Information on Result #1977316

There is no OA(32mm+nS32, 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:

ResultThis
result
only
Method
1No OA(32mm+nS32, 3) with finite m and arbitrarily large n [i]Strength Reduction
2No OA(32mm+nS32, 4) with finite m and arbitrarily large n [i]
3No OA(32mm+nS32, 5) with finite m and arbitrarily large n [i]
4No OA(32mm+nS32, 6) with finite m and arbitrarily large n [i]
5No OA(32mm+nS32, 7) with finite m and arbitrarily large n [i]
6No OA(32mm+nS32, 8) with finite m and arbitrarily large n [i]
7No OA(32mm+nS32, 9) with finite m and arbitrarily large n [i]
8No OA(32mm+nS32, 10) with finite m and arbitrarily large n [i]
9No OA(32mm+nS32, 11) with finite m and arbitrarily large n [i]
10No OA(32mm+nS32, 12) with finite m and arbitrarily large n [i]
11No OA(32mm+nS32, 13) with finite m and arbitrarily large n [i]
12No OA(32mm+nS32, 14) with finite m and arbitrarily large n [i]
13No OA(32mm+nS32, 15) with finite m and arbitrarily large n [i]
14No OA(32mm+nS32, 16) with finite m and arbitrarily large n [i]
15No OA(32mm+nS32, 17) with finite m and arbitrarily large n [i]
16No OA(32mm+nS32, 18) with finite m and arbitrarily large n [i]
17No OA(32mm+nS32, 19) with finite m and arbitrarily large n [i]
18No OA(32mm+nS32, 20) with finite m and arbitrarily large n [i]
19No OA(32mm+nS32, 21) with finite m and arbitrarily large n [i]
20No OA(32mm+nS32, 22) with finite m and arbitrarily large n [i]
21No OA(32mm+nS32, 23) with finite m and arbitrarily large n [i]
22No OA(32mm+nS32, 24) with finite m and arbitrarily large n [i]
23No OA(32mm+nS32, 25) with finite m and arbitrarily large n [i]
24No OA(32mm+nS32, 26) with finite m and arbitrarily large n [i]
25No OA(32mm+nS32, 27) with finite m and arbitrarily large n [i]
26No OA(32mm+nS32, 28) with finite m and arbitrarily large n [i]
27No OA(32mm+nS32, 29) with finite m and arbitrarily large n [i]
28No OA(32mm+nS32, 30) with finite m and arbitrarily large n [i]
29No OA(32mm+nS32, 31) with finite m and arbitrarily large n [i]
30No OA(32mm+nS32, 32) with finite m and arbitrarily large n [i]
31No OA(32mm+nS32, 33) with finite m and arbitrarily large n [i]
32No OA(32mm+nS32, 34) with finite m and arbitrarily large n [i]
33No OA(32mm+nS32, 35) with finite m and arbitrarily large n [i]
34No OA(32mm+nS32, 36) with finite m and arbitrarily large n [i]
35No OA(32mm+nS32, 37) with finite m and arbitrarily large n [i]
36No OA(32mm+nS32, 38) with finite m and arbitrarily large n [i]
37No OA(32mm+nS32, 39) with finite m and arbitrarily large n [i]
38No OA(32mm+nS32, 40) with finite m and arbitrarily large n [i]
39No OA(32mm+nS32, 41) with finite m and arbitrarily large n [i]
40No OA(32mm+nS32, 42) with finite m and arbitrarily large n [i]
41No OA(32mm+nS32, 43) with finite m and arbitrarily large n [i]
42No OA(32mm+nS32, 44) with finite m and arbitrarily large n [i]
43No OA(32mm+nS32, 45) with finite m and arbitrarily large n [i]
44No OA(32mm+nS32, 46) with finite m and arbitrarily large n [i]
45No OA(32mm+nS32, 47) with finite m and arbitrarily large n [i]
46No OA(32mm+nS32, 48) with finite m and arbitrarily large n [i]
47No OA(32mm+nS32, 49) with finite m and arbitrarily large n [i]
48No OA(32mm+nS32, 50) with finite m and arbitrarily large n [i]
49No OA(32mm+nS32, 51) with finite m and arbitrarily large n [i]
50No OA(32mm+nS32, 52) with finite m and arbitrarily large n [i]
51No OA(32mm+nS32, 53) with finite m and arbitrarily large n [i]
52No OA(32mm+nS32, 54) with finite m and arbitrarily large n [i]
53No OA(32mm+nS32, 55) with finite m and arbitrarily large n [i]
