Information on Result #1966921
There is no OA(5n+2, s, S5, 2) with finite t and arbitrarily large s, 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 k and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No OA(5n+3, s, S5, 3) with finite t and arbitrarily large s | [i] | Strength Reduction | |
2 | No OA(5n+4, s, S5, 4) with finite t and arbitrarily large s | [i] | ||
3 | No OA(5n+5, s, S5, 5) with finite t and arbitrarily large s | [i] | ||
4 | No OA(5n+6, s, S5, 6) with finite t and arbitrarily large s | [i] | ||
5 | No OA(5n+7, s, S5, 7) with finite t and arbitrarily large s | [i] | ||
6 | No OA(5n+8, s, S5, 8) with finite t and arbitrarily large s | [i] | ||
7 | No OA(5n+9, s, S5, 9) with finite t and arbitrarily large s | [i] | ||
8 | No OA(5n+10, s, S5, 10) with finite t and arbitrarily large s | [i] | ||
9 | No OA(5n+11, s, S5, 11) with finite t and arbitrarily large s | [i] | ||
10 | No OA(5n+12, s, S5, 12) with finite t and arbitrarily large s | [i] | ||
11 | No OA(5n+13, s, S5, 13) with finite t and arbitrarily large s | [i] | ||
12 | No OA(5n+14, s, S5, 14) with finite t and arbitrarily large s | [i] | ||
13 | No OA(5n+15, s, S5, 15) with finite t and arbitrarily large s | [i] | ||
14 | No OA(5n+16, s, S5, 16) with finite t and arbitrarily large s | [i] | ||
15 | No OA(5n+17, s, S5, 17) with finite t and arbitrarily large s | [i] | ||
16 | No OA(5n+18, s, S5, 18) with finite t and arbitrarily large s | [i] | ||
17 | No OA(5n+19, s, S5, 19) with finite t and arbitrarily large s | [i] | ||
18 | No OA(5n+20, s, S5, 20) with finite t and arbitrarily large s | [i] | ||
19 | No OA(5n+21, s, S5, 21) with finite t and arbitrarily large s | [i] | ||
20 | No OA(5n+22, s, S5, 22) with finite t and arbitrarily large s | [i] | ||
21 | No OA(5n+23, s, S5, 23) with finite t and arbitrarily large s | [i] | ||
22 | No OA(5n+24, s, S5, 24) with finite t and arbitrarily large s | [i] | ||
23 | No OA(5n+25, s, S5, 25) with finite t and arbitrarily large s | [i] | ||
24 | No OA(5n+26, s, S5, 26) with finite t and arbitrarily large s | [i] | ||
25 | No OA(5n+27, s, S5, 27) with finite t and arbitrarily large s | [i] | ||
26 | No OA(5n+28, s, S5, 28) with finite t and arbitrarily large s | [i] | ||
27 | No OA(5n+29, s, S5, 29) with finite t and arbitrarily large s | [i] | ||
28 | No OA(5n+30, s, S5, 30) with finite t and arbitrarily large s | [i] | ||
29 | No OA(5n+31, s, S5, 31) with finite t and arbitrarily large s | [i] | ||
30 | No OA(5n+32, s, S5, 32) with finite t and arbitrarily large s | [i] | ||
31 | No OA(5n+33, s, S5, 33) with finite t and arbitrarily large s | [i] | ||
32 | No OA(5n+34, s, S5, 34) with finite t and arbitrarily large s | [i] | ||
33 | No OA(5n+35, s, S5, 35) with finite t and arbitrarily large s | [i] | ||
34 | No OA(5n+36, s, S5, 36) with finite t and arbitrarily large s | [i] | ||
35 | No OA(5n+37, s, S5, 37) with finite t and arbitrarily large s | [i] | ||
36 | No OA(5n+38, s, S5, 38) with finite t and arbitrarily large s | [i] | ||
37 | No OA(5n+39, s, S5, 39) with finite t and arbitrarily large s | [i] | ||
38 | No OA(5n+40, s, S5, 40) with finite t and arbitrarily large s | [i] | ||
39 | No OA(5n+41, s, S5, 41) with finite t and arbitrarily large s | [i] | ||
40 | No OA(5n+42, s, S5, 42) with finite t and arbitrarily large s | [i] | ||
41 | No OA(5n+43, s, S5, 43) with finite t and arbitrarily large s | [i] | ||
42 | No OA(5n+44, s, S5, 44) with finite t and arbitrarily large s | [i] | ||
43 | No OA(5n+45, s, S5, 45) with finite t and arbitrarily large s | [i] | ||
44 | No OA(5n+46, s, S5, 46) with finite t and arbitrarily large s | [i] | ||
45 | No OA(5n+47, s, S5, 47) with finite t and arbitrarily large s | [i] | ||
46 | No OA(5n+48, s, S5, 48) with finite t and arbitrarily large s | [i] | ||
47 | No OA(5n+49, s, S5, 49) with finite t and arbitrarily large s | [i] | ||
48 | No OA(5n+50, s, S5, 50) with finite t and arbitrarily large s | [i] | ||
