃₂, 25) with finite t and arbitrarily large s	[i]
24	No OA(32ⁿ⁺²⁶, s, S₃₂, 26) with finite t and arbitrarily large s	[i]
25	No OA(32ⁿ⁺²⁷, s, S₃₂, 27) with finite t and arbitrarily large s	[i]
26	No OA(32ⁿ⁺²⁸, s, S₃₂, 28) with finite t and arbitrarily large s	[i]
27	No OA(32ⁿ⁺²⁹, s, S₃₂, 29) with finite t and arbitrarily large s	[i]
28	No OA(32ⁿ⁺³⁰, s, S₃₂, 30) with finite t and arbitrarily large s	[i]
29	No OA(32ⁿ⁺³¹, s, S₃₂, 31) with finite t and arbitrarily large s	[i]
30	No OA(32ⁿ⁺³², s, S₃₂, 32) with finite t and arbitrarily large s	[i]
31	No OA(32ⁿ⁺³³, s, S₃₂, 33) with finite t and arbitrarily large s	[i]
32	No OA(32ⁿ⁺³⁴, s, S₃₂, 34) with finite t and arbitrarily large s	[i]
33	No OA(32ⁿ⁺³⁵, s, S₃₂, 35) with finite t and arbitrarily large s	[i]
34	No OA(32ⁿ⁺³⁶, s, S₃₂, 36) with finite t and arbitrarily large s	[i]
35	No OA(32ⁿ⁺³⁷, s, S₃₂, 37) with finite t and arbitrarily large s	[i]
36	No OA(32ⁿ⁺³⁸, s, S₃₂, 38) with finite t and arbitrarily large s	[i]
37	No OA(32ⁿ⁺³⁹, s, S₃₂, 39) with finite t and arbitrarily large s	[i]
38	No OA(32ⁿ⁺⁴⁰, s, S₃₂, 40) with finite t and arbitrarily large s	[i]
39	No OA(32ⁿ⁺⁴¹, s, S₃₂, 41) with finite t and arbitrarily large s	[i]
40	No OA(32ⁿ⁺⁴², s, S₃₂, 42) with finite t and arbitrarily large s	[i]
41	No OA(32ⁿ⁺⁴³, s, S₃₂, 43) with finite t and arbitrarily large s	[i]
42	No OA(32ⁿ⁺⁴⁴, s, S₃₂, 44) with finite t and arbitrarily large s	[i]
43	No OA(32ⁿ⁺⁴⁵, s, S₃₂, 45) with finite t and arbitrarily large s	[i]
44	No OA(32ⁿ⁺⁴⁶, s, S₃₂, 46) with finite t and arbitrarily large s	[i]
45	No OA(32ⁿ⁺⁴⁷, s, S₃₂, 47) with finite t and arbitrarily large s	[i]
46	No OA(32ⁿ⁺⁴⁸, s, S₃₂, 48) with finite t and arbitrarily large s	[i]
47	No OA(32ⁿ⁺⁴⁹, s, S₃₂, 49) with finite t and arbitrarily large s	[i]
48	No OA(32ⁿ⁺⁵⁰, s, S₃₂, 50) with finite t and arbitrarily large s	[i]
49	No OA(32ⁿ⁺⁵¹, s, S₃₂, 51) with finite t and arbitrarily large s	[i]
50	No OA(32ⁿ⁺⁵², s, S₃₂, 52) with finite t and arbitrarily large s	[i]
51	No OA(32ⁿ⁺⁵³, s, S₃₂, 53) with finite t and arbitrarily large s	[i]
52	No OA(32ⁿ⁺⁵⁴, s, S₃₂, 54) with finite t and arbitrarily large s	[i]
53	No OA(32ⁿ⁺⁵⁵, s, S₃₂, 55) with finite t and arbitrarily large s	[i]
54	No OA(32ⁿ⁺⁵⁶, s, S₃₂, 56) with finite t and arbitrarily large s	[i]
55	No OA(32ⁿ⁺⁵⁷, s, S₃₂, 57) with finite t and arbitrarily large s	[i]
56	No OA(32ⁿ⁺⁵⁸, s, S₃₂, 58) with finite t and arbitrarily large s	[i]
57	No OA(32ⁿ⁺⁵⁹, s, S₃₂, 59) with finite t and arbitrarily large s	[i]
58	No OA(32ⁿ⁺⁶⁰, s, S₃₂, 60) with finite t and arbitrarily large s	[i]
59	No OA(32ⁿ⁺⁶¹, s, S₃₂, 61) with finite t and arbitrarily large s	[i]
60	No OA(32ⁿ⁺⁶², s, S₃₂, 62) with finite t and arbitrarily large s	[i]
61	No OA(32ⁿ⁺⁶³, s, S₃₂, 63) with finite t and arbitrarily large s	[i]
62	No OA(32ⁿ⁺⁶⁴, s, S₃₂, 64) with finite t and arbitrarily large s	[i]
63	No OA(32ⁿ⁺⁶⁵, s, S₃₂, 65) with finite t and arbitrarily large s	[i]
64	No OA(32ⁿ⁺⁶⁶, s, S₃₂, 66) with finite t and arbitrarily large s	[i]
65	No OA(32ⁿ⁺⁶⁷, s, S₃₂, 67) with finite t and arbitrarily large s	[i]
