MinT - Information on Result #1966940

Information on Result #1966940

There is no OA(25ⁿ⁺², s, S₂₅, 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(25ⁿ⁺³, s, S₂₅, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(25ⁿ⁺⁴, s, S₂₅, 4) with finite t and arbitrarily large s	[i]
3	No OA(25ⁿ⁺⁵, s, S₂₅, 5) with finite t and arbitrarily large s	[i]
4	No OA(25ⁿ⁺⁶, s, S₂₅, 6) with finite t and arbitrarily large s	[i]
5	No OA(25ⁿ⁺⁷, s, S₂₅, 7) with finite t and arbitrarily large s	[i]
6	No OA(25ⁿ⁺⁸, s, S₂₅, 8) with finite t and arbitrarily large s	[i]
7	No OA(25ⁿ⁺⁹, s, S₂₅, 9) with finite t and arbitrarily large s	[i]
8	No OA(25ⁿ⁺¹⁰, s, S₂₅, 10) with finite t and arbitrarily large s	[i]
9	No OA(25ⁿ⁺¹¹, s, S₂₅, 11) with finite t and arbitrarily large s	[i]
10	No OA(25ⁿ⁺¹², s, S₂₅, 12) with finite t and arbitrarily large s	[i]
11	No OA(25ⁿ⁺¹³, s, S₂₅, 13) with finite t and arbitrarily large s	[i]
12	No OA(25ⁿ⁺¹⁴, s, S₂₅, 14) with finite t and arbitrarily large s	[i]
13	No OA(25ⁿ⁺¹⁵, s, S₂₅, 15) with finite t and arbitrarily large s	[i]
14	No OA(25ⁿ⁺¹⁶, s, S₂₅, 16) with finite t and arbitrarily large s	[i]
15	No OA(25ⁿ⁺¹⁷, s, S₂₅, 17) with finite t and arbitrarily large s	[i]
16	No OA(25ⁿ⁺¹⁸, s, S₂₅, 18) with finite t and arbitrarily large s	[i]
17	No OA(25ⁿ⁺¹⁹, s, S₂₅, 19) with finite t and arbitrarily large s	[i]
18	No OA(25ⁿ⁺²⁰, s, S₂₅, 20) with finite t and arbitrarily large s	[i]
19	No OA(25ⁿ⁺²¹, s, S₂₅, 21) with finite t and arbitrarily large s	[i]
20	No OA(25ⁿ⁺²², s, S₂₅, 22) with finite t and arbitrarily large s	[i]
21	No OA(25ⁿ⁺²³, s, S₂₅, 23) with finite t and arbitrarily large s	[i]
22	No OA(25ⁿ⁺²⁴, s, S₂₅, 24) with finite t and arbitrarily large s	[i]
23	No OA(25ⁿ⁺²⁵, s, S₂₅, 25) with finite t and arbitrarily large s	[i]
24	No OA(25ⁿ⁺²⁶, s, S₂₅, 26) with finite t and arbitrarily large s	[i]
25	No OA(25ⁿ⁺²⁷, s, S₂₅, 27) with finite t and arbitrarily large s	[i]
26	No OA(25ⁿ⁺²⁸, s, S₂₅, 28) with finite t and arbitrarily large s	[i]
27	No OA(25ⁿ⁺²⁹, s, S₂₅, 29) with finite t and arbitrarily large s	[i]
28	No OA(25ⁿ⁺³⁰, s, S₂₅, 30) with finite t and arbitrarily large s	[i]
29	No OA(25ⁿ⁺³¹, s, S₂₅, 31) with finite t and arbitrarily large s	[i]
30	No OA(25ⁿ⁺³², s, S₂₅, 32) with finite t and arbitrarily large s	[i]
31	No OA(25ⁿ⁺³³, s, S₂₅, 33) with finite t and arbitrarily large s	[i]
32	No OA(25ⁿ⁺³⁴, s, S₂₅, 34) with finite t and arbitrarily large s	[i]
33	No OA(25ⁿ⁺³⁵, s, S₂₅, 35) with finite t and arbitrarily large s	[i]
34	No OA(25ⁿ⁺³⁶, s, S₂₅, 36) with finite t and arbitrarily large s	[i]
35	No OA(25ⁿ⁺³⁷, s, S₂₅, 37) with finite t and arbitrarily large s	[i]
