Table for CAN(6,k,13) 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,13) 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
144826809orthogonal array
159253764extended OA (Colbourn)
1613709280Add a factor
1716777210orthogonal array fuse fuse fuse
1819307232perfect hash family4,18,14
2823762752Martirosyan-Tran van Trung
2934914724Add a factor
3047910304Add a factor
3253094888perfect hash family11,32,14
3457921696perfect hash family12,34,14
3762748504perfect hash family13,37,14
4067575312perfect hash family14,40,14
4372402120perfect hash family15,43,14
6577228749perfect hash family16,65,13,c
6677228928perfect hash family16,66,14
6798478156Add a factor
68106189776perfect hash family22,68,14
69111016321perfect hash family23,69,13,c
70111016584perfect hash family23,70,14
71121898331perfect hash family17,120,15S8
76126325286perfect hash family17,120,15S7
81130752241perfect hash family17,120,15S6
86135179196perfect hash family17,120,15S5
92139606151perfect hash family17,120,15S4
100143633253Power 16^2T2S15
106148060208Power 16^2S16
120148060224RBIBD
122161426756Power 16^2S13
127165882272Power 16^2S12
133170337788Power 16^2S11
140174793304Power 16^2S10
148179248820Power 16^2S9
156183704336Power 16^2S8
165188159852Power 16^2S7
175192615368Power 16^2S6
186197070884Power 16^2S5
198201526400Power 16^2S4
211205981916Power 16^2S3
225210437432Power 16^2T1T1
240214892948Power 16^2T1
256219348464Power 16^2
257252644012Add a factor
272265367414Power 17^2T1
289268435344Power 17^2
290301730892Add a factor
291335026440Add a factor
308349455723Power N29^2T12S14
325351985745Power N29^2T11S14
502356441265Power N29^2S15
519367593237Power N29^2S14
537378745209Power N29^2S13
730380204016Power 27^2+1
731426131820Add a factor
732472059624Add a factor
757490264929Power N29^2S3
784501416901Power N29^2T1T1
812512568873Power N29^2T1
841523720845Power N29^2
842573153033Add a factor
843622585221Add a factor
844672017409Add a factor
845721449597Add a factor
868767091169Power N31^2T3
870773058557Power N31^2T2T1
899778243141Power N31^2T2
900786054137Power N31^2T1T1
930791238721Power N31^2T1
962796423305Power N31^2+1
963845855493Add a factor
1024849518192Power 32^2
1038867532116Martirosyan-Tran van Trung
1048878684088Martirosyan-Tran van Trung
1064878806392Martirosyan-Tran van Trung
1074878821680Martirosyan-Tran van Trung
1172880280487Martirosyan-Tran van Trung
1228880463943Martirosyan-Tran van Trung
1232880632111Martirosyan-Tran van Trung
1248880647399Martirosyan-Tran van Trung
1284882717831Martirosyan-Tran van Trung
1340882901287Martirosyan-Tran van Trung
1352883084743Martirosyan-Tran van Trung
1360883962267Martirosyan-Tran van Trung
1460892372515Martirosyan-Tran van Trung
1461941804703Add a factor
1462957598767Martirosyan-Tran van Trung
1486989495626Power N41^2S5
1523994322434Power N41^2S4
1561999149242Power N41^2S3
16001003976050Power N41^2T1T1
17201008802858Power N43^2T3
18491013629666Power N43^2
19521057068611Power N61^2T29
20741061895419Power N61^2T27
22571066722227Power N61^2T24
24401071549035Power N61^2T21
26231076375843Power N61^2T18
37241081202472Power N61^2+3
37511123703434Power N67^2S12
38071144952662Power N67^2S11
38641166201890Power N67^2S10
39221187451118Power N67^2S9
39811208700346Power N67^2S8
40411229949574Power N67^2S7
40971235659789perfect hash family256,4097,13,c
40981235662832Power 64^2+2
41021251198802Power N67^2S6
41641272448030Power N67^2S5
42271293697258Power N67^2S4
42911314946486Power N67^2S3
43561336195714Power N67^2T1T1
44221357444942Power N67^2T1
44891378694170Power N67^2
50401442135898Power 31^3T17S30
54001446562853Power 31^3T16S30
57581451018369Power 31^3T15S30
61191454086299Power 31^3T14S30
64771456616321Power 31^3T13S30
100001461071841Power 31^3T3S30
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