MinT - Information on Result #1966925

Information on Result #1966925

There is no OA(7ⁿ⁺², s, S₇, 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(7ⁿ⁺³, s, S₇, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(7ⁿ⁺⁴, s, S₇, 4) with finite t and arbitrarily large s	[i]
3	No OA(7ⁿ⁺⁵, s, S₇, 5) with finite t and arbitrarily large s	[i]
4	No OA(7ⁿ⁺⁶, s, S₇, 6) with finite t and arbitrarily large s	[i]
5	No OA(7ⁿ⁺⁷, s, S₇, 7) with finite t and arbitrarily large s	[i]
6	No OA(7ⁿ⁺⁸, s, S₇, 8) with finite t and arbitrarily large s	[i]
7	No OA(7ⁿ⁺⁹, s, S₇, 9) with finite t and arbitrarily large s	[i]
8	No OA(7ⁿ⁺¹⁰, s, S₇, 10) with finite t and arbitrarily large s	[i]
9	No OA(7ⁿ⁺¹¹, s, S₇, 11) with finite t and arbitrarily large s	[i]
10	No OA(7ⁿ⁺¹², s, S₇, 12) with finite t and arbitrarily large s	[i]
11	No OA(7ⁿ⁺¹³, s, S₇, 13) with finite t and arbitrarily large s	[i]
12	No OA(7ⁿ⁺¹⁴, s, S₇, 14) with finite t and arbitrarily large s	[i]
13	No OA(7ⁿ⁺¹⁵, s, S₇, 15) with finite t and arbitrarily large s	[i]
14	No OA(7ⁿ⁺¹⁶, s, S₇, 16) with finite t and arbitrarily large s	[i]
15	No OA(7ⁿ⁺¹⁷, s, S₇, 17) with finite t and arbitrarily large s	[i]
16	No OA(7ⁿ⁺¹⁸, s, S₇, 18) with finite t and arbitrarily large s	[i]
17	No OA(7ⁿ⁺¹⁹, s, S₇, 19) with finite t and arbitrarily large s	[i]
18	No OA(7ⁿ⁺²⁰, s, S₇, 20) with finite t and arbitrarily large s	[i]
19	No OA(7ⁿ⁺²¹, s, S₇, 21) with finite t and arbitrarily large s	[i]
20	No OA(7ⁿ⁺²², s, S₇, 22) with finite t and arbitrarily large s	[i]
21	No OA(7ⁿ⁺²³, s, S₇, 23) with finite t and arbitrarily large s	[i]
22	No OA(7ⁿ⁺²⁴, s, S₇, 24) with finite t and arbitrarily large s	[i]
23	No OA(7ⁿ⁺²⁵, s, S₇, 25) with finite t and arbitrarily large s	[i]
24	No OA(7ⁿ⁺²⁶, s, S₇, 26) with finite t and arbitrarily large s	[i]
25	No OA(7ⁿ⁺²⁷, s, S₇, 27) with finite t and arbitrarily large s	[i]
26	No OA(7ⁿ⁺²⁸, s, S₇, 28) with finite t and arbitrarily large s	[i]
27	No OA(7ⁿ⁺²⁹, s, S₇, 29) with finite t and arbitrarily large s	[i]
28	No OA(7ⁿ⁺³⁰, s, S₇, 30) with finite t and arbitrarily large s	[i]
29	No OA(7ⁿ⁺³¹, s, S₇, 31) with finite t and arbitrarily large s	[i]
30	No OA(7ⁿ⁺³², s, S₇, 32) with finite t and arbitrarily large s	[i]
31	No OA(7ⁿ⁺³³, s, S₇, 33) with finite t and arbitrarily large s	[i]
32	No OA(7ⁿ⁺³⁴, s, S₇, 34) with finite t and arbitrarily large s	[i]
33	No OA(7ⁿ⁺³⁵, s, S₇, 35) with finite t and arbitrarily large s	[i]
34	No OA(7ⁿ⁺³⁶, s, S₇, 36) with finite t and arbitrarily large s	[i]
35	No OA(7ⁿ⁺³⁷, s, S₇, 37) with finite t and arbitrarily large s	[i]
