Table for CAN(5,k,7) for k up to 10000

Last Updated Wed Jun 6 17:38:18 MST 2018

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,7) 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
816807orthogonal array
927639orthogonal array fuse postop NCK
12312134-Restricted SCPHF RE (CL)
13332713-Restricted SCPHF RE (CL)
14335652-Restricted SCPHF RE (CL)
19480134-Restricted SCPHF RE (CL)
20500713-Restricted SCPHF RE (CL)
21503652-Restricted SCPHF RE (CL)
2250419CPHF Random Extension (CLS)
27624194-Restricted SCPHF RE (CL)
29648134-Restricted SCPHF RE (CL)
31668713-Restricted SCPHF RE (CL)
39792194-Restricted SCPHF RE (CL)
43816134-Restricted SCPHF RE (CL)
46836713-Restricted SCPHF RE (CL)
4784007SCPHF Random Extension (CLS)
50936254-Restricted SCPHF RE (CL)
59960194-Restricted SCPHF RE (CL)
61984134-Restricted SCPHF RE (CL)
671004713-Restricted SCPHF RE (CL)
761104254-Restricted SCPHF RE (CL)
821128194-Restricted SCPHF RE (CL)
881152134-Restricted SCPHF RE (CL)
961172713-Restricted SCPHF RE (CL)
991175652-Restricted SCPHF RE (CL)
1121272254-Restricted SCPHF RE (CL)
1211296194-Restricted SCPHF RE (CL)
1321320134-Restricted SCPHF RE (CL)
1401340713-Restricted SCPHF RE (CL)
1481343652-Restricted SCPHF RE (CL)
149134407SCPHF Random Extension (CLS)
1571440254-Restricted SCPHF RE (CL)
1791464194-Restricted SCPHF RE (CL)
1951488134-Restricted SCPHF RE (CL)
2011508713-Restricted SCPHF RE (CL)
2051511652-Restricted SCPHF RE (CL)
209151207SCPHF Random Extension (CLS)
211151255CPHF Random Extension (CLS)
2301608254-Restricted SCPHF RE (CL)
2531632194-Restricted SCPHF RE (CL)
2841656134-Restricted SCPHF RE (CL)
3151676713-Restricted SCPHF RE (CL)
318168061CPHF Random Extension (CLS)
3411776254-Restricted SCPHF RE (CL)
3611800194-Restricted SCPHF RE (CL)
4181824134-Restricted SCPHF RE (CL)
4471844713-Restricted SCPHF RE (CL)
4511847652-Restricted SCPHF RE (CL)
454184807SCPHF Random Extension (CLS)
455184867CPHF Random Extension (CLS)
4951944254-Restricted SCPHF RE (CL)
5461968194-Restricted SCPHF RE (CL)
5921992134-Restricted SCPHF RE (CL)
6282012713-Restricted SCPHF RE (CL)
6602015652-Restricted SCPHF RE (CL)
661201607SCPHF Random Extension (CLS)
662279517Add 1 factors
663323323Add 2 factors
664337729Add 3 factors
667352093Add 7 factors
668352135Add 7 factors
6753808624-Restricted SCPHF RE (CL) fuse
7493849504-Restricted SCPHF RE (CL) fuse
750464624Add 1 factors
751510194Add 2 factors
752524600Add 3 factors
788530648Martirosyan-Colbourn
836532412Martirosyan-Colbourn
894534470Martirosyan-Colbourn
902534764Martirosyan-Colbourn
908534806Martirosyan-Colbourn
910534866Martirosyan-Colbourn
914544424Martirosyan-Colbourn
950544676Martirosyan-Colbourn
990552992Martirosyan-Colbourn
1054555386Martirosyan-Colbourn
1092557402Martirosyan-Colbourn
1102559796Martirosyan-Colbourn
1184561812Martirosyan-Colbourn
1256563870Martirosyan-Colbourn
1262564164Martirosyan-Colbourn
1320565928Martirosyan-Colbourn
1322565970Martirosyan-Colbourn
1324643880Martirosyan-Colbourn
1326687686Martirosyan-Colbourn
1328702092Martirosyan-Colbourn
1334716456Martirosyan-Colbourn
1336716498Martirosyan-Colbourn
1447727326Power N-CT41^2Trin2,2,2
1521729720Power N-CT41^2T2T2
1677732114Power N-CT43^2T4
1849734508Power N-CT43^2
1855752316Power N-CT47^2Arc(4)T4
1895752652Power N-CT47^2Arc(3)T4
1936752988Power N-CT47^2Arc(2)T4
1978753324Power N-CT47^2T4T1
2021753660Power N-CT47^2T4
2027754710Power N-CT47^2Arc(4)
2071755046Power N-CT47^2Arc(3)
2116755382Power N-CT47^2T1T1
2162755718Power N-CT47^2T1
2209756054Power N-CT47^2
2235788280perfect hash family4,3125,625T178
2255788574perfect hash family4,3125,625T174
2270788616perfect hash family4,3125,625T171
2275788676perfect hash family4,3125,625T170
2475798234perfect hash family4,3125,625T130
2730800628perfect hash family4,3125,625T79
2960803022perfect hash family4,3125,625T33
3125805080perfect hash family4,3125,625
3481864162Power N-CT59^2
3599883314Power N-CT61^2T2
3721885708Power N-CT61^2
3953899778Power N-CT67^2T8
4087902172Power N-CT67^2T6
4489904230Power N-CT67^2
4891983862Power N-CT73^2T6
5332993816Power N-CT73^2+3
55571008180Power N-CT79^2Trin3,3,3
57761010574Power N-CT79^2T3T3
60301012968Power N-CT83^2Arc(9)T2
62441015362Power N-CT79^2+3
62531017756Power N-CT83^2Arc(8)
63291020150Power N-CT83^2Arc(7)
64061022544Power N-CT83^2Arc(6)
64841024938Power N-CT83^2Arc(5)
65631027332Power N-CT83^2Arc(4)
66431029726Power N-CT83^2Arc(3)
67241032120Power N-CT83^2T1T1
68061034514Power N-CT83^2T1
69961034850Power N-CT89^2Arc(9)T2
71561036908Power N-CT89^2Arc(9)
72371038966Power N-CT89^2Arc(8)
73191041024Power N-CT89^2Arc(7)
74021043082Power N-CT89^2Arc(6)
74861045140Power N-CT89^2Arc(5)
75711047198Power N-CT89^2Arc(4)
76571049256Power N-CT89^2Arc(3)
77441051314Power N-CT89^2T1T1
77911052742Power N-CT97^2Arc(2)T15
78721053036Power N-CT97^2T15T1
79541053330Power N-CT97^2T15
80231053960Power N-CT97^2Arc(6)T9
81061054254Power N-CT97^2Arc(5)T9
81901054548Power N-CT97^2Arc(4)T9
82751054842Power N-CT97^2Arc(3)T9
83961055136Power N-CT97^2Arc(9)T2
85721055430Power N-CT97^2Arc(9)
86611055724Power N-CT97^2Arc(8)
87511056018Power N-CT97^2Arc(7)
88421056312Power N-CT97^2Arc(6)
89341056606Power N-CT97^2Arc(5)
90271056900Power N-CT97^2Arc(4)
91211057194Power N-CT97^2Arc(3)
92161057488Power N-CT97^2T1T1
93121057782Power N-CT97^2T1
94111058076Power N-CT97^2+2
96071116036Power N-CT101^2Trin2,2,2
98011125696Power N-CT101^2T2T2
100001135062perfect hash family9,11449,107T11
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