49 | No OA(5n+51, s, S5, 51) with finite t and arbitrarily large s | [i] | ||
50 | No OA(5n+52, s, S5, 52) with finite t and arbitrarily large s | [i] | ||
51 | No OA(5n+53, s, S5, 53) with finite t and arbitrarily large s | [i] | ||
52 | No OA(5n+54, s, S5, 54) with finite t and arbitrarily large s | [i] | ||
53 | No OA(5n+55, s, S5, 55) with finite t and arbitrarily large s | [i] | ||
54 | No OA(5n+56, s, S5, 56) with finite t and arbitrarily large s | [i] | ||
55 | No OA(5n+57, s, S5, 57) with finite t and arbitrarily large s | [i] | ||
56 | No OA(5n+58, s, S5, 58) with finite t and arbitrarily large s | [i] | ||
57 | No OA(5n+59, s, S5, 59) with finite t and arbitrarily large s | [i] | ||
58 | No OA(5n+60, s, S5, 60) with finite t and arbitrarily large s | [i] | ||
59 | No OA(5n+61, s, S5, 61) with finite t and arbitrarily large s | [i] | ||
60 | No OA(5n+62, s, S5, 62) with finite t and arbitrarily large s | [i] | ||
61 | No OA(5n+63, s, S5, 63) with finite t and arbitrarily large s | [i] | ||
62 | No OA(5n+64, s, S5, 64) with finite t and arbitrarily large s | [i] | ||
63 | No OA(5n+65, s, S5, 65) with finite t and arbitrarily large s | [i] | ||
64 | No OA(5n+66, s, S5, 66) with finite t and arbitrarily large s | [i] | ||
65 | No OA(5n+67, s, S5, 67) with finite t and arbitrarily large s | [i] | ||
66 | No OA(5n+68, s, S5, 68) with finite t and arbitrarily large s | [i] | ||
67 | No OA(5n+69, s, S5, 69) with finite t and arbitrarily large s | [i] | ||
68 | No OA(5n+70, s, S5, 70) with finite t and arbitrarily large s | [i] | ||
69 | No OA(5n+71, s, S5, 71) with finite t and arbitrarily large s | [i] | ||
70 | No OA(5n+72, s, S5, 72) with finite t and arbitrarily large s | [i] | ||
71 | No OA(5n+73, s, S5, 73) with finite t and arbitrarily large s | [i] | ||
72 | No OA(5n+74, s, S5, 74) with finite t and arbitrarily large s | [i] | ||
73 | No OA(5n+75, s, S5, 75) with finite t and arbitrarily large s | [i] | ||
74 | No OA(5n+76, s, S5, 76) with finite t and arbitrarily large s | [i] | ||
75 | No OA(5n+77, s, S5, 77) with finite t and arbitrarily large s | [i] | ||
76 | No OA(5n+78, s, S5, 78) with finite t and arbitrarily large s | [i] | ||
77 | No OA(5n+79, s, S5, 79) with finite t and arbitrarily large s | [i] | ||
78 | No OA(5n+80, s, S5, 80) with finite t and arbitrarily large s | [i] | ||
79 | No OA(5n+81, s, S5, 81) with finite t and arbitrarily large s | [i] | ||
80 | No OA(5n+82, s, S5, 82) with finite t and arbitrarily large s | [i] | ||
81 | No OA(5n+83, s, S5, 83) with finite t and arbitrarily large s | [i] | ||
82 | No OA(5n+84, s, S5, 84) with finite t and arbitrarily large s | [i] | ||
83 | No OA(5n+85, s, S5, 85) with finite t and arbitrarily large s | [i] | ||
84 | No OA(5n+86, s, S5, 86) with finite t and arbitrarily large s | [i] | ||
85 | No OA(5n+87, s, S5, 87) with finite t and arbitrarily large s | [i] | ||
86 | No OA(5n+88, s, S5, 88) with finite t and arbitrarily large s | [i] | ||
87 | No OA(5n+89, s, S5, 89) with finite t and arbitrarily large s | [i] | ||
88 | No OA(5n+90, s, S5, 90) with finite t and arbitrarily large s | [i] | ||
89 | No OA(5n+91, s, S5, 91) with finite t and arbitrarily large s | [i] | ||
90 | No OA(5n+92, s, S5, 92) with finite t and arbitrarily large s | [i] | ||
91 | No OA(5n+93, s, S5, 93) with finite t and arbitrarily large s | [i] | ||
92 | No OA(5n+94, s, S5, 94) with finite t and arbitrarily large s | [i] | ||
93 | No OA(5n+95, s, S5, 95) with finite t and arbitrarily large s | [i] | ||
94 | No OA(5n+96, s, S5, 96) with finite t and arbitrarily large s | [i] | ||
95 | No OA(5n+97, s, S5, 97) with finite t and arbitrarily large s | [i] | ||
96 | No OA(5n+98, s, S5, 98) with finite t and arbitrarily large s | [i] | ||
97 | No OA(5n+99, s, S5, 99) with finite t and arbitrarily large s | [i] | ||
98 | No OA(5n+100, s, S5, 100) with finite t and arbitrarily large s | [i] | ||
99 | No OA(5n+101, s, S5, 101) with finite t and arbitrarily large s | [i] | ||