36	No OA(25ⁿ⁺³⁸, s, S₂₅, 38) with finite t and arbitrarily large s	[i]
37	No OA(25ⁿ⁺³⁹, s, S₂₅, 39) with finite t and arbitrarily large s	[i]
38	No OA(25ⁿ⁺⁴⁰, s, S₂₅, 40) with finite t and arbitrarily large s	[i]
39	No OA(25ⁿ⁺⁴¹, s, S₂₅, 41) with finite t and arbitrarily large s	[i]
40	No OA(25ⁿ⁺⁴², s, S₂₅, 42) with finite t and arbitrarily large s	[i]
41	No OA(25ⁿ⁺⁴³, s, S₂₅, 43) with finite t and arbitrarily large s	[i]
42	No OA(25ⁿ⁺⁴⁴, s, S₂₅, 44) with finite t and arbitrarily large s	[i]
43	No OA(25ⁿ⁺⁴⁵, s, S₂₅, 45) with finite t and arbitrarily large s	[i]
44	No OA(25ⁿ⁺⁴⁶, s, S₂₅, 46) with finite t and arbitrarily large s	[i]
45	No OA(25ⁿ⁺⁴⁷, s, S₂₅, 47) with finite t and arbitrarily large s	[i]
46	No OA(25ⁿ⁺⁴⁸, s, S₂₅, 48) with finite t and arbitrarily large s	[i]
47	No OA(25ⁿ⁺⁴⁹, s, S₂₅, 49) with finite t and arbitrarily large s	[i]
48	No OA(25ⁿ⁺⁵⁰, s, S₂₅, 50) with finite t and arbitrarily large s	[i]
49	No OA(25ⁿ⁺⁵¹, s, S₂₅, 51) with finite t and arbitrarily large s	[i]
50	No OA(25ⁿ⁺⁵², s, S₂₅, 52) with finite t and arbitrarily large s	[i]
51	No OA(25ⁿ⁺⁵³, s, S₂₅, 53) with finite t and arbitrarily large s	[i]
52	No OA(25ⁿ⁺⁵⁴, s, S₂₅, 54) with finite t and arbitrarily large s	[i]
53	No OA(25ⁿ⁺⁵⁵, s, S₂₅, 55) with finite t and arbitrarily large s	[i]
54	No OA(25ⁿ⁺⁵⁶, s, S₂₅, 56) with finite t and arbitrarily large s	[i]
55	No OA(25ⁿ⁺⁵⁷, s, S₂₅, 57) with finite t and arbitrarily large s	[i]
56	No OA(25ⁿ⁺⁵⁸, s, S₂₅, 58) with finite t and arbitrarily large s	[i]
57	No OA(25ⁿ⁺⁵⁹, s, S₂₅, 59) with finite t and arbitrarily large s	[i]
58	No OA(25ⁿ⁺⁶⁰, s, S₂₅, 60) with finite t and arbitrarily large s	[i]
59	No OA(25ⁿ⁺⁶¹, s, S₂₅, 61) with finite t and arbitrarily large s	[i]
60	No OA(25ⁿ⁺⁶², s, S₂₅, 62) with finite t and arbitrarily large s	[i]
61	No OA(25ⁿ⁺⁶³, s, S₂₅, 63) with finite t and arbitrarily large s	[i]
62	No OA(25ⁿ⁺⁶⁴, s, S₂₅, 64) with finite t and arbitrarily large s	[i]
63	No OA(25ⁿ⁺⁶⁵, s, S₂₅, 65) with finite t and arbitrarily large s	[i]
64	No OA(25ⁿ⁺⁶⁶, s, S₂₅, 66) with finite t and arbitrarily large s	[i]
65	No OA(25ⁿ⁺⁶⁷, s, S₂₅, 67) with finite t and arbitrarily large s	[i]
66	No OA(25ⁿ⁺⁶⁸, s, S₂₅, 68) with finite t and arbitrarily large s	[i]
67	No OA(25ⁿ⁺⁶⁹, s, S₂₅, 69) with finite t and arbitrarily large s	[i]
68	No OA(25ⁿ⁺⁷⁰, s, S₂₅, 70) with finite t and arbitrarily large s	[i]
69	No OA(25ⁿ⁺⁷¹, s, S₂₅, 71) with finite t and arbitrarily large s	[i]
70	No OA(25ⁿ⁺⁷², s, S₂₅, 72) with finite t and arbitrarily large s	[i]
71	No OA(25ⁿ⁺⁷³, s, S₂₅, 73) with finite t and arbitrarily large s	[i]
72	No OA(25ⁿ⁺⁷⁴, s, S₂₅, 74) with finite t and arbitrarily large s	[i]
