MinT - Information on Result #1966967

Information on Result #1966967

There is no OA(256ⁿ⁺², s, S₂₅₆, 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(256ⁿ⁺³, s, S₂₅₆, 3) with finite t and arbitrarily large s	[i]	Strength Reduction
2	No OA(256ⁿ⁺⁴, s, S₂₅₆, 4) with finite t and arbitrarily large s	[i]
3	No OA(256ⁿ⁺⁵, s, S₂₅₆, 5) with finite t and arbitrarily large s	[i]
4	No OA(256ⁿ⁺⁶, s, S₂₅₆, 6) with finite t and arbitrarily large s	[i]
5	No OA(256ⁿ⁺⁷, s, S₂₅₆, 7) with finite t and arbitrarily large s	[i]
6	No OA(256ⁿ⁺⁸, s, S₂₅₆, 8) with finite t and arbitrarily large s	[i]
7	No OA(256ⁿ⁺⁹, s, S₂₅₆, 9) with finite t and arbitrarily large s	[i]
8	No OA(256ⁿ⁺¹⁰, s, S₂₅₆, 10) with finite t and arbitrarily large s	[i]
9	No OA(256ⁿ⁺¹¹, s, S₂₅₆, 11) with finite t and arbitrarily large s	[i]
10	No OA(256ⁿ⁺¹², s, S₂₅₆, 12) with finite t and arbitrarily large s	[i]
11	No OA(256ⁿ⁺¹³, s, S₂₅₆, 13) with finite t and arbitrarily large s	[i]
12	No OA(256ⁿ⁺¹⁴, s, S₂₅₆, 14) with finite t and arbitrarily large s	[i]
13	No OA(256ⁿ⁺¹⁵, s, S₂₅₆, 15) with finite t and arbitrarily large s	[i]
14	No OA(256ⁿ⁺¹⁶, s, S₂₅₆, 16) with finite t and arbitrarily large s	[i]
15	No OA(256ⁿ⁺¹⁷, s, S₂₅₆, 17) with finite t and arbitrarily large s	[i]
16	No OA(256ⁿ⁺¹⁸, s, S₂₅₆, 18) with finite t and arbitrarily large s	[i]
17	No OA(256ⁿ⁺¹⁹, s, S₂₅₆, 19) with finite t and arbitrarily large s	[i]
18	No OA(256ⁿ⁺²⁰, s, S₂₅₆, 20) with finite t and arbitrarily large s	[i]
19	No OA(256ⁿ⁺²¹, s, S₂₅₆, 21) with finite t and arbitrarily large s	[i]
20	No OA(256ⁿ⁺²², s, S₂₅₆, 22) with finite t and arbitrarily large s	[i]
21	No OA(256ⁿ⁺²³, s, S₂₅₆, 23) with finite t and arbitrarily large s	[i]
22	No OA(256ⁿ⁺²⁴, s, S₂₅₆, 24) with finite t and arbitrarily large s	[i]
23	No OA(256ⁿ⁺²⁵, s, S₂₅₆, 25) with finite t and arbitrarily large s	[i]
24	No OA(256ⁿ⁺²⁶, s, S₂₅₆, 26) with finite t and arbitrarily large s	[i]
25	No OA(256ⁿ⁺²⁷, s, S₂₅₆, 27) with finite t and arbitrarily large s	[i]
26	No OA(256ⁿ⁺²⁸, s, S₂₅₆, 28) with finite t and arbitrarily large s	[i]
27	No OA(256ⁿ⁺²⁹, s, S₂₅₆, 29) with finite t and arbitrarily large s	[i]
28	No OA(256ⁿ⁺³⁰, s, S₂₅₆, 30) with finite t and arbitrarily large s	[i]
29	No OA(256ⁿ⁺³¹, s, S₂₅₆, 31) with finite t and arbitrarily large s	[i]
30	No OA(256ⁿ⁺³², s, S₂₅₆, 32) with finite t and arbitrarily large s	[i]
31	No OA(256ⁿ⁺³³, s, S₂₅₆, 33) with finite t and arbitrarily large s	[i]
32	No OA(256ⁿ⁺³⁴, s, S₂₅₆, 34) with finite t and arbitrarily large s	[i]
