MinT - Information on Result #1966949

Information on Result #1966949

There is no OA(49ⁿ⁺², s, S₄₉, 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(49ⁿ⁺³, s, S₄₉, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(49ⁿ⁺⁴, s, S₄₉, 4) with finite t and arbitrarily large s	[i]
3	No OA(49ⁿ⁺⁵, s, S₄₉, 5) with finite t and arbitrarily large s	[i]
4	No OA(49ⁿ⁺⁶, s, S₄₉, 6) with finite t and arbitrarily large s	[i]
5	No OA(49ⁿ⁺⁷, s, S₄₉, 7) with finite t and arbitrarily large s	[i]
6	No OA(49ⁿ⁺⁸, s, S₄₉, 8) with finite t and arbitrarily large s	[i]
7	No OA(49ⁿ⁺⁹, s, S₄₉, 9) with finite t and arbitrarily large s	[i]
8	No OA(49ⁿ⁺¹⁰, s, S₄₉, 10) with finite t and arbitrarily large s	[i]
9	No OA(49ⁿ⁺¹¹, s, S₄₉, 11) with finite t and arbitrarily large s	[i]
10	No OA(49ⁿ⁺¹², s, S₄₉, 12) with finite t and arbitrarily large s	[i]
11	No OA(49ⁿ⁺¹³, s, S₄₉, 13) with finite t and arbitrarily large s	[i]
12	No OA(49ⁿ⁺¹⁴, s, S₄₉, 14) with finite t and arbitrarily large s	[i]
13	No OA(49ⁿ⁺¹⁵, s, S₄₉, 15) with finite t and arbitrarily large s	[i]
14	No OA(49ⁿ⁺¹⁶, s, S₄₉, 16) with finite t and arbitrarily large s	[i]
15	No OA(49ⁿ⁺¹⁷, s, S₄₉, 17) with finite t and arbitrarily large s	[i]
16	No OA(49ⁿ⁺¹⁸, s, S₄₉, 18) with finite t and arbitrarily large s	[i]
17	No OA(49ⁿ⁺¹⁹, s, S₄₉, 19) with finite t and arbitrarily large s	[i]
18	No OA(49ⁿ⁺²⁰, s, S₄₉, 20) with finite t and arbitrarily large s	[i]
19	No OA(49ⁿ⁺²¹, s, S₄₉, 21) with finite t and arbitrarily large s	[i]
20	No OA(49ⁿ⁺²², s, S₄₉, 22) with finite t and arbitrarily large s	[i]
21	No OA(49ⁿ⁺²³, s, S₄₉, 23) with finite t and arbitrarily large s	[i]
22	No OA(49ⁿ⁺²⁴, s, S₄₉, 24) with finite t and arbitrarily large s	[i]
23	No OA(49ⁿ⁺²⁵, s, S₄₉, 25) with finite t and arbitrarily large s	[i]
24	No OA(49ⁿ⁺²⁶, s, S₄₉, 26) with finite t and arbitrarily large s	[i]
25	No OA(49ⁿ⁺²⁷, s, S₄₉, 27) with finite t and arbitrarily large s	[i]
26	No OA(49ⁿ⁺²⁸, s, S₄₉, 28) with finite t and arbitrarily large s	[i]
27	No OA(49ⁿ⁺²⁹, s, S₄₉, 29) with finite t and arbitrarily large s	[i]
28	No OA(49ⁿ⁺³⁰, s, S₄₉, 30) with finite t and arbitrarily large s	[i]
29	No OA(49ⁿ⁺³¹, s, S₄₉, 31) with finite t and arbitrarily large s	[i]
30	No OA(49ⁿ⁺³², s, S₄₉, 32) with finite t and arbitrarily large s	[i]
31	No OA(49ⁿ⁺³³, s, S₄₉, 33) with finite t and arbitrarily large s	[i]
32	No OA(49ⁿ⁺³⁴, s, S₄₉, 34) with finite t and arbitrarily large s	[i]
33	No OA(49ⁿ⁺³⁵, s, S₄₉, 35) with finite t and arbitrarily large s	[i]
34	No OA(49ⁿ⁺³⁶, s, S₄₉, 36) with finite t and arbitrarily large s	[i]
35	No OA(49ⁿ⁺³⁷, s, S₄₉, 37) with finite t and arbitrarily large s	[i]
36	No OA(49ⁿ⁺³⁸, s, S₄₉, 38) with finite t and arbitrarily large s	[i]
37	No OA(49ⁿ⁺³⁹, s, S₄₉, 39) with finite t and arbitrarily large s	[i]
38	No OA(49ⁿ⁺⁴⁰, s, S₄₉, 40) with finite t and arbitrarily large s	[i]
39	No OA(49ⁿ⁺⁴¹, s, S₄₉, 41) with finite t and arbitrarily large s	[i]
40	No OA(49ⁿ⁺⁴², s, S₄₉, 42) with finite t and arbitrarily large s	[i]
41	No OA(49ⁿ⁺⁴³, s, S₄₉, 43) with finite t and arbitrarily large s	[i]
42	No OA(49ⁿ⁺⁴⁴, s, S₄₉, 44) with finite t and arbitrarily large s	[i]
43	No OA(49ⁿ⁺⁴⁵, s, S₄₉, 45) with finite t and arbitrarily large s	[i]
44	No OA(49ⁿ⁺⁴⁶, s, S₄₉, 46) with finite t and arbitrarily large s	[i]
45	No OA(49ⁿ⁺⁴⁷, s, S₄₉, 47) with finite t and arbitrarily large s	[i]
46	No OA(49ⁿ⁺⁴⁸, s, S₄₉, 48) with finite t and arbitrarily large s	[i]
47	No OA(49ⁿ⁺⁴⁹, s, S₄₉, 49) with finite t and arbitrarily large s	[i]
48	No OA(49ⁿ⁺⁵⁰, s, S₄₉, 50) with finite t and arbitrarily large s	[i]
49	No OA(49ⁿ⁺⁵¹, s, S₄₉, 51) with finite t and arbitrarily large s	[i]
50	No OA(49ⁿ⁺⁵², s, S₄₉, 52) with finite t and arbitrarily large s	[i]
51	No OA(49ⁿ⁺⁵³, s, S₄₉, 53) with finite t and arbitrarily large s	[i]
52	No OA(49ⁿ⁺⁵⁴, s, S₄₉, 54) with finite t and arbitrarily large s	[i]
53	No OA(49ⁿ⁺⁵⁵, s, S₄₉, 55) with finite t and arbitrarily large s	[i]