36	No OA(7ⁿ⁺³⁸, s, S₇, 38) with finite t and arbitrarily large s	[i]
37	No OA(7ⁿ⁺³⁹, s, S₇, 39) with finite t and arbitrarily large s	[i]
38	No OA(7ⁿ⁺⁴⁰, s, S₇, 40) with finite t and arbitrarily large s	[i]
39	No OA(7ⁿ⁺⁴¹, s, S₇, 41) with finite t and arbitrarily large s	[i]
40	No OA(7ⁿ⁺⁴², s, S₇, 42) with finite t and arbitrarily large s	[i]
41	No OA(7ⁿ⁺⁴³, s, S₇, 43) with finite t and arbitrarily large s	[i]
42	No OA(7ⁿ⁺⁴⁴, s, S₇, 44) with finite t and arbitrarily large s	[i]
43	No OA(7ⁿ⁺⁴⁵, s, S₇, 45) with finite t and arbitrarily large s	[i]
44	No OA(7ⁿ⁺⁴⁶, s, S₇, 46) with finite t and arbitrarily large s	[i]
45	No OA(7ⁿ⁺⁴⁷, s, S₇, 47) with finite t and arbitrarily large s	[i]
46	No OA(7ⁿ⁺⁴⁸, s, S₇, 48) with finite t and arbitrarily large s	[i]
47	No OA(7ⁿ⁺⁴⁹, s, S₇, 49) with finite t and arbitrarily large s	[i]
48	No OA(7ⁿ⁺⁵⁰, s, S₇, 50) with finite t and arbitrarily large s	[i]
49	No OA(7ⁿ⁺⁵¹, s, S₇, 51) with finite t and arbitrarily large s	[i]
50	No OA(7ⁿ⁺⁵², s, S₇, 52) with finite t and arbitrarily large s	[i]
51	No OA(7ⁿ⁺⁵³, s, S₇, 53) with finite t and arbitrarily large s	[i]
52	No OA(7ⁿ⁺⁵⁴, s, S₇, 54) with finite t and arbitrarily large s	[i]
53	No OA(7ⁿ⁺⁵⁵, s, S₇, 55) with finite t and arbitrarily large s	[i]
54	No OA(7ⁿ⁺⁵⁶, s, S₇, 56) with finite t and arbitrarily large s	[i]
55	No OA(7ⁿ⁺⁵⁷, s, S₇, 57) with finite t and arbitrarily large s	[i]
56	No OA(7ⁿ⁺⁵⁸, s, S₇, 58) with finite t and arbitrarily large s	[i]
57	No OA(7ⁿ⁺⁵⁹, s, S₇, 59) with finite t and arbitrarily large s	[i]
58	No OA(7ⁿ⁺⁶⁰, s, S₇, 60) with finite t and arbitrarily large s	[i]
59	No OA(7ⁿ⁺⁶¹, s, S₇, 61) with finite t and arbitrarily large s	[i]
60	No OA(7ⁿ⁺⁶², s, S₇, 62) with finite t and arbitrarily large s	[i]
61	No OA(7ⁿ⁺⁶³, s, S₇, 63) with finite t and arbitrarily large s	[i]
62	No OA(7ⁿ⁺⁶⁴, s, S₇, 64) with finite t and arbitrarily large s	[i]
63	No OA(7ⁿ⁺⁶⁵, s, S₇, 65) with finite t and arbitrarily large s	[i]
64	No OA(7ⁿ⁺⁶⁶, s, S₇, 66) with finite t and arbitrarily large s	[i]
65	No OA(7ⁿ⁺⁶⁷, s, S₇, 67) with finite t and arbitrarily large s	[i]
66	No OA(7ⁿ⁺⁶⁸, s, S₇, 68) with finite t and arbitrarily large s	[i]
67	No OA(7ⁿ⁺⁶⁹, s, S₇, 69) with finite t and arbitrarily large s	[i]
68	No OA(7ⁿ⁺⁷⁰, s, S₇, 70) with finite t and arbitrarily large s	[i]
69	No OA(7ⁿ⁺⁷¹, s, S₇, 71) with finite t and arbitrarily large s	[i]
70	No OA(7ⁿ⁺⁷², s, S₇, 72) with finite t and arbitrarily large s	[i]
71	No OA(7ⁿ⁺⁷³, s, S₇, 73) with finite t and arbitrarily large s	[i]
72	No OA(7ⁿ⁺⁷⁴, s, S₇, 74) with finite t and arbitrarily large s	[i]