33	No OA(256ⁿ⁺³⁵, s, S₂₅₆, 35) with finite t and arbitrarily large s	[i]
34	No OA(256ⁿ⁺³⁶, s, S₂₅₆, 36) with finite t and arbitrarily large s	[i]
35	No OA(256ⁿ⁺³⁷, s, S₂₅₆, 37) with finite t and arbitrarily large s	[i]
36	No OA(256ⁿ⁺³⁸, s, S₂₅₆, 38) with finite t and arbitrarily large s	[i]
37	No OA(256ⁿ⁺³⁹, s, S₂₅₆, 39) with finite t and arbitrarily large s	[i]
38	No OA(256ⁿ⁺⁴⁰, s, S₂₅₆, 40) with finite t and arbitrarily large s	[i]
39	No OA(256ⁿ⁺⁴¹, s, S₂₅₆, 41) with finite t and arbitrarily large s	[i]
40	No OA(256ⁿ⁺⁴², s, S₂₅₆, 42) with finite t and arbitrarily large s	[i]
41	No OA(256ⁿ⁺⁴³, s, S₂₅₆, 43) with finite t and arbitrarily large s	[i]
42	No OA(256ⁿ⁺⁴⁴, s, S₂₅₆, 44) with finite t and arbitrarily large s	[i]
43	No OA(256ⁿ⁺⁴⁵, s, S₂₅₆, 45) with finite t and arbitrarily large s	[i]
44	No OA(256ⁿ⁺⁴⁶, s, S₂₅₆, 46) with finite t and arbitrarily large s	[i]
45	No OA(256ⁿ⁺⁴⁷, s, S₂₅₆, 47) with finite t and arbitrarily large s	[i]
46	No OA(256ⁿ⁺⁴⁸, s, S₂₅₆, 48) with finite t and arbitrarily large s	[i]
47	No OA(256ⁿ⁺⁴⁹, s, S₂₅₆, 49) with finite t and arbitrarily large s	[i]
48	No OA(256ⁿ⁺⁵⁰, s, S₂₅₆, 50) with finite t and arbitrarily large s	[i]
49	No OA(256ⁿ⁺⁵¹, s, S₂₅₆, 51) with finite t and arbitrarily large s	[i]
50	No OA(256ⁿ⁺⁵², s, S₂₅₆, 52) with finite t and arbitrarily large s	[i]
51	No OA(256ⁿ⁺⁵³, s, S₂₅₆, 53) with finite t and arbitrarily large s	[i]
52	No OA(256ⁿ⁺⁵⁴, s, S₂₅₆, 54) with finite t and arbitrarily large s	[i]
53	No OA(256ⁿ⁺⁵⁵, s, S₂₅₆, 55) with finite t and arbitrarily large s	[i]
54	No OA(256ⁿ⁺⁵⁶, s, S₂₅₆, 56) with finite t and arbitrarily large s	[i]
55	No OA(256ⁿ⁺⁵⁷, s, S₂₅₆, 57) with finite t and arbitrarily large s	[i]
56	No OA(256ⁿ⁺⁵⁸, s, S₂₅₆, 58) with finite t and arbitrarily large s	[i]
57	No OA(256ⁿ⁺⁵⁹, s, S₂₅₆, 59) with finite t and arbitrarily large s	[i]
58	No OA(256ⁿ⁺⁶⁰, s, S₂₅₆, 60) with finite t and arbitrarily large s	[i]
59	No OA(256ⁿ⁺⁶¹, s, S₂₅₆, 61) with finite t and arbitrarily large s	[i]
60	No OA(256ⁿ⁺⁶², s, S₂₅₆, 62) with finite t and arbitrarily large s	[i]
61	No OA(256ⁿ⁺⁶³, s, S₂₅₆, 63) with finite t and arbitrarily large s	[i]
62	No OA(256ⁿ⁺⁶⁴, s, S₂₅₆, 64) with finite t and arbitrarily large s	[i]
63	No OA(256ⁿ⁺⁶⁵, s, S₂₅₆, 65) with finite t and arbitrarily large s	[i]
64	No OA(256ⁿ⁺⁶⁶, s, S₂₅₆, 66) with finite t and arbitrarily large s	[i]
65	No OA(256ⁿ⁺⁶⁷, s, S₂₅₆, 67) with finite t and arbitrarily large s	[i]
66	No OA(256ⁿ⁺⁶⁸, s, S₂₅₆, 68) with finite t and arbitrarily large s	[i]