54No OA(32mm+nS32, 56) with finite m and arbitrarily large n [i]
55No OA(32mm+nS32, 57) with finite m and arbitrarily large n [i]
56No OA(32mm+nS32, 58) with finite m and arbitrarily large n [i]
57No OA(32mm+nS32, 59) with finite m and arbitrarily large n [i]
58No OA(32mm+nS32, 60) with finite m and arbitrarily large n [i]
59No OA(32mm+nS32, 61) with finite m and arbitrarily large n [i]
60No OA(32mm+nS32, 62) with finite m and arbitrarily large n [i]
61No OA(32mm+nS32, 63) with finite m and arbitrarily large n [i]
62No OA(32mm+nS32, 64) with finite m and arbitrarily large n [i]
63No OA(32mm+nS32, 65) with finite m and arbitrarily large n [i]
64No OA(32mm+nS32, 66) with finite m and arbitrarily large n [i]
65No OA(32mm+nS32, 67) with finite m and arbitrarily large n [i]
66No OA(32mm+nS32, 68) with finite m and arbitrarily large n [i]
67No OA(32mm+nS32, 69) with finite m and arbitrarily large n [i]
68No OA(32mm+nS32, 70) with finite m and arbitrarily large n [i]
69No OA(32mm+nS32, 71) with finite m and arbitrarily large n [i]
70No OA(32mm+nS32, 72) with finite m and arbitrarily large n [i]
71No OA(32mm+nS32, 73) with finite m and arbitrarily large n [i]
72No OA(32mm+nS32, 74) with finite m and arbitrarily large n [i]
73No OA(32mm+nS32, 75) with finite m and arbitrarily large n [i]
74No OA(32mm+nS32, 76) with finite m and arbitrarily large n [i]
75No OA(32mm+nS32, 77) with finite m and arbitrarily large n [i]
76No OA(32mm+nS32, 78) with finite m and arbitrarily large n [i]
77No OA(32mm+nS32, 79) with finite m and arbitrarily large n [i]
78No OA(32mm+nS32, 80) with finite m and arbitrarily large n [i]
79No OA(32mm+nS32, 81) with finite m and arbitrarily large n [i]
80No OA(32mm+nS32, 82) with finite m and arbitrarily large n [i]
81No OA(32mm+nS32, 83) with finite m and arbitrarily large n [i]
82No OA(32mm+nS32, 84) with finite m and arbitrarily large n [i]
83No OA(32mm+nS32, 85) with finite m and arbitrarily large n [i]
84No OA(32mm+nS32, 86) with finite m and arbitrarily large n [i]
85No OA(32mm+nS32, 87) with finite m and arbitrarily large n [i]
86No OA(32mm+nS32, 88) with finite m and arbitrarily large n [i]
87No OA(32mm+nS32, 89) with finite m and arbitrarily large n [i]
88No OA(32mm+nS32, 90) with finite m and arbitrarily large n [i]
89No OA(32mm+nS32, 91) with finite m and arbitrarily large n [i]
90No OA(32mm+nS32, 92) with finite m and arbitrarily large n [i]
91No OA(32mm+nS32, 93) with finite m and arbitrarily large n [i]
92No OA(32mm+nS32, 94) with finite m and arbitrarily large n [i]
93No OA(32mm+nS32, 95) with finite m and arbitrarily large n [i]
94No OA(32mm+nS32, 96) with finite m and arbitrarily large n [i]
95No OA(32mm+nS32, 97) with finite m and arbitrarily large n [i]
96No OA(32mm+nS32, 98) with finite m and arbitrarily large n [i]
97No OA(32mm+nS32, 99) with finite m and arbitrarily large n [i]
98No OA(32mm+nS32, 100) with finite m and arbitrarily large n [i]
99No OA(32mm+nS32, 101) with finite m and arbitrarily large n [i]
100No OA(32mm+nS32, 102) with finite m and arbitrarily large n [i]
101No OA(32mm+nS32, 103) with finite m and arbitrarily large n [i]
102No OA(32mm+nS32, 104) with finite m and arbitrarily large n [i]
103No OA(32mm+nS32, 105) with finite m and arbitrarily large n [i]
104No OA(32mm+nS32, 106) with finite m and arbitrarily large n [i]
105No OA(32mm+nS32, 107) with finite m and arbitrarily large n [i]
106No OA(32mm+nS32, 108) with finite m and arbitrarily large n [i]
107No OA(32mm+nS32, 109) with finite m and arbitrarily large n [i]
108No OA(32mm+nS32, 110) with finite m and arbitrarily large n [i]