73	No OA(25ⁿ⁺⁷⁵, s, S₂₅, 75) with finite t and arbitrarily large s	[i]
74	No OA(25ⁿ⁺⁷⁶, s, S₂₅, 76) with finite t and arbitrarily large s	[i]
75	No OA(25ⁿ⁺⁷⁷, s, S₂₅, 77) with finite t and arbitrarily large s	[i]
76	No OA(25ⁿ⁺⁷⁸, s, S₂₅, 78) with finite t and arbitrarily large s	[i]
77	No OA(25ⁿ⁺⁷⁹, s, S₂₅, 79) with finite t and arbitrarily large s	[i]
78	No OA(25ⁿ⁺⁸⁰, s, S₂₅, 80) with finite t and arbitrarily large s	[i]
79	No OA(25ⁿ⁺⁸¹, s, S₂₅, 81) with finite t and arbitrarily large s	[i]
80	No OA(25ⁿ⁺⁸², s, S₂₅, 82) with finite t and arbitrarily large s	[i]
81	No OA(25ⁿ⁺⁸³, s, S₂₅, 83) with finite t and arbitrarily large s	[i]
82	No OA(25ⁿ⁺⁸⁴, s, S₂₅, 84) with finite t and arbitrarily large s	[i]
83	No OA(25ⁿ⁺⁸⁵, s, S₂₅, 85) with finite t and arbitrarily large s	[i]
84	No OA(25ⁿ⁺⁸⁶, s, S₂₅, 86) with finite t and arbitrarily large s	[i]
85	No OA(25ⁿ⁺⁸⁷, s, S₂₅, 87) with finite t and arbitrarily large s	[i]
86	No OA(25ⁿ⁺⁸⁸, s, S₂₅, 88) with finite t and arbitrarily large s	[i]
87	No OA(25ⁿ⁺⁸⁹, s, S₂₅, 89) with finite t and arbitrarily large s	[i]
88	No OA(25ⁿ⁺⁹⁰, s, S₂₅, 90) with finite t and arbitrarily large s	[i]
89	No OA(25ⁿ⁺⁹¹, s, S₂₅, 91) with finite t and arbitrarily large s	[i]
90	No OA(25ⁿ⁺⁹², s, S₂₅, 92) with finite t and arbitrarily large s	[i]
91	No OA(25ⁿ⁺⁹³, s, S₂₅, 93) with finite t and arbitrarily large s	[i]
92	No OA(25ⁿ⁺⁹⁴, s, S₂₅, 94) with finite t and arbitrarily large s	[i]
93	No OA(25ⁿ⁺⁹⁵, s, S₂₅, 95) with finite t and arbitrarily large s	[i]
94	No OA(25ⁿ⁺⁹⁶, s, S₂₅, 96) with finite t and arbitrarily large s	[i]
95	No OA(25ⁿ⁺⁹⁷, s, S₂₅, 97) with finite t and arbitrarily large s	[i]
96	No OA(25ⁿ⁺⁹⁸, s, S₂₅, 98) with finite t and arbitrarily large s	[i]
97	No OA(25ⁿ⁺⁹⁹, s, S₂₅, 99) with finite t and arbitrarily large s	[i]
98	No OA(25ⁿ⁺¹⁰⁰, s, S₂₅, 100) with finite t and arbitrarily large s	[i]
99	No OA(25ⁿ⁺¹⁰¹, s, S₂₅, 101) with finite t and arbitrarily large s	[i]
100	No OA(25ⁿ⁺¹⁰², s, S₂₅, 102) with finite t and arbitrarily large s	[i]
101	No OA(25ⁿ⁺¹⁰³, s, S₂₅, 103) with finite t and arbitrarily large s	[i]
102	No OA(25ⁿ⁺¹⁰⁴, s, S₂₅, 104) with finite t and arbitrarily large s	[i]
103	No OA(25ⁿ⁺¹⁰⁵, s, S₂₅, 105) with finite t and arbitrarily large s	[i]
104	No OA(25ⁿ⁺¹⁰⁶, s, S₂₅, 106) with finite t and arbitrarily large s	[i]
105	No OA(25ⁿ⁺¹⁰⁷, s, S₂₅, 107) with finite t and arbitrarily large s	[i]
106	No OA(25ⁿ⁺¹⁰⁸, s, S₂₅, 108) with finite t and arbitrarily large s	[i]
107	No OA(25ⁿ⁺¹⁰⁹, s, S₂₅, 109) with finite t and arbitrarily large s	[i]
108	No OA(25ⁿ⁺¹¹⁰, s, S₂₅, 110) with finite t and arbitrarily large s	[i]