Table for CAN(6,k,5) for k up to 10000

Last Updated Sun Nov 22 06:45:17 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;6,k,5) 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
715625orthogonal array
825000Xu-Ji-Dong
935762Density (Linnemann-Frewer) postop NCK
1044368Density (Colbourn) postop NCK
1153689IPOG-F (NIST) postop NCK
1262313IPOG-F (NIST) postop NCK
1370190IPOG-F (NIST)
1472681paintball (Kuhn)
1582139IPOG-F (NIST)
1687559IPOG-F (NIST)
1792701IPOG-F (NIST)
1897605IPOG-F (NIST)
19102208IPOG-F (NIST)
20106642IPOG-F (NIST)
21110842IPOG-F (NIST)
22114775IPOG-F (NIST)
23118587IPOG-F (NIST)
24122201IPOG-F (NIST)
25125683IPOG-F (NIST)
26162983Add a factor
30184245paintball (Kuhn)
31233945Add a factor
32283645Add a factor
33333345Add a factor
34380302Martirosyan-Tran van Trung
36391564Martirosyan-Tran van Trung
38398035Martirosyan-Tran van Trung
40402469Martirosyan-Tran van Trung
42413833Martirosyan-Tran van Trung
44420198Martirosyan-Tran van Trung
46426226Martirosyan-Tran van Trung
48432004Martirosyan-Tran van Trung
49494104Add a factor
50538974Martirosyan-Tran van Trung
52578330Martirosyan-Tran van Trung
54601516Martirosyan-Tran van Trung
56603472Martirosyan-Tran van Trung
58605236Martirosyan-Tran van Trung
60606996Martirosyan-Tran van Trung
61669096Add a factor
62685976Martirosyan-Tran van Trung
64737340Martirosyan-Tran van Trung
66788620Martirosyan-Tran van Trung
68837121Martirosyan-Tran van Trung
70849843Martirosyan-Tran van Trung
72871227Martirosyan-Tran van Trung
74879114Martirosyan-Tran van Trung
76941266Martirosyan-Tran van Trung
78947024Martirosyan-Tran van Trung
80948352Martirosyan-Tran van Trung
82960980Martirosyan-Tran van Trung
84980878Martirosyan-Tran van Trung
86994661Martirosyan-Tran van Trung
88995849Martirosyan-Tran van Trung
901003033Martirosyan-Tran van Trung
921004145Martirosyan-Tran van Trung
941011059Martirosyan-Tran van Trung
961012131Martirosyan-Tran van Trung
971109031Add a factor
981138499Martirosyan-Tran van Trung
1001184417Martirosyan-Tran van Trung
1051222612Power 16^2T2S14
1111228032Power 16^2T2S13
1201232085RBIBD
1221242910Power 16^2S13
1261244292Power 16^2T2S10
1271248330Power 16^2S12
1321249712Power 16^2T2S9
1331253750Power 16^2S11
1401255132Power 16^2T2S8
1411259339Power 16^2T6S2
1471260552Power 16^2T2S7
1481264590Power 16^2S9
1541264622Power 16^2T5T2
1551265972Power 16^2T2S6
1561270010Power 16^2S8
1601270179Power 16^2T6
1641271392Power 16^2T2S5
1681273246Power 16^2T4T2
1741276812Power 16^2T2S4
1761279500Power 16^2T5
1821281123Power 16^2T3T2
1851282232Power 16^2T2S3
1961283614Power 16^2T2T2
1971287652Power 16^2T2S2
1981291690Power 16^2S4
2101293072Power 16^2T2T1
2111297110Power 16^2S3
2241298492Power 16^2T2
2251302530Power 16^2T1T1
2401307950Power 16^2T1
2561313370Power 16^2
2721385358Power 17^2T1
2891390500Power 17^2
2901464060Power 17^2+1
2911514693Power 19^2S4
3041518456Power 19^2T3
3061518995Power 19^2T2T1
3071519296Power 19^2S3
3231523598Power 19^2T2
3241523899Power 19^2T1T1
3421528502Power 19^2T1
3611533105Power 19^2
3621599615Power 19^2+1
3631662615Power 19^2+2
3641721610Power 19^2+3
3671747163Power 23^2T4S4
3681747762Power 23^2T7
3701747785Power 23^2T3S5
3721748173Power 23^2T2S6
3731748294Power 23^2S8
3741749092Power 23^2T6T1
3781750063Power 23^2T5T2
3791750184Power 23^2T5S2
3801750466Power 23^2T4T3
3831750975Power 23^2T4S3
3861751597Power 23^2T3S4
3881751985Power 23^2T2S5
3891752106Power 23^2S7
3911752904Power 23^2T6
3961753996Power 23^2T5T1
3991754666Power 23^2T4T2
4001754787Power 23^2T4S2
4031755409Power 23^2T3S3
4051755797Power 23^2T2S4
4061755918Power 23^2S6
4141757808Power 23^2T5
4181758599Power 23^2T4T1
4201759100Power 23^2T3T2
4211759221Power 23^2T3S2
4231759609Power 23^2T2S3
4241759730Power 23^2S5
