Table for CAN(6,k,13) for k up to 10000

Last Updated Mon May 9 06:41:48 MST 2016

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 1 factors
1716777210orthogonal array fuse fuse fuse
1819307232perfect hash family4,18,14
2622648873double OA (Colbourn-Zhou)
2823017969double OA (Colbourn-Zhou)
2936013549Add 1 factors
3044581849Add 2 factors
3150652000Add 13 factors
3253094888perfect hash family11,32,14
3355074565Add 13 factors
3455390933Add 13 factors
3555707301Add 13 factors
3655944577Add 13 factors
3856181853Add 13 factors
3960189337Add 13 factors
4060584797Add 13 factors
4160901165Add 13 factors
4372402120perfect hash family15,43,14
6577228749perfect hash family16,65,13,c
6677228928perfect hash family16,66,14
6795050524Add 1 factors
68103959528Add 2 factors
69111016321perfect hash family23,69,13,c
70111016584perfect hash family23,70,14
73121414345Add 13 factors
78121438681Add 13 factors
79121438860Add 13 factors
81130752241perfect hash family17,120,15S6
86135179196perfect hash family17,120,15S5
112139406225Power CT16^2Arc(18):9 twos,0 ones
120148060208Power CT16^2Arc(16)
121152515724Power CT16^2Arc(15)
123156971240Power CT16^2Arc(14)
126161426756Power CT16^2Arc(13)
130165882272Power CT16^2Arc(12)
135170337788Power CT16^2Arc(11)
141174793304Power CT16^2Arc(10)
148179248820Power CT16^2Arc(9)
156183704336Power CT16^2Arc(8)
165188159852Power CT16^2Arc(7)
175192615368Power CT16^2Arc(6)
186197070884Power CT16^2Arc(5)
198201526400Power CT16^2Arc(4)
211205981916Power CT16^2Arc(3)
225210437432Power CT16^2T1T1
240214892948Power CT16^2T1
256219348464Power CT16^2
257251035964Add 1 factors
272265367414Power CT17^2T1
289268435344Power CT17^2
290301071948Add 1 factors
291317890152Add 2 factors
292328673028Add 3 factors
293333128544Add 4 factors
296335985635Martirosyan-TVT
300337267692Add 13 factors
302337584060Add 13 factors
308339028761Power N-CT29^2T12S14
312340441151Martirosyan-TVT
325341558783Power N-CT29^2T11S14
350344559888Power CT25^2T11
466344900424Power N-CT29^2T3S14
511345269520Power N-CT29^2Arc(15)
526358265100Power N-CT29^2Arc(14)
626362381952Power CT25^2+1
627366811104Power CT27^2Arc(4)
651367180200Power CT27^2Arc(3)
676367549296Power CT27^2T1T1
702367918392Power CT27^2T1
730368287488Power CT27^2+1
731410761452Add 1 factors
732431668104Add 2 factors
733444349188Add 3 factors
734448804704Add 4 factors
743453260220Add 13 factors
744495734184Add 13 factors
757501216480Power N-CT29^2Arc(3)
784514212060Power N-CT29^2T1T1
812527207640Power N-CT29^2T1
841540203220Power N-CT29^2
842582699648Add 1 factors
843603630636Add 2 factors
844616311720Add 3 factors
845620767236Add 4 factors
854625222752Add 13 factors
855667719180Add 13 factors
856688650168Add 13 factors
857701331252Add 13 factors
858705786768Add 13 factors
867710242284Add 13 factors
868732145954Power N-CT31^2T3
870739071383Power N-CT31^2T2T1
871741569532Power N-CT31^2Arc(3)
899745141534Power N-CT31^2T2
900747639683Power N-CT31^2T1T1
930753709834Power N-CT31^2T1
961759779985Power N-CT31^2
962796423305Power N-CT31^2+1
989805294476Power N-CT41^2Trin3,3,13
1014809301960Power N-CT41^2Trin2,3,13
1036809563896Power N-CT37^2T9
1039809697420Power N-CT41^2Trin1,3,13
1064810013788Power N-CT41^2T13T3
1066813704904Power N-CT41^2Trin1,2,13
1067813783996Power N-CT41^2Arc(3)T13
1092814021272Power N-CT41^2T13T2
1093814100364Power N-CT41^2Arc(2)T13
1120814416732Power N-CT41^2T13T1
1148814733100Power N-CT41^2T13
1160827412312Power N-CT41^2T12T1
1189827728680Power N-CT41^2T12
1200835980612Power N-CT41^2T11T1
1230836296980Power N-CT41^2T11
1234837983808Power N-CT41^2Trin3,3,6
1269838221084Power N-CT41^2Trin3,3,5
1339838458360Power N-CT41^2Trin3,3,3
1374842465844Power N-CT41^2Trin2,3,3
1409842861304Power N-CT41^2Trin1,3,3
1444843177672Power N-CT41^2T3T3
1446846868788Power N-CT41^2Trin1,2,3
1447846947880Power N-CT41^2Arc(3)T3
1482847185156Power N-CT41^2T3T2
1483847264248Power N-CT41^2Arc(2)T3
1520847580616Power N-CT41^2T3T1
1558847896984Power N-CT41^2T3
1560851588100Power N-CT41^2T2T1
1561851667192Power N-CT41^2Arc(3)
1599851904468Power N-CT41^2T2
1600851983560Power N-CT41^2T1T1
1640852299928Power N-CT41^2T1
1681852616296Power N-CT41^2
1682898514148Add 1 factors
1683919445136Add 2 factors
1684932126220Add 3 factors
1685936581736Add 4 factors
1694941037252Add 13 factors
1695986935104Add 13 factors
17201001812343Power N-CT43^2T3
17631002128711Power N-CT43^2T2
18491013629666Power N-CT43^2
18911054625723Power N-CT61^2T30
19521057068611Power N-CT61^2T29
20131059048288Power N-CT61^2T28
20741059364656Power N-CT61^2T27
21351059681024Power N-CT61^2T26
21961059918300Power N-CT61^2T25
23181060155576Power N-CT61^2T23
23791064163060Power N-CT61^2T22
24401064558520Power N-CT61^2T21
25011064874888Power N-CT61^2T20
26231076375843Power N-CT61^2T18
37241081202472Power N-CT61^2+3
37511116848170Power N-CT67^2Arc(12)
38071134669766Power N-CT67^2Arc(11)
38641152491362Power N-CT67^2Arc(10)
39221170312958Power N-CT67^2Arc(9)
39811188134554Power N-CT67^2Arc(8)
40411205956150Power N-CT67^2Arc(7)
41021223777746Power N-CT67^2Arc(6)
41641241599342Power N-CT67^2Arc(5)
42271259420938Power N-CT67^2Arc(4)
42911277242534Power N-CT67^2Arc(3)
43561295064130Power N-CT67^2T1T1
44221312885726Power N-CT67^2T1
44891330707322Power N-CT67^2
50401342282248Power CT31^3T17S30
54001346709203Power CT31^3T16S30
57581351164719Power CT31^3T15S30
61191354232649Power CT31^3T14S30
64771356762671Power CT31^3T13S30
93511360104312Power CT31^3T5S30
100001360473408Power CT31^3T3S30
 Graph: