Information on Result #1977301
There is no OA(7m, m+n, S7, 2) with finite m and arbitrarily large n, because lower bound on the number of runs for OAs with strength k = 2 and arbitrarily large number of factors s
Mode: Bound.
Optimality
Show details for fixed n and k.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No OA(7m, m+n, S7, 3) with finite m and arbitrarily large n | [i] | Strength Reduction | |
2 | No OA(7m, m+n, S7, 4) with finite m and arbitrarily large n | [i] | ||
3 | No OA(7m, m+n, S7, 5) with finite m and arbitrarily large n | [i] | ||
4 | No OA(7m, m+n, S7, 6) with finite m and arbitrarily large n | [i] | ||
5 | No OA(7m, m+n, S7, 7) with finite m and arbitrarily large n | [i] | ||
6 | No OA(7m, m+n, S7, 8) with finite m and arbitrarily large n | [i] | ||
7 | No OA(7m, m+n, S7, 9) with finite m and arbitrarily large n | [i] | ||
8 | No OA(7m, m+n, S7, 10) with finite m and arbitrarily large n | [i] | ||
9 | No OA(7m, m+n, S7, 11) with finite m and arbitrarily large n | [i] | ||
10 | No OA(7m, m+n, S7, 12) with finite m and arbitrarily large n | [i] | ||
11 | No OA(7m, m+n, S7, 13) with finite m and arbitrarily large n | [i] | ||
12 | No OA(7m, m+n, S7, 14) with finite m and arbitrarily large n | [i] | ||
13 | No OA(7m, m+n, S7, 15) with finite m and arbitrarily large n | [i] | ||
14 | No OA(7m, m+n, S7, 16) with finite m and arbitrarily large n | [i] | ||
15 | No OA(7m, m+n, S7, 17) with finite m and arbitrarily large n | [i] | ||
16 | No OA(7m, m+n, S7, 18) with finite m and arbitrarily large n | [i] | ||
17 | No OA(7m, m+n, S7, 19) with finite m and arbitrarily large n | [i] | ||
18 | No OA(7m, m+n, S7, 20) with finite m and arbitrarily large n | [i] | ||
19 | No OA(7m, m+n, S7, 21) with finite m and arbitrarily large n | [i] | ||
20 | No OA(7m, m+n, S7, 22) with finite m and arbitrarily large n | [i] | ||
21 | No OA(7m, m+n, S7, 23) with finite m and arbitrarily large n | [i] | ||
22 | No OA(7m, m+n, S7, 24) with finite m and arbitrarily large n | [i] | ||
23 | No OA(7m, m+n, S7, 25) with finite m and arbitrarily large n | [i] | ||
24 | No OA(7m, m+n, S7, 26) with finite m and arbitrarily large n | [i] | ||
25 | No OA(7m, m+n, S7, 27) with finite m and arbitrarily large n | [i] | ||
26 | No OA(7m, m+n, S7, 28) with finite m and arbitrarily large n | [i] | ||
27 | No OA(7m, m+n, S7, 29) with finite m and arbitrarily large n | [i] | ||
28 | No OA(7m, m+n, S7, 30) with finite m and arbitrarily large n | [i] | ||
29 | No OA(7m, m+n, S7, 31) with finite m and arbitrarily large n | [i] | ||
30 | No OA(7m, m+n, S7, 32) with finite m and arbitrarily large n | [i] | ||
31 | No OA(7m, m+n, S7, 33) with finite m and arbitrarily large n | [i] | ||
32 | No OA(7m, m+n, S7, 34) with finite m and arbitrarily large n | [i] | ||
33 | No OA(7m, m+n, S7, 35) with finite m and arbitrarily large n | [i] | ||
34 | No OA(7m, m+n, S7, 36) with finite m and arbitrarily large n | [i] | ||
35 | No OA(7m, m+n, S7, 37) with finite m and arbitrarily large n | [i] | ||
36 | No OA(7m, m+n, S7, 38) with finite m and arbitrarily large n | [i] | ||
37 | No OA(7m, m+n, S7, 39) with finite m and arbitrarily large n | [i] | ||
38 | No OA(7m, m+n, S7, 40) with finite m and arbitrarily large n | [i] | ||
39 | No OA(7m, m+n, S7, 41) with finite m and arbitrarily large n | [i] | ||
40 | No OA(7m, m+n, S7, 42) with finite m and arbitrarily large n | [i] | ||
41 | No OA(7m, m+n, S7, 43) with finite m and arbitrarily large n | [i] | ||
42 | No OA(7m, m+n, S7, 44) with finite m and arbitrarily large n | [i] | ||
43 | No OA(7m, m+n, S7, 45) with finite m and arbitrarily large n | [i] | ||
44 | No OA(7m, m+n, S7, 46) with finite m and arbitrarily large n | [i] | ||
45 | No OA(7m, m+n, S7, 47) with finite m and arbitrarily large n | [i] | ||
46 | No OA(7m, m+n, S7, 48) with finite m and arbitrarily large n | [i] | ||
47 | No OA(7m, m+n, S7, 49) with finite m and arbitrarily large n | [i] | ||
48 | No OA(7m, m+n, S7, 50) with finite m and arbitrarily large n | [i] | ||
49 | No OA(7m, m+n, S7, 51) with finite m and arbitrarily large n | [i] | ||
50 | No OA(7m, m+n, S7, 52) with finite m and arbitrarily large n | [i] | ||
51 | No OA(7m, m+n, S7, 53) with finite m and arbitrarily large n | [i] | ||
52 | No OA(7m, m+n, S7, 54) with finite m and arbitrarily large n | [i] | ||