4371762411Power 23^2T4
4401763033Power 23^2T3T1
4411763300Power 23^2T2T2
4421763421Power 23^2T2S2
4431763542Power 23^2S4
4601766845Power 23^2T3
4621767233Power 23^2T2T1
4631767354Power 23^2S3
4831771045Power 23^2T2
4841771166Power 23^2T1T1
5061774978Power 23^2T1
5291778790Power 23^2
5301833000Power 23^2+1
5311871302Power 25^2S4
5501874322Power 25^2T3
5521874652Power 25^2T2T1
5531874784Power 25^2S3
5751878134Power 25^2T2
5761878266Power 25^2T1T1
6001881748Power 25^2T1
6251885230Power 25^2
6262036330Add a factor
6272187430Add a factor
6282338530Add a factor
6292489630Add a factor
6302640730Add a factor
6502683836Power 27^2T2T1
6672698002Power 29^2T6
6962701616Power 29^2T5
7252705098Power 29^2T4
7542742398Power 29^2T3
8422763660Power 29^2+1
8432914760Add a factor
8443065860Add a factor
8453216960Add a factor
8713360060Power 31^2S3
9003409760Power 31^2T1T1
9303459460Power 31^2T1
9613509160Power 31^2
9623660260Add a factor
9633811360Add a factor
9643962460Add a factor
9654113560Add a factor
9664199758Martirosyan-Colbourn
9684199879Martirosyan-Colbourn
9764203691Martirosyan-Colbourn
9924204960Power 32^2T1
10244254660Power 32^2
10404264695Martirosyan-Colbourn
10564266055Martirosyan-Colbourn
10584267599Martirosyan-Colbourn
10604321809Martirosyan-Colbourn
10624360111Martirosyan-Colbourn
10884363131Martirosyan-Colbourn
11004364591Martirosyan-Colbourn
11044364921Martirosyan-Colbourn
11064365053Martirosyan-Colbourn
11204368403Martirosyan-Colbourn
11244372627Martirosyan-Colbourn
11364373987Martirosyan-Colbourn
11504374667Martirosyan-Colbourn
11524374799Martirosyan-Colbourn
11604391137Martirosyan-Colbourn
11844391153Martirosyan-Colbourn
12004402465Martirosyan-Colbourn
12084420075Martirosyan-Colbourn
12164420139Martirosyan-Colbourn
12204421463Martirosyan-Colbourn
12324422143Martirosyan-Colbourn
12404422823Martirosyan-Colbourn
12484422839Martirosyan-Colbourn
12504424167Martirosyan-Colbourn
12514575267Add a factor
12524605267Martirosyan-Colbourn
12544756367Martirosyan-Colbourn
12564907467Martirosyan-Colbourn
14215005836Power 29^3T22T22
16245015211Power 29^3T22T21
18565024586Power 29^3T21T21
20305034579Power 29^3T22T19
20885035348Power 29^3T21T20
22335043900Power 29^3T22T18
23205043954Power 29^3T21T19
23495046110Power 29^3T20T20
24365052524Power 29^3T22T17
25525053275Power 29^3T21T18
26105054716Power 29^3T20T19
26395060401Power 29^3T22T16
27845061899Power 29^3T21T17
28425062892Power 29^3T22T15
29005063322Power 29^3T19T19
30165069776Power 29^3T21T16
32485072267Power 29^3T21T15
33935080538Power 29^3T20T16
34805081267Power 29^3T19T17
35095081964Power 29^3T18T18
36545083029Power 29^3T20T15
37125087145Power 29^3T21T13
37705089144Power 29^3T19T16
38285090588Power 29^3T18T17
40605091635Power 29^3T19T15
41765097191Power 29^3T21T11
44665100956Power 29^3T18T15
46405106228Power 29^3T21T9
46985107953Power 29^3T20T11
48725109580Power 29^3T17T15
49305111655Power 29^3T19T12
49595112556Power 29^3T20T10
51045114361Power 29^3T21T7
52205116559Power 29^3T19T11
52785117457Power 29^3T16T15
53365118173Power 29^3T21T6
56845119948Power 29^3T15T15
57425125123Power 29^3T20T7
58005125269Power 29^3T21T4
60035128935Power 29^3T20T6
60905129406Power 29^3T15T14
62645132549Power 29^3T20T5
63805133729Power 29^3T19T7
64965134826Power 29^3T15T13
65255136031Power 29^3T20T4
66705137541Power 29^3T19T6
66995139117Power 29^3T18T8
69025139968Power 29^3T15T12
69605141155Power 29^3T19T5
70185143050Power 29^3T18T7
72505144637Power 29^3T19T4
73085144872Power 29^3T15T11
73375146862Power 29^3T18T6
73955149426Power 29^3T14T12
77145149475Power 29^3T15T10
81205153909Power 29^3T15T9
85265158109Power 29^3T15T8
89325162042Power 29^3T15T7
93385165854Power 29^3T15T6
97445169468Power 29^3T15T5
100005172950Power 29^3T15T4
 Graph: