Table for CAN(5,k,10) for k up to 10000

Last Updated Fri Sep 15 07:41:46 MST 2017

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,10) 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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6100000Derive from strength 6
8132547Add a symbol postop NCK
9144071Add a symbol postop NCK
10153884orthogonal array fuse postop NCK
11157819orthogonal array fuse postop NCK
12159639orthogonal array fuse postop NCK
13265415extended OA (Colbourn) special fuse postop NCK
14301504orthogonal array fuse fuse fuse postop NCK
15307459Quad-Restricted SCPHF RE (C) fuse
16320769Tri-Restricted SCPHF RE (C) fuse
17322089SCPHF Random Extension (CLS) fuse
25468499Quad-Restricted SCPHF RE (C) fuse
26481809Tri-Restricted SCPHF RE (C) fuse
27483019Path-Restricted SCPHF RE (C) fuse
28483129SCPHF Random Extension (CLS) fuse
29483149CPHF Random Extension (CLS) fuse
36614909Quad-Restricted SCPHF RE (C) fuse
42629539Quad-Restricted SCPHF RE (C) fuse
46642849Tri-Restricted SCPHF RE (C) fuse
47644169SCPHF Random Extension (CLS) fuse
61775949Quad-Restricted SCPHF RE (C) fuse
66790579Quad-Restricted SCPHF RE (C) fuse
74805209SCPHF Random Extension (CLS) fuse
76805249CPHF Random Extension (CLS) fuse
82922359Quad-Restricted SCPHF RE (C) fuse
100936989Quad-Restricted SCPHF RE (C) fuse
107951619Quad-Restricted SCPHF RE (C) fuse
120966249SCPHF Random Extension (CLS) fuse
127966299CPHF Random Extension (CLS) fuse
1421083399Quad-Restricted SCPHF RE (C) fuse
1581098029Quad-Restricted SCPHF RE (C) fuse
1791112659Quad-Restricted SCPHF RE (C) fuse
2011127289SCPHF Random Extension (CLS) fuse
2051127349CPHF Random Extension (CLS) fuse
2201244439Quad-Restricted SCPHF RE (C) fuse
2441259069Quad-Restricted SCPHF RE (C) fuse
2841273699Quad-Restricted SCPHF RE (C) fuse
3401288329SCPHF Random Extension (CLS) fuse
3421288399CPHF Random Extension (CLS) fuse
5291449369SCPHF Random Extension (CLS) fuse
5331449449CPHF Random Extension (CLS) fuse
7281610409SCPHF Random Extension (CLS) fuse
7292136639Add 1 factors
7302408439Add 2 factors
7322653981Add 4 factors
7332704182Add 5 factors
7392898509Add 11 factors
7403424739Add 11 factors
7413696539Add 11 factors
7433942081Add 11 factors
7443992282Add 11 factors
7504186609Add 11 factors
7924348104perfect hash family3,792,529
7944348264perfect hash family3,798,533T4
7984348344perfect hash family3,798,533
14765651212Power N-CT41^2T5
16825665842Power N-CT41^2+1
16835732392Power N-CT43^2Arc(4)
17235745702Power N-CT43^2Arc(3)
17645759012Power N-CT43^2T1T1
18065772322Power N-CT43^2T1
18125777602Power N-CT47^2Arc(4)T5
18515778922Power N-CT47^2Arc(3)T5
18915780242Power N-CT47^2Arc(2)T5
19325781562Power N-CT47^2T5T1
19745782882Power N-CT47^2T5
19845790912Power N-CT47^2Arc(5)
20275792232Power N-CT47^2Arc(4)
20715793552Power N-CT47^2Arc(3)
21165794872Power N-CT47^2T1T1
21625796192Power N-CT47^2T1
22095797512Power N-CT47^2
26456280592perfect hash family4,3125,625T96
26656280672perfect hash family4,3125,625T92
31256441632perfect hash family4,3125,625
37216983532Power N-CT61^2
38067100572Power N-CT67^2Arc(9)T2
39227115202Power N-CT67^2Arc(9)
39817129832Power N-CT67^2Arc(8)
40417144462Power N-CT67^2Arc(7)
41027159092Power N-CT67^2Arc(6)
41647173722Power N-CT67^2Arc(5)
42277188352Power N-CT67^2Arc(4)
42917202982Power N-CT67^2Arc(3)
44537217612Power N-CT73^2T12
48187232242Power N-CT73^2T7
53307246872Power N-CT73^2+1
53327247232Power N-CT73^2+3
54117949852Power N-CT79^2Trin3,3,5
55577949892Power N-CT79^2Trin3,3,3
56248066962Power N-CT79^2T5T3
57768067002Power N-CT79^2T3T3
58468184072Power N-CT79^2T5
60048184112Power N-CT79^2T3
60108242632Power N-CT83^2Arc(4)T7
60838257262Power N-CT83^2Arc(3)T7
61088271852Power N-CT101^2Arc(9)T35
61578271892Power N-CT83^2Arc(2)T7
68448286482Power N-CT101^2Arc(9)T27
70288286522Power N-CT101^2Arc(9)T25
71788301112Power N-CT97^2T23
73728301152Power N-CT97^2T21
73788359672Power N-CT101^2Arc(4)T25
74518374302Power N-CT101^2Arc(3)T25
75258388932Power N-CT101^2Arc(2)T25
76008403562Power N-CT101^2T25T1
79188418152perfect hash family9,11449,107T33
81328418192perfect hash family9,11449,107T31
91448418262Power N-CT101^2Arc(9)T2
94128432892Power N-CT97^2+3
94218447522Power N-CT101^2Arc(8)
95158462152Power N-CT101^2Arc(7)
96108476782Power N-CT101^2Arc(6)
97068491412Power N-CT101^2Arc(5)
98038506042Power N-CT101^2Arc(4)
99018520672Power N-CT101^2Arc(3)
100008535302Power N-CT101^2T1T1