100 | No OA(5n+102, s, S5, 102) with finite t and arbitrarily large s | [i] | ||
101 | No OA(5n+103, s, S5, 103) with finite t and arbitrarily large s | [i] | ||
102 | No OA(5n+104, s, S5, 104) with finite t and arbitrarily large s | [i] | ||
103 | No OA(5n+105, s, S5, 105) with finite t and arbitrarily large s | [i] | ||
104 | No OA(5n+106, s, S5, 106) with finite t and arbitrarily large s | [i] | ||
105 | No OA(5n+107, s, S5, 107) with finite t and arbitrarily large s | [i] | ||
106 | No OA(5n+108, s, S5, 108) with finite t and arbitrarily large s | [i] | ||
107 | No OA(5n+109, s, S5, 109) with finite t and arbitrarily large s | [i] | ||
108 | No OA(5n+110, s, S5, 110) with finite t and arbitrarily large s | [i] | ||
109 | No OA(5n+111, s, S5, 111) with finite t and arbitrarily large s | [i] | ||
110 | No OA(5n+112, s, S5, 112) with finite t and arbitrarily large s | [i] | ||
111 | No OA(5n+113, s, S5, 113) with finite t and arbitrarily large s | [i] | ||
112 | No OA(5n+114, s, S5, 114) with finite t and arbitrarily large s | [i] | ||
113 | No OA(5n+115, s, S5, 115) with finite t and arbitrarily large s | [i] | ||
114 | No OA(5n+116, s, S5, 116) with finite t and arbitrarily large s | [i] | ||
115 | No OA(5n+117, s, S5, 117) with finite t and arbitrarily large s | [i] | ||
116 | No OA(5n+118, s, S5, 118) with finite t and arbitrarily large s | [i] | ||
117 | No OA(5n+119, s, S5, 119) with finite t and arbitrarily large s | [i] | ||
118 | No OA(5n+120, s, S5, 120) with finite t and arbitrarily large s | [i] | ||
119 | No OA(5n+121, s, S5, 121) with finite t and arbitrarily large s | [i] | ||
120 | No OA(5n+122, s, S5, 122) with finite t and arbitrarily large s | [i] | ||
121 | No OA(5n+123, s, S5, 123) with finite t and arbitrarily large s | [i] | ||
122 | No OA(5n+124, s, S5, 124) with finite t and arbitrarily large s | [i] | ||
123 | No OA(5n+125, s, S5, 125) with finite t and arbitrarily large s | [i] | ||
124 | No OA(5n+126, s, S5, 126) with finite t and arbitrarily large s | [i] | ||
125 | No OA(5n+127, s, S5, 127) with finite t and arbitrarily large s | [i] | ||
126 | No OA(5n+128, s, S5, 128) with finite t and arbitrarily large s | [i] | ||
127 | No OA(5n+129, s, S5, 129) with finite t and arbitrarily large s | [i] | ||
128 | No OA(5n+130, s, S5, 130) with finite t and arbitrarily large s | [i] | ||
129 | No OA(5n+131, s, S5, 131) with finite t and arbitrarily large s | [i] | ||
130 | No OA(5n+132, s, S5, 132) with finite t and arbitrarily large s | [i] | ||
131 | No OA(5n+133, s, S5, 133) with finite t and arbitrarily large s | [i] | ||
132 | No OA(5n+134, s, S5, 134) with finite t and arbitrarily large s | [i] | ||
133 | No OA(5n+135, s, S5, 135) with finite t and arbitrarily large s | [i] | ||
134 | No OA(5n+136, s, S5, 136) with finite t and arbitrarily large s | [i] | ||
135 | No OA(5n+137, s, S5, 137) with finite t and arbitrarily large s | [i] | ||
136 | No OA(5n+138, s, S5, 138) with finite t and arbitrarily large s | [i] | ||
137 | No OA(5n+139, s, S5, 139) with finite t and arbitrarily large s | [i] | ||
138 | No OA(5n+140, s, S5, 140) with finite t and arbitrarily large s | [i] | ||
139 | No OA(5n+141, s, S5, 141) with finite t and arbitrarily large s | [i] | ||
140 | No OA(5n+142, s, S5, 142) with finite t and arbitrarily large s | [i] | ||
141 | No OA(5n+143, s, S5, 143) with finite t and arbitrarily large s | [i] | ||
142 | No OA(5n+144, s, S5, 144) with finite t and arbitrarily large s | [i] | ||
143 | No OA(5n+145, s, S5, 145) with finite t and arbitrarily large s | [i] | ||
144 | No OA(5n+146, s, S5, 146) with finite t and arbitrarily large s | [i] | ||
145 | No OA(5n+147, s, S5, 147) with finite t and arbitrarily large s | [i] | ||
146 | No OA(5n+148, s, S5, 148) with finite t and arbitrarily large s | [i] | ||
147 | No OA(5n+149, s, S5, 149) with finite t and arbitrarily large s | [i] | ||
148 | No OA(5n+150, s, S5, 150) with finite t and arbitrarily large s | [i] |