73	No OA(7ⁿ⁺⁷⁵, s, S₇, 75) with finite t and arbitrarily large s	[i]
74	No OA(7ⁿ⁺⁷⁶, s, S₇, 76) with finite t and arbitrarily large s	[i]
75	No OA(7ⁿ⁺⁷⁷, s, S₇, 77) with finite t and arbitrarily large s	[i]
76	No OA(7ⁿ⁺⁷⁸, s, S₇, 78) with finite t and arbitrarily large s	[i]
77	No OA(7ⁿ⁺⁷⁹, s, S₇, 79) with finite t and arbitrarily large s	[i]
78	No OA(7ⁿ⁺⁸⁰, s, S₇, 80) with finite t and arbitrarily large s	[i]
79	No OA(7ⁿ⁺⁸¹, s, S₇, 81) with finite t and arbitrarily large s	[i]
80	No OA(7ⁿ⁺⁸², s, S₇, 82) with finite t and arbitrarily large s	[i]
81	No OA(7ⁿ⁺⁸³, s, S₇, 83) with finite t and arbitrarily large s	[i]
82	No OA(7ⁿ⁺⁸⁴, s, S₇, 84) with finite t and arbitrarily large s	[i]
83	No OA(7ⁿ⁺⁸⁵, s, S₇, 85) with finite t and arbitrarily large s	[i]
84	No OA(7ⁿ⁺⁸⁶, s, S₇, 86) with finite t and arbitrarily large s	[i]
85	No OA(7ⁿ⁺⁸⁷, s, S₇, 87) with finite t and arbitrarily large s	[i]
86	No OA(7ⁿ⁺⁸⁸, s, S₇, 88) with finite t and arbitrarily large s	[i]
87	No OA(7ⁿ⁺⁸⁹, s, S₇, 89) with finite t and arbitrarily large s	[i]
88	No OA(7ⁿ⁺⁹⁰, s, S₇, 90) with finite t and arbitrarily large s	[i]
89	No OA(7ⁿ⁺⁹¹, s, S₇, 91) with finite t and arbitrarily large s	[i]
90	No OA(7ⁿ⁺⁹², s, S₇, 92) with finite t and arbitrarily large s	[i]
91	No OA(7ⁿ⁺⁹³, s, S₇, 93) with finite t and arbitrarily large s	[i]
92	No OA(7ⁿ⁺⁹⁴, s, S₇, 94) with finite t and arbitrarily large s	[i]
93	No OA(7ⁿ⁺⁹⁵, s, S₇, 95) with finite t and arbitrarily large s	[i]
94	No OA(7ⁿ⁺⁹⁶, s, S₇, 96) with finite t and arbitrarily large s	[i]
95	No OA(7ⁿ⁺⁹⁷, s, S₇, 97) with finite t and arbitrarily large s	[i]
96	No OA(7ⁿ⁺⁹⁸, s, S₇, 98) with finite t and arbitrarily large s	[i]
97	No OA(7ⁿ⁺⁹⁹, s, S₇, 99) with finite t and arbitrarily large s	[i]
98	No OA(7ⁿ⁺¹⁰⁰, s, S₇, 100) with finite t and arbitrarily large s	[i]
99	No OA(7ⁿ⁺¹⁰¹, s, S₇, 101) with finite t and arbitrarily large s	[i]
100	No OA(7ⁿ⁺¹⁰², s, S₇, 102) with finite t and arbitrarily large s	[i]
101	No OA(7ⁿ⁺¹⁰³, s, S₇, 103) with finite t and arbitrarily large s	[i]
102	No OA(7ⁿ⁺¹⁰⁴, s, S₇, 104) with finite t and arbitrarily large s	[i]
103	No OA(7ⁿ⁺¹⁰⁵, s, S₇, 105) with finite t and arbitrarily large s	[i]
104	No OA(7ⁿ⁺¹⁰⁶, s, S₇, 106) with finite t and arbitrarily large s	[i]
105	No OA(7ⁿ⁺¹⁰⁷, s, S₇, 107) with finite t and arbitrarily large s	[i]
106	No OA(7ⁿ⁺¹⁰⁸, s, S₇, 108) with finite t and arbitrarily large s	[i]
107	No OA(7ⁿ⁺¹⁰⁹, s, S₇, 109) with finite t and arbitrarily large s	[i]
108	No OA(7ⁿ⁺¹¹⁰, s, S₇, 110) with finite t and arbitrarily large s	[i]