66	No OA(32ⁿ⁺⁶⁸, s, S₃₂, 68) with finite t and arbitrarily large s	[i]
67	No OA(32ⁿ⁺⁶⁹, s, S₃₂, 69) with finite t and arbitrarily large s	[i]
68	No OA(32ⁿ⁺⁷⁰, s, S₃₂, 70) with finite t and arbitrarily large s	[i]
69	No OA(32ⁿ⁺⁷¹, s, S₃₂, 71) with finite t and arbitrarily large s	[i]
70	No OA(32ⁿ⁺⁷², s, S₃₂, 72) with finite t and arbitrarily large s	[i]
71	No OA(32ⁿ⁺⁷³, s, S₃₂, 73) with finite t and arbitrarily large s	[i]
72	No OA(32ⁿ⁺⁷⁴, s, S₃₂, 74) with finite t and arbitrarily large s	[i]
73	No OA(32ⁿ⁺⁷⁵, s, S₃₂, 75) with finite t and arbitrarily large s	[i]
74	No OA(32ⁿ⁺⁷⁶, s, S₃₂, 76) with finite t and arbitrarily large s	[i]
75	No OA(32ⁿ⁺⁷⁷, s, S₃₂, 77) with finite t and arbitrarily large s	[i]
76	No OA(32ⁿ⁺⁷⁸, s, S₃₂, 78) with finite t and arbitrarily large s	[i]
77	No OA(32ⁿ⁺⁷⁹, s, S₃₂, 79) with finite t and arbitrarily large s	[i]
78	No OA(32ⁿ⁺⁸⁰, s, S₃₂, 80) with finite t and arbitrarily large s	[i]
79	No OA(32ⁿ⁺⁸¹, s, S₃₂, 81) with finite t and arbitrarily large s	[i]
80	No OA(32ⁿ⁺⁸², s, S₃₂, 82) with finite t and arbitrarily large s	[i]
81	No OA(32ⁿ⁺⁸³, s, S₃₂, 83) with finite t and arbitrarily large s	[i]
82	No OA(32ⁿ⁺⁸⁴, s, S₃₂, 84) with finite t and arbitrarily large s	[i]
83	No OA(32ⁿ⁺⁸⁵, s, S₃₂, 85) with finite t and arbitrarily large s	[i]
84	No OA(32ⁿ⁺⁸⁶, s, S₃₂, 86) with finite t and arbitrarily large s	[i]
85	No OA(32ⁿ⁺⁸⁷, s, S₃₂, 87) with finite t and arbitrarily large s	[i]
86	No OA(32ⁿ⁺⁸⁸, s, S₃₂, 88) with finite t and arbitrarily large s	[i]
87	No OA(32ⁿ⁺⁸⁹, s, S₃₂, 89) with finite t and arbitrarily large s	[i]
88	No OA(32ⁿ⁺⁹⁰, s, S₃₂, 90) with finite t and arbitrarily large s	[i]
89	No OA(32ⁿ⁺⁹¹, s, S₃₂, 91) with finite t and arbitrarily large s	[i]
90	No OA(32ⁿ⁺⁹², s, S₃₂, 92) with finite t and arbitrarily large s	[i]
91	No OA(32ⁿ⁺⁹³, s, S₃₂, 93) with finite t and arbitrarily large s	[i]
92	No OA(32ⁿ⁺⁹⁴, s, S₃₂, 94) with finite t and arbitrarily large s	[i]
93	No OA(32ⁿ⁺⁹⁵, s, S₃₂, 95) with finite t and arbitrarily large s	[i]
94	No OA(32ⁿ⁺⁹⁶, s, S₃₂, 96) with finite t and arbitrarily large s	[i]
95	No OA(32ⁿ⁺⁹⁷, s, S₃₂, 97) with finite t and arbitrarily large s	[i]
96	No OA(32ⁿ⁺⁹⁸, s, S₃₂, 98) with finite t and arbitrarily large s	[i]
97	No OA(32ⁿ⁺⁹⁹, s, S₃₂, 99) with finite t and arbitrarily large s	[i]
98	No OA(32ⁿ⁺¹⁰⁰, s, S₃₂, 100) with finite t and arbitrarily large s	[i]
99	No OA(32ⁿ⁺¹⁰¹, s, S₃₂, 101) with finite t and arbitrarily large s	[i]
100	No OA(32ⁿ⁺¹⁰², s, S₃₂, 102) with finite t and arbitrarily large s	[i]
101	No OA(32ⁿ⁺¹⁰³, s, S₃₂, 103) with finite t and arbitrarily large s	[i]
102	No OA(32ⁿ⁺¹⁰⁴, s, S₃₂, 104) with finite t and arbitrarily large s	[i]
103	No OA(32ⁿ⁺¹⁰⁵, s, S₃₂, 105) with finite t and arbitrarily large s	[i]
104	No OA(32ⁿ⁺¹⁰⁶, s, S₃₂, 106) with finite t and arbitrarily large s	[i]
105	No OA(32ⁿ⁺¹⁰⁷, s, S₃₂, 107) with finite t and arbitrarily large s	[i]
106	No OA(32ⁿ⁺¹⁰⁸, s, S₃₂, 108) with finite t and arbitrarily large s	[i]
107	No OA(32ⁿ⁺¹⁰⁹, s, S₃₂, 109) with finite t and arbitrarily large s	[i]
108	No OA(32ⁿ⁺¹¹⁰, s, S₃₂, 110) with finite t and arbitrarily large s	[i]