MinT - Information on Result #1966953

Information on Result #1966953

There is no OA(64ⁿ⁺², s, S₆₄, 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(64ⁿ⁺³, s, S₆₄, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(64ⁿ⁺⁴, s, S₆₄, 4) with finite t and arbitrarily large s	[i]
3	No OA(64ⁿ⁺⁵, s, S₆₄, 5) with finite t and arbitrarily large s	[i]
4	No OA(64ⁿ⁺⁶, s, S₆₄, 6) with finite t and arbitrarily large s	[i]
5	No OA(64ⁿ⁺⁷, s, S₆₄, 7) with finite t and arbitrarily large s	[i]
6	No OA(64ⁿ⁺⁸, s, S₆₄, 8) with finite t and arbitrarily large s	[i]
7	No OA(64ⁿ⁺⁹, s, S₆₄, 9) with finite t and arbitrarily large s	[i]
8	No OA(64ⁿ⁺¹⁰, s, S₆₄, 10) with finite t and arbitrarily large s	[i]
9	No OA(64ⁿ⁺¹¹, s, S₆₄, 11) with finite t and arbitrarily large s	[i]
10	No OA(64ⁿ⁺¹², s, S₆₄, 12) with finite t and arbitrarily large s	[i]
11	No OA(64ⁿ⁺¹³, s, S₆₄, 13) with finite t and arbitrarily large s	[i]
12	No OA(64ⁿ⁺¹⁴, s, S₆₄, 14) with finite t and arbitrarily large s	[i]
13	No OA(64ⁿ⁺¹⁵, s, S₆₄, 15) with finite t and arbitrarily large s	[i]
14	No OA(64ⁿ⁺¹⁶, s, S₆₄, 16) with finite t and arbitrarily large s	[i]
15	No OA(64ⁿ⁺¹⁷, s, S₆₄, 17) with finite t and arbitrarily large s	[i]
16	No OA(64ⁿ⁺¹⁸, s, S₆₄, 18) with finite t and arbitrarily large s	[i]
17	No OA(64ⁿ⁺¹⁹, s, S₆₄, 19) with finite t and arbitrarily large s	[i]
18	No OA(64ⁿ⁺²⁰, s, S₆₄, 20) with finite t and arbitrarily large s	[i]
19	No OA(64ⁿ⁺²¹, s, S₆₄, 21) with finite t and arbitrarily large s	[i]
20	No OA(64ⁿ⁺²², s, S₆₄, 22) with finite t and arbitrarily large s	[i]
21	No OA(64ⁿ⁺²³, s, S₆₄, 23) with finite t and arbitrarily large s	[i]
22	No OA(64ⁿ⁺²⁴, s, S₆₄, 24) with finite t and arbitrarily large s	[i]
23	No OA(64ⁿ⁺²⁵, s, S₆₄, 25) with finite t and arbitrarily large s	[i]
24	No OA(64ⁿ⁺²⁶, s, S₆₄, 26) with finite t and arbitrarily large s	[i]
25	No OA(64ⁿ⁺²⁷, s, S₆₄, 27) with finite t and arbitrarily large s	[i]
26	No OA(64ⁿ⁺²⁸, s, S₆₄, 28) with finite t and arbitrarily large s	[i]
27	No OA(64ⁿ⁺²⁹, s, S₆₄, 29) with finite t and arbitrarily large s	[i]
28	No OA(64ⁿ⁺³⁰, s, S₆₄, 30) with finite t and arbitrarily large s	[i]
29	No OA(64ⁿ⁺³¹, s, S₆₄, 31) with finite t and arbitrarily large s	[i]
30	No OA(64ⁿ⁺³², s, S₆₄, 32) with finite t and arbitrarily large s	[i]
31	No OA(64ⁿ⁺³³, s, S₆₄, 33) with finite t and arbitrarily large s	[i]
32	No OA(64ⁿ⁺³⁴, s, S₆₄, 34) with finite t and arbitrarily large s	[i]
33	No OA(64ⁿ⁺³⁵, s, S₆₄, 35) with finite t and arbitrarily large s	[i]
34	No OA(64ⁿ⁺³⁶, s, S₆₄, 36) with finite t and arbitrarily large s	[i]
35	No OA(64ⁿ⁺³⁷, s, S₆₄, 37) with finite t and arbitrarily large s	[i]
36	No OA(64ⁿ⁺³⁸, s, S₆₄, 38) with finite t and arbitrarily large s	[i]
37	No OA(64ⁿ⁺³⁹, s, S₆₄, 39) with finite t and arbitrarily large s	[i]
38	No OA(64ⁿ⁺⁴⁰, s, S₆₄, 40) with finite t and arbitrarily large s	[i]
39	No OA(64ⁿ⁺⁴¹, s, S₆₄, 41) with finite t and arbitrarily large s	[i]
40	No OA(64ⁿ⁺⁴², s, S₆₄, 42) with finite t and arbitrarily large s	[i]
41	No OA(64ⁿ⁺⁴³, s, S₆₄, 43) with finite t and arbitrarily large s	[i]
42	No OA(64ⁿ⁺⁴⁴, s, S₆₄, 44) with finite t and arbitrarily large s	[i]
43	No OA(64ⁿ⁺⁴⁵, s, S₆₄, 45) with finite t and arbitrarily large s	[i]
44	No OA(64ⁿ⁺⁴⁶, s, S₆₄, 46) with finite t and arbitrarily large s	[i]
