Table for CAN(6,k,17) for k up to 10000

Last Updated Tue Nov 21 02:19:04 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;6,k,17) 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
1824137569orthogonal array
1946771760extended OA (Colbourn)
2047045877orthogonal array fuse fuse
23709928335-Restricted SCPHF RE (CL)
25723291694-Restricted SCPHF RE (CL)
2772412673SCPHF Random Extension (CLS)
35937105455-Restricted SCPHF RE (CL)
38951303855-Restricted SCPHF RE (CL)
40964667214-Restricted SCPHF RE (CL)
4296550225SCPHF Random Extension (CLS)
531178480975-Restricted SCPHF RE (CL)
571192679375-Restricted SCPHF RE (CL)
621206042734-Restricted SCPHF RE (CL)
641206828813-Restricted SCPHF RE (CL)
651206875052-Restricted SCPHF RE (CL)
66120687777SCPHF Random Extension (CLS)
771405658095-Restricted SCPHF RE (CL)
861419856495-Restricted SCPHF RE (CL)
961434054895-Restricted SCPHF RE (CL)
1051447418254-Restricted SCPHF RE (CL)
1061448204333-Restricted SCPHF RE (CL)
1081448250572-Restricted SCPHF RE (CL)
1251647033615-Restricted SCPHF RE (CL)
177168962881SCPHF Random Extension (CLS)
178168962977CPHF Random Extension (CLS)
268193100433SCPHF Random Extension (CLS)
269302601377Add 1 factors
270347958193Add 2 factors
289386200849perfect hash family16,289,17,c
290386201088Power CT17^2+1
291495702032Add 1 factors
292541132832Add 2 factors
293585231920Add 3 factors
294607949632Add 4 factors
306630667105Add 17 factors
307630667344Add 17 factors
324703079762Power CT19^2T1T1
342725713953Power CT19^2T1
361748348144Power CT19^2
362752734016Power CT19^2+1
513772401681perfect hash family32,513,17,c
514772402176perfect hash family32,514,18
536900030660Martirosyan-TVT
620965502160perfect hash family5,620,268
6211100453600Add 1 factors
6251157266688Power CT25^2
6751158519248Power CT27^2T2
7541158602592perfect hash family6,754,268
7551294811760Add 1 factors
7601300778948Power N-CT41^2T21T3
7791301924671Power N-CT41^2T22
7811302031780Power N-CT41^2Arc(2)T21
8001302115284Power N-CT41^2T21T1
8201302198788Power N-CT41^2T21
8821323306064Power N-CT41^2Trin3,6,14
9241324642400Power N-CT41^2Trin1,6,14
9541324725904Power N-CT41^2Trin3,3,14
10021326062240Power N-CT41^2Trin1,3,14
10261326145744Power N-CT41^2T14T3
10291327315072Power N-CT41^2Arc(3)T14
10541327398576Power N-CT41^2Arc(2)T14
10801327482080Power N-CT41^2T14T1
11071327565584Power N-CT41^2T14
11381344603936Power N-CT41^2Trin3,6,6
11961345940272Power N-CT41^2Trin1,6,6
12341346023776Power N-CT41^2Trin3,3,6
12981347360112Power N-CT41^2Trin1,3,6
13391347443616Power N-CT41^2Trin3,3,3
13661348696448Power N-CT41^2Arc(2)T6
14091348779952Power N-CT41^2Trin1,3,3
14441348863456Power N-CT41^2T3T3
14471350032784Power N-CT41^2Arc(3)T3
14831350116288Power N-CT41^2Arc(2)T3
15201350199792Power N-CT41^2T3T1
15581350283296Power N-CT41^2T3
15611351452624Power N-CT41^2Arc(3)
16001351536128Power N-CT41^2T1T1
16401351619632Power N-CT41^2T1
16821351703136Power N-CT41^2+1
16831510699376Add 1 factors
17231585979728Power N-CT43^2Arc(3)
17641607277600Power N-CT43^2T1T1
18551625735792Power N-CT53^2T18
20141627155632Power N-CT53^2T15
21201628491968Power N-CT53^2T13
22261628575472Power N-CT53^2T11
28091649873344Power N-CT53^2
28131669751104perfect hash family14,2813,57
29191683030960Power N-CT59^2Trin2,2,6
30211684367296Power N-CT59^2T6T2
31391684450800Power N-CT59^2Trin2,2,2
32331685703632Power N-CT61^2T8
32491685787136Power N-CT59^2T2T2
34771687123472Power N-CT61^2T4
37221688459808Power N-CT61^2+1
37241689560320Power N-CT61^2+3
37251689625056perfect hash family14,3725,65
37261689628864perfect hash family14,3726,66
37511729384928Power N-CT67^2Arc(12)
38071749262960Power N-CT67^2Arc(11)
38251767716512Power N-CT73^2Trin7,7,9
38261767720864Power N-CT73^2Trin7,8,8
38841767721136Power N-CT73^2Trin7,7,8
39431767721408Power N-CT73^2Trin7,7,7
39681787511040Power N-CT73^2T11T9
40301787515664Power N-CT73^2T11T8
40921787515936Power N-CT73^2T11T7
40961787589648Power N-CT73^2T9T9
41601787594272Power N-CT73^2T9T8
42241787594544Power N-CT73^2T9T7
42251787598896Power N-CT73^2T8T8
42901787599168Power N-CT73^2T8T7
43561787599440Power N-CT73^2T7T7
45261807393968Power N-CT73^2T11
46721807472576Power N-CT73^2T9
47451807477200Power N-CT73^2T8
48181807477472Power N-CT73^2T7
48791821675600Power N-CT79^2Trin2,2,14
49541821675872Power N-CT79^2Trin2,2,13
50051823095440Power N-CT79^2T14T2
50821823095712Power N-CT79^2T13T2
51461824432048Power N-CT83^2T21
53121824510656Power N-CT83^2T19
53951824515280Power N-CT83^2T18
54781824515552Power N-CT83^2T17
54871838713952Power N-CT89^2Trin3,3,23
55041840128896Power N-CT89^2T25T3
55901840133520Power N-CT89^2T24T3
56761840133792Power N-CT89^2T23T3
56961841548736Power N-CT89^2T25
57851841553360Power N-CT89^2T24
58741841553632Power N-CT89^2T23
59291842973744Power N-CT79^2T2T2
63911844393584Power N-CT83^2T6
68921845813424Power N-CT83^2+3
69551858588176perfect hash family13,11449,107T42
70621858588448perfect hash family13,11449,107T41
71471860011824Power N-CT89^2Trin3,3,3
73961861431664Power N-CT89^2T3T3
76541862851504Power N-CT89^2T3
80581862935008Power N-CT97^2Arc(13)T2
82261864271344Power N-CT97^2Arc(13)
83111865607680Power N-CT97^2Arc(12)
83971866944016Power N-CT97^2Arc(11)
84841868280352Power N-CT97^2Arc(10)
85721869616688Power N-CT97^2Arc(9)
86611870953024Power N-CT97^2Arc(8)
87511872289360Power N-CT97^2Arc(7)
88421873625696Power N-CT97^2Arc(6)
89341874962032Power N-CT97^2Arc(5)
90271876298368Power N-CT97^2Arc(4)
91211877634704Power N-CT97^2Arc(3)
92161878971040Power N-CT97^2T1T1
98881880307376perfect hash family13,10609,103T7
100001881306160perfect hash family13,11449,107T11
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