53 | No OA(7m, m+n, S7, 55) with finite m and arbitrarily large n | [i] | ||
54 | No OA(7m, m+n, S7, 56) with finite m and arbitrarily large n | [i] | ||
55 | No OA(7m, m+n, S7, 57) with finite m and arbitrarily large n | [i] | ||
56 | No OA(7m, m+n, S7, 58) with finite m and arbitrarily large n | [i] | ||
57 | No OA(7m, m+n, S7, 59) with finite m and arbitrarily large n | [i] | ||
58 | No OA(7m, m+n, S7, 60) with finite m and arbitrarily large n | [i] | ||
59 | No OA(7m, m+n, S7, 61) with finite m and arbitrarily large n | [i] | ||
60 | No OA(7m, m+n, S7, 62) with finite m and arbitrarily large n | [i] | ||
61 | No OA(7m, m+n, S7, 63) with finite m and arbitrarily large n | [i] | ||
62 | No OA(7m, m+n, S7, 64) with finite m and arbitrarily large n | [i] | ||
63 | No OA(7m, m+n, S7, 65) with finite m and arbitrarily large n | [i] | ||
64 | No OA(7m, m+n, S7, 66) with finite m and arbitrarily large n | [i] | ||
65 | No OA(7m, m+n, S7, 67) with finite m and arbitrarily large n | [i] | ||
66 | No OA(7m, m+n, S7, 68) with finite m and arbitrarily large n | [i] | ||
67 | No OA(7m, m+n, S7, 69) with finite m and arbitrarily large n | [i] | ||
68 | No OA(7m, m+n, S7, 70) with finite m and arbitrarily large n | [i] | ||
69 | No OA(7m, m+n, S7, 71) with finite m and arbitrarily large n | [i] | ||
70 | No OA(7m, m+n, S7, 72) with finite m and arbitrarily large n | [i] | ||
71 | No OA(7m, m+n, S7, 73) with finite m and arbitrarily large n | [i] | ||
72 | No OA(7m, m+n, S7, 74) with finite m and arbitrarily large n | [i] | ||
73 | No OA(7m, m+n, S7, 75) with finite m and arbitrarily large n | [i] | ||
74 | No OA(7m, m+n, S7, 76) with finite m and arbitrarily large n | [i] | ||
75 | No OA(7m, m+n, S7, 77) with finite m and arbitrarily large n | [i] | ||
76 | No OA(7m, m+n, S7, 78) with finite m and arbitrarily large n | [i] | ||
77 | No OA(7m, m+n, S7, 79) with finite m and arbitrarily large n | [i] | ||
78 | No OA(7m, m+n, S7, 80) with finite m and arbitrarily large n | [i] | ||
79 | No OA(7m, m+n, S7, 81) with finite m and arbitrarily large n | [i] | ||
80 | No OA(7m, m+n, S7, 82) with finite m and arbitrarily large n | [i] | ||
81 | No OA(7m, m+n, S7, 83) with finite m and arbitrarily large n | [i] | ||
82 | No OA(7m, m+n, S7, 84) with finite m and arbitrarily large n | [i] | ||
83 | No OA(7m, m+n, S7, 85) with finite m and arbitrarily large n | [i] | ||
84 | No OA(7m, m+n, S7, 86) with finite m and arbitrarily large n | [i] | ||
85 | No OA(7m, m+n, S7, 87) with finite m and arbitrarily large n | [i] | ||
86 | No OA(7m, m+n, S7, 88) with finite m and arbitrarily large n | [i] | ||
87 | No OA(7m, m+n, S7, 89) with finite m and arbitrarily large n | [i] | ||
88 | No OA(7m, m+n, S7, 90) with finite m and arbitrarily large n | [i] | ||
89 | No OA(7m, m+n, S7, 91) with finite m and arbitrarily large n | [i] | ||
90 | No OA(7m, m+n, S7, 92) with finite m and arbitrarily large n | [i] | ||
91 | No OA(7m, m+n, S7, 93) with finite m and arbitrarily large n | [i] | ||
92 | No OA(7m, m+n, S7, 94) with finite m and arbitrarily large n | [i] | ||
93 | No OA(7m, m+n, S7, 95) with finite m and arbitrarily large n | [i] | ||
94 | No OA(7m, m+n, S7, 96) with finite m and arbitrarily large n | [i] | ||
95 | No OA(7m, m+n, S7, 97) with finite m and arbitrarily large n | [i] | ||
96 | No OA(7m, m+n, S7, 98) with finite m and arbitrarily large n | [i] | ||
97 | No OA(7m, m+n, S7, 99) with finite m and arbitrarily large n | [i] | ||
98 | No OA(7m, m+n, S7, 100) with finite m and arbitrarily large n | [i] | ||
99 | No OA(7m, m+n, S7, 101) with finite m and arbitrarily large n | [i] | ||
100 | No OA(7m, m+n, S7, 102) with finite m and arbitrarily large n | [i] | ||
101 | No OA(7m, m+n, S7, 103) with finite m and arbitrarily large n | [i] | ||
102 | No OA(7m, m+n, S7, 104) with finite m and arbitrarily large n | [i] | ||
103 | No OA(7m, m+n, S7, 105) with finite m and arbitrarily large n | [i] | ||
104 | No OA(7m, m+n, S7, 106) with finite m and arbitrarily large n | [i] | ||
105 | No OA(7m, m+n, S7, 107) with finite m and arbitrarily large n | [i] | ||
106 | No OA(7m, m+n, S7, 108) with finite m and arbitrarily large n | [i] | ||
107 | No OA(7m, m+n, S7, 109) with finite m and arbitrarily large n | [i] | ||
108 | No OA(7m, m+n, S7, 110) with finite m and arbitrarily large n | [i] |