45	No OA(64ⁿ⁺⁴⁷, s, S₆₄, 47) with finite t and arbitrarily large s	[i]
46	No OA(64ⁿ⁺⁴⁸, s, S₆₄, 48) with finite t and arbitrarily large s	[i]
47	No OA(64ⁿ⁺⁴⁹, s, S₆₄, 49) with finite t and arbitrarily large s	[i]
48	No OA(64ⁿ⁺⁵⁰, s, S₆₄, 50) with finite t and arbitrarily large s	[i]
49	No OA(64ⁿ⁺⁵¹, s, S₆₄, 51) with finite t and arbitrarily large s	[i]
50	No OA(64ⁿ⁺⁵², s, S₆₄, 52) with finite t and arbitrarily large s	[i]
51	No OA(64ⁿ⁺⁵³, s, S₆₄, 53) with finite t and arbitrarily large s	[i]
52	No OA(64ⁿ⁺⁵⁴, s, S₆₄, 54) with finite t and arbitrarily large s	[i]
53	No OA(64ⁿ⁺⁵⁵, s, S₆₄, 55) with finite t and arbitrarily large s	[i]
54	No OA(64ⁿ⁺⁵⁶, s, S₆₄, 56) with finite t and arbitrarily large s	[i]
55	No OA(64ⁿ⁺⁵⁷, s, S₆₄, 57) with finite t and arbitrarily large s	[i]
56	No OA(64ⁿ⁺⁵⁸, s, S₆₄, 58) with finite t and arbitrarily large s	[i]
57	No OA(64ⁿ⁺⁵⁹, s, S₆₄, 59) with finite t and arbitrarily large s	[i]
58	No OA(64ⁿ⁺⁶⁰, s, S₆₄, 60) with finite t and arbitrarily large s	[i]
59	No OA(64ⁿ⁺⁶¹, s, S₆₄, 61) with finite t and arbitrarily large s	[i]
60	No OA(64ⁿ⁺⁶², s, S₆₄, 62) with finite t and arbitrarily large s	[i]
61	No OA(64ⁿ⁺⁶³, s, S₆₄, 63) with finite t and arbitrarily large s	[i]
62	No OA(64ⁿ⁺⁶⁴, s, S₆₄, 64) with finite t and arbitrarily large s	[i]
63	No OA(64ⁿ⁺⁶⁵, s, S₆₄, 65) with finite t and arbitrarily large s	[i]
64	No OA(64ⁿ⁺⁶⁶, s, S₆₄, 66) with finite t and arbitrarily large s	[i]
65	No OA(64ⁿ⁺⁶⁷, s, S₆₄, 67) with finite t and arbitrarily large s	[i]
66	No OA(64ⁿ⁺⁶⁸, s, S₆₄, 68) with finite t and arbitrarily large s	[i]
67	No OA(64ⁿ⁺⁶⁹, s, S₆₄, 69) with finite t and arbitrarily large s	[i]
68	No OA(64ⁿ⁺⁷⁰, s, S₆₄, 70) with finite t and arbitrarily large s	[i]
69	No OA(64ⁿ⁺⁷¹, s, S₆₄, 71) with finite t and arbitrarily large s	[i]
70	No OA(64ⁿ⁺⁷², s, S₆₄, 72) with finite t and arbitrarily large s	[i]
71	No OA(64ⁿ⁺⁷³, s, S₆₄, 73) with finite t and arbitrarily large s	[i]
72	No OA(64ⁿ⁺⁷⁴, s, S₆₄, 74) with finite t and arbitrarily large s	[i]
73	No OA(64ⁿ⁺⁷⁵, s, S₆₄, 75) with finite t and arbitrarily large s	[i]
74	No OA(64ⁿ⁺⁷⁶, s, S₆₄, 76) with finite t and arbitrarily large s	[i]
75	No OA(64ⁿ⁺⁷⁷, s, S₆₄, 77) with finite t and arbitrarily large s	[i]
76	No OA(64ⁿ⁺⁷⁸, s, S₆₄, 78) with finite t and arbitrarily large s	[i]
77	No OA(64ⁿ⁺⁷⁹, s, S₆₄, 79) with finite t and arbitrarily large s	[i]
78	No OA(64ⁿ⁺⁸⁰, s, S₆₄, 80) with finite t and arbitrarily large s	[i]
79	No OA(64ⁿ⁺⁸¹, s, S₆₄, 81) with finite t and arbitrarily large s	[i]
80	No OA(64ⁿ⁺⁸², s, S₆₄, 82) with finite t and arbitrarily large s	[i]
81	No OA(64ⁿ⁺⁸³, s, S₆₄, 83) with finite t and arbitrarily large s	[i]
82	No OA(64ⁿ⁺⁸⁴, s, S₆₄, 84) with finite t and arbitrarily large s	[i]
83	No OA(64ⁿ⁺⁸⁵, s, S₆₄, 85) with finite t and arbitrarily large s	[i]
84	No OA(64ⁿ⁺⁸⁶, s, S₆₄, 86) with finite t and arbitrarily large s	[i]
85	No OA(64ⁿ⁺⁸⁷, s, S₆₄, 87) with finite t and arbitrarily large s	[i]
86	No OA(64ⁿ⁺⁸⁸, s, S₆₄, 88) with finite t and arbitrarily large s	[i]
87	No OA(64ⁿ⁺⁸⁹, s, S₆₄, 89) with finite t and arbitrarily large s	[i]
88	No OA(64ⁿ⁺⁹⁰, s, S₆₄, 90) with finite t and arbitrarily large s	[i]
89	No OA(64ⁿ⁺⁹¹, s, S₆₄, 91) with finite t and arbitrarily large s	[i]