Table for CAN(5,k,20) for k up to 10000

Last Updated Sun Nov 22 06:43:43 MST 2009

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,20) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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kNSource
63200000Derive from strength 6
73545706Derive from strength 6
83732322Derive from strength 6
93928760Derive from strength 6
104135536Add a symbol
114353195Add a symbol
124582310Add a symbol
134823484Add a symbol
145077351Add a symbol
155344580Add a symbol
165625873Add a symbol
175921971Add a symbol
186233653Add a symbol
246436337orthogonal array fuse fuse fuse
269765615orthogonal array fuse fuse fuse fuse fuse
2811854900Martirosyan-Tran van Trung
3012361757Martirosyan-Tran van Trung
3212643050Martirosyan-Tran van Trung
3412939148Martirosyan-Tran van Trung
3613250830Martirosyan-Tran van Trung
4813453514Martirosyan-Tran van Trung
5018897536Martirosyan-Tran van Trung
5218907460Martirosyan-Tran van Trung
5423682097Martirosyan-Tran van Trung
5623913657Martirosyan-Tran van Trung
5826076978Martirosyan-Tran van Trung
6026357445Martirosyan-Tran van Trung
6226648662Martirosyan-Tran van Trung
6427044543Martirosyan-Tran van Trung
6627357181Martirosyan-Tran van Trung
6827363797Martirosyan-Tran van Trung
7027685403Martirosyan-Tran van Trung
7227880575Martirosyan-Tran van Trung
7428083259Martirosyan-Tran van Trung
7828099799Martirosyan-Tran van Trung
8028162651Martirosyan-Tran van Trung
8228225503Martirosyan-Tran van Trung
8428288355Martirosyan-Tran van Trung
8628351207Martirosyan-Tran van Trung
8828414059Martirosyan-Tran van Trung
9428476911Martirosyan-Tran van Trung
9629010165Martirosyan-Tran van Trung
9837846385Martirosyan-Tran van Trung
10037948933Martirosyan-Tran van Trung
10437958857Martirosyan-Tran van Trung
10845763652Martirosyan-Tran van Trung
11245995212Martirosyan-Tran van Trung
12147885134Power 11^2
12448730217Martirosyan-Tran van Trung
12849126098Martirosyan-Tran van Trung
13249438736Martirosyan-Tran van Trung
13649445352Martirosyan-Tran van Trung
13849766958Martirosyan-Tran van Trung
14050070958Martirosyan-Tran van Trung
14450266130Martirosyan-Tran van Trung
15652817139Power 13^2T1
16953058313Power 13^2
17254159232Martirosyan-Tran van Trung
17654222084Martirosyan-Tran van Trung
18454284936Martirosyan-Tran van Trung
18854559676Martirosyan-Tran van Trung
19255122152Martirosyan-Tran van Trung
19860759420Power 16^2S4
21161040713Power 16^2S3
22561322006Power 16^2T1T1
24061603299Power 16^2T1
25661884592Power 16^2
27662509333Power N23^2T11
29962750507Power N23^2T10
32263004374Power N23^2T9
34563271603Power N23^2T8
36863552896Power N23^2T7
39163848994Power N23^2T6
41464160676Power N23^2T5
53064363360Power N23^2+1
53177790280Add a factor
53291217200Add a factor
55291761506Martirosyan-Tran van Trung
59892002681Martirosyan-Tran van Trung
64492256548Martirosyan-Tran van Trung
69092523778Martirosyan-Tran van Trung
73692805071Martirosyan-Tran van Trung
78293101170Martirosyan-Tran van Trung
82893412853Martirosyan-Tran van Trung
105893615531Martirosyan-Tran van Trung
106094057775Martirosyan-Tran van Trung
1062107484695Martirosyan-Tran van Trung
1128114064440Power N47^2T23
1222117393718Power N47^2T21
1316119483003Power N47^2T19
1410119989860Power N47^2T17
1504120271153Power N47^2T15
1598120567251Power N47^2T13
1692120878933Power N47^2T11
2210121081617Power N47^2+1
2300130561454Power 23^3T13T13
2530130779113Power 23^3T13T12
2783130996772Power 23^3T12T12
3036131225887Power 23^3T12T11
3312131455002Power 23^3T11T11
3588131696176Power 23^3T11T10
3887131937350Power 23^3T10T10
4186132191217Power 23^3T10T9
4508132445084Power 23^3T9T9
4761132655479Power 23^3T14
4830132712313Power 23^3T9T8
5290132862255Power 23^3T13
5819133079914Power 23^3T12
6348133309029Power 23^3T11
6877133550203Power 23^3T10
7406133804070Power 23^3T9
7935134071299Power 23^3T8
8464134352592Power 23^3T7
8993134648690Power 23^3T6
9522134960372Power 23^3T5
10000135162737perfect hash family21,12167,23,c fuse fuse fuse
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