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

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,6) 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
746656composition
8103446extend by one factor
9160236extend by one factor
10217350composition
11257922composition
12307326Martirosyan-Tran van Trung
14365077Martirosyan-Tran van Trung
16451144Martirosyan-Tran van Trung
17594964extend by one factor
18703267Martirosyan-Tran van Trung
19847087extend by one factor
20854139Martirosyan-Tran van Trung
211029369extend by one factor
221049256Martirosyan-Tran van Trung
241142650Martirosyan-Tran van Trung
261295199Martirosyan-Tran van Trung
281356751Martirosyan-Tran van Trung
301482353Martirosyan-Tran van Trung
321498086Martirosyan-Tran van Trung
331726026extend by one factor
341821924Martirosyan-Tran van Trung
361963406Martirosyan-Tran van Trung
372204726extend by one factor
382290963Martirosyan-Tran van Trung
402393723Martirosyan-Tran van Trung
422613332Martirosyan-Tran van Trung
442664668Martirosyan-Tran van Trung
462787751Martirosyan-Tran van Trung
482816742Martirosyan-Tran van Trung
503010662Martirosyan-Tran van Trung
523037916Martirosyan-Tran van Trung
543139301Martirosyan-Tran van Trung
563160029Martirosyan-Tran van Trung
583291321Martirosyan-Tran van Trung
603296846Martirosyan-Tran van Trung
623378564Martirosyan-Tran van Trung
643400493Martirosyan-Tran van Trung
653708953extend by one factor
663877888Martirosyan-Tran van Trung
683980309Martirosyan-Tran van Trung
704159549Martirosyan-Tran van Trung
724180909Martirosyan-Tran van Trung
744501834Martirosyan-Tran van Trung
764594256Martirosyan-Tran van Trung
784716112Martirosyan-Tran van Trung
804734607Martirosyan-Tran van Trung
825001886Martirosyan-Tran van Trung
845020247Martirosyan-Tran van Trung
865124532Martirosyan-Tran van Trung
885141436Martirosyan-Tran van Trung
905281776Martirosyan-Tran van Trung
925298616Martirosyan-Tran van Trung
945468799Martirosyan-Tran van Trung
965508223Martirosyan-Tran van Trung
985786971Martirosyan-Tran van Trung
1005817512Martirosyan-Tran van Trung
1025885062Martirosyan-Tran van Trung
1045898502Martirosyan-Tran van Trung
1086015762Martirosyan-Tran van Trung
1106073595Martirosyan-Tran van Trung
1126084155Martirosyan-Tran van Trung
1136458645extend by one factor
1146504545Martirosyan-Tran van Trung
1166515041Martirosyan-Tran van Trung
1186537243Martirosyan-Tran van Trung
1206547903Martirosyan-Tran van Trung
1226656000Martirosyan-Tran van Trung
1246665184Martirosyan-Tran van Trung
1266705475Martirosyan-Tran van Trung
1286716135Martirosyan-Tran van Trung
1307056281Martirosyan-Tran van Trung
2567218289Power 16^2
2577885819extend by one factor
2588553349extend by one factor
2599228559extend by one factor
2899519409Power 17^2
29010207639extend by one factor
29110896649extend by one factor
29211585659extend by one factor
29312275659extend by one factor
29412965659extend by one factor
29613113358Martirosyan-Tran van Trung
29813127074Martirosyan-Tran van Trung
30013131026Martirosyan-Tran van Trung
30213401480Martirosyan-Tran van Trung
30413406680Martirosyan-Tran van Trung
30613447755Martirosyan-Tran van Trung
30813508271Martirosyan-Tran van Trung
31013514304Martirosyan-Tran van Trung
31213519868Martirosyan-Tran van Trung
31413533062Martirosyan-Tran van Trung
31613538198Martirosyan-Tran van Trung
31813544459Martirosyan-Tran van Trung
32013549167Martirosyan-Tran van Trung
36113553377Power 19^2
36213666209Power 20^2
36314399409extend by one factor
51214436577perfect hash family
51315384187extend by one factor
51416333567extend by one factor
51517282947extend by one factor
51617959340Martirosyan-Tran van Trung
53018282385Power 24^2
53219107787Martirosyan-Tran van Trung
53619113606Martirosyan-Tran van Trung
54019124209Martirosyan-Tran van Trung
54419133109Martirosyan-Tran van Trung
54819150423Martirosyan-Tran van Trung
55219157760Martirosyan-Tran van Trung
55619166344Martirosyan-Tran van Trung
56019173681Martirosyan-Tran van Trung
56419188443Martirosyan-Tran van Trung
56819194768Martirosyan-Tran van Trung
57219205246Martirosyan-Tran van Trung
57619211824Martirosyan-Tran van Trung
57819355502Martirosyan-Tran van Trung
57920320782extend by one factor
62620723169Power 26^2
73021708001Power 28^2
84222235281linear hash family
96222471276linear hash family
96323571376extend by one factor
102423969361Power 32^2
102525076931extend by one factor
102626184501extend by one factor
102727292071extend by one factor
102828399641extend by one factor
102929507211extend by one factor
103030614781extend by one factor
103231390846Martirosyan-Tran van Trung
103631715591Martirosyan-Tran van Trung
104031727351Martirosyan-Tran van Trung
104831735766Martirosyan-Tran van Trung
105031737266Martirosyan-Tran van Trung
105631750226Martirosyan-Tran van Trung
106031763496Martirosyan-Tran van Trung
106432588898Martirosyan-Tran van Trung
107232606667Martirosyan-Tran van Trung
107832621580Martirosyan-Tran van Trung
108032634300Martirosyan-Tran van Trung
108832646010Martirosyan-Tran van Trung
109232674954Martirosyan-Tran van Trung
109632686474Martirosyan-Tran van Trung
110432695261Martirosyan-Tran van Trung
110632706745Martirosyan-Tran van Trung
111232763865Martirosyan-Tran van Trung
112032772652Martirosyan-Tran van Trung
112832902808Martirosyan-Tran van Trung
113432910383Martirosyan-Tran van Trung
136933070876linear hash family
137034302436extend by one factor
137135533996extend by one factor
137235905831linear hash family
168236586635linear hash family
185037305339linear hash family
185138691549extend by one factor
185239028501linear hash family
221039434375linear hash family
221140828475extend by one factor
221242149255linear hash family
221442530811linear hash family
221543924911extend by one factor
281043950201linear hash family
281244240393linear hash family
281345832613extend by one factor
281446078481linear hash family
348246155831linear hash family
1000046440636Power 31^3
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