Table for CAN(6,k,14) 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,14) 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
77529536composition
88732479Add a symbol
99404208Add a symbol
1010127608Add a symbol
1110906654Add a symbol
1211745627Add a symbol
1312649136Add a symbol
1413622146Add a symbol
1716777212orthogonal array fuse fuse
1824137563orthogonal array fuse fuse fuse
1936064387Add a factor
2047045871orthogonal array fuse fuse fuse fuse fuse
2267044295Martirosyan-Tran van Trung
2367108844perfect hash family4,23,17
2469215742Martirosyan-Tran van Trung
2671022751Martirosyan-Tran van Trung
2872968759Martirosyan-Tran van Trung
3279054612Martirosyan-Tran van Trung
3479185676Martirosyan-Tran van Trung
36100459252Martirosyan-Tran van Trung
37132266482Add a factor
38163926922Martirosyan-Tran van Trung
39167772110perfect hash family10,39,17
40181478730Martirosyan-Tran van Trung
44184549321perfect hash family11,44,17
45197868615perfect hash family16,65,13S5
48198772124perfect hash family16,65,13S4
52199675633perfect hash family16,65,13S3
56200579142perfect hash family16,65,13S2
60201482651perfect hash family16,65,13T1
65202386160perfect hash family16,65,13
66217954320perfect hash family16,66,14
70248503099perfect hash family15,80,16T2
80251658012perfect hash family15,80,16,c fuse fuse
85251658165Power 17^2Tlev
90254412768Power 16^2T7T6
91255059624Power 16^2T9T3
100255136168Power 16^2T6T6
110255915214Power 16^2T6T5
121256694260Power 16^2T5T5
132257533233Power 16^2T5T4
144258372206Power 16^2T4T4
156259275715Power 16^2T4T3
169260179224Power 16^2T3T3
182261152234Power 16^2T3T2
196262125244Power 16^2T2T2
204263403791Power 17^2T5
221264307300Power 17^2T4
238265280310Power 17^2T3
256268435212perfect hash family16,256,16,c fuse fuse
289268435376Power 17^2
290331205356Add a factor
291404525694Add a factor
292469761908perfect hash family28,292,17
293520093541perfect hash family31,293,17
320530221148perfect hash family32,512,16T6
352531000194perfect hash family32,512,16T5
384531839167perfect hash family32,512,16T4
416532742676perfect hash family32,512,16T3
448533715686perfect hash family32,512,16T2
512536870412perfect hash family32,512,16,c fuse fuse
513536870752perfect hash family32,513,17
514631359146Add a factor
515726546420Add a factor
516754974495perfect hash family45,516,17
517850161769Add a factor
544865249015Martirosyan-Tran van Trung
548900887225Martirosyan-Tran van Trung
576901577005Martirosyan-Tran van Trung
578954928481perfect hash familyD16,578,34^11 17^5
5801063664413Martirosyan-Tran van Trung
5951124960635Power N29^2S10
6161131046488Power N29^2S9
6261136364000Power 25^2+1
6371137132341Power N29^2S8
6591143218194Power N29^2S7
6821149304047Power N29^2S6
7061155389900Power N29^2S5
7311161475753Power N29^2S4
7571167561606Power N29^2S3
7841173647459Power N29^2T1T1
8061177787304Power N31^2T5
8681179733312Power N31^2T3
9621185819165Power N31^2+1
9641187785125Power N31^2+3
10241264873776Power 32^2
10261266970800Power 32^2+2
10271398758820Add a factor
10281530546840Add a factor
10291662334860Add a factor
10441665924915Power N37^2S10
10721697732145Power N37^2S9
11011729539375Power N37^2S8
11311761346605Power N37^2S7
11621793153835Power N37^2S6
11941824961065Power N37^2S5
12271856768295Power N37^2S4
12611888575525Power N37^2S3
12961920382755Power N37^2T1T1
13321952189985Power N37^2T1
13691983997215Power N37^2
13702118320859Add a factor
14252147483008perfect hash family128,1425,17
14262281806652Add a factor
15682307642789Power 32^3T25T25
17922308845732Power 32^3T25T24
20162309517461Power 32^3T25T23
20482310048675Power 32^3T24T24
22402310240861Power 32^3T25T22
23042310720404Power 32^3T24T23
24642311019907Power 32^3T25T21
25922311392133Power 32^3T23T23
26882311858880Power 32^3T25T20
28802312115533Power 32^3T23T22
29122312762389Power 32^3T25T19
32002312838933Power 32^3T22T22
35202313617979Power 32^3T22T21
38722314397025Power 32^3T21T21
42242315235998Power 32^3T21T20
46082316074971Power 32^3T20T20
49922316978480Power 32^3T20T19
54082317881989Power 32^3T19T19
58242318854999Power 32^3T19T18
62722319828009Power 32^3T18T18
65282321106556Power 32^3T20T15
70722322010065Power 32^3T19T15
76162322983075Power 32^3T18T15
92482326138141Power 32^3T15T15
97922333498492Power 32^3T15T14
100002340858843Power 31^3T13T13
 Graph: