Table for CAN(5,k,12) for k up to 10000

Last Updated Sun Nov 22 06:43:43 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;5,k,12) 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
6248832Derive from strength 6
7296130Derive from strength 6
8323050Add a symbol
9352418Add a symbol
14371291orthogonal array fuse
15658259Add a factor
16818639Martirosyan-Tran van Trung
18849127Martirosyan-Tran van Trung
24869120Martirosyan-Tran van Trung
28870240Martirosyan-Tran van Trung
291396788Add a factor
301400148Martirosyan-Tran van Trung
321660736Martirosyan-Tran van Trung
361700184Martirosyan-Tran van Trung
381732497Martirosyan-Tran van Trung
401744817Martirosyan-Tran van Trung
421754897Martirosyan-Tran van Trung
441769457Martirosyan-Tran van Trung
461778417Martirosyan-Tran van Trung
481790737Martirosyan-Tran van Trung
541965695Martirosyan-Tran van Trung
562000719Martirosyan-Tran van Trung
572578747Add a factor
582928019Martirosyan-Tran van Trung
602951586Martirosyan-Tran van Trung
643263467Martirosyan-Tran van Trung
723302915Martirosyan-Tran van Trung
763335228Martirosyan-Tran van Trung
783347548Martirosyan-Tran van Trung
803404572Martirosyan-Tran van Trung
843414652Martirosyan-Tran van Trung
883432248Martirosyan-Tran van Trung
923441208Martirosyan-Tran van Trung
963453528Martirosyan-Tran van Trung
983785456Martirosyan-Tran van Trung
1003793296Martirosyan-Tran van Trung
1083794416Martirosyan-Tran van Trung
1123829440Martirosyan-Tran van Trung
1174065317Power 13^2T4
1694084091perfect hash family11,169,13,c fuse
1704084190Power 13^2+1
1714906550Add a factor
1725263209Martirosyan-Tran van Trung
1765264329Martirosyan-Tran van Trung
1845273289Martirosyan-Tran van Trung
1925285609Martirosyan-Tran van Trung
1945617537Martirosyan-Tran van Trung
1965619777Martirosyan-Tran van Trung
2005627617Martirosyan-Tran van Trung
2105628737Martirosyan-Tran van Trung
2125646657Martirosyan-Tran van Trung
2165647777Martirosyan-Tran van Trung
2245682801Martirosyan-Tran van Trung
2345918679Martirosyan-Tran van Trung
2385937452Martirosyan-Tran van Trung
3165938572Martirosyan-Tran van Trung
3385939692Martirosyan-Tran van Trung
3406006715Martirosyan-Tran van Trung
3426829075Martirosyan-Tran van Trung
3447185734Martirosyan-Tran van Trung
3527186854Martirosyan-Tran van Trung
3647195814Martirosyan-Tran van Trung
3667659002Martirosyan-Tran van Trung
3687710339Martirosyan-Tran van Trung
3847724899Martirosyan-Tran van Trung
3888056827Martirosyan-Tran van Trung
3908059067Martirosyan-Tran van Trung
3928084950Martirosyan-Tran van Trung
4008092790Martirosyan-Tran van Trung
4168093910Martirosyan-Tran van Trung
4208116218Martirosyan-Tran van Trung
4248137498Martirosyan-Tran van Trung
4328138618Martirosyan-Tran van Trung
4428173642Martirosyan-Tran van Trung
4488218258Martirosyan-Tran van Trung
4508454136Martirosyan-Tran van Trung
4688479896Martirosyan-Tran van Trung
4768539985Martirosyan-Tran van Trung
4808541105Martirosyan-Tran van Trung
4948547825Martirosyan-Tran van Trung
5028681673Martirosyan-Tran van Trung
5408683913Martirosyan-Tran van Trung
5708696233Martirosyan-Tran van Trung
5958702390Power N29^2S10
6008708553Martirosyan-Tran van Trung
6248718633Martirosyan-Tran van Trung
6328873777Martirosyan-Tran van Trung
6368874897Martirosyan-Tran van Trung
6468877911Martirosyan-Tran van Trung
6768890231Martirosyan-Tran van Trung
6808957254Martirosyan-Tran van Trung
7309572629Power 27^2+1
73110733701Add a factor
73211242888Martirosyan-Tran van Trung
73611331383Martirosyan-Tran van Trung
75411345943Martirosyan-Tran van Trung
75811367184Martirosyan-Tran van Trung
76811376144Martirosyan-Tran van Trung
77611708072Martirosyan-Tran van Trung
78011710312Martirosyan-Tran van Trung
78411760965Martirosyan-Tran van Trung
80011768805Martirosyan-Tran van Trung
83211769925Martirosyan-Tran van Trung
84011792233Martirosyan-Tran van Trung
84811813513Martirosyan-Tran van Trung
86411814633Martirosyan-Tran van Trung
88411849657Martirosyan-Tran van Trung
89611894273Martirosyan-Tran van Trung
90012130151Martirosyan-Tran van Trung
93012155911Martirosyan-Tran van Trung
93612158144Martirosyan-Tran van Trung
95212229156Martirosyan-Tran van Trung
95412230276Martirosyan-Tran van Trung
96012258942Martirosyan-Tran van Trung
98812265662Martirosyan-Tran van Trung
100412399510Martirosyan-Tran van Trung
103212401750Martirosyan-Tran van Trung
108012402870Martirosyan-Tran van Trung
114012415190Martirosyan-Tran van Trung
119012421347Martirosyan-Tran van Trung
120012427510Martirosyan-Tran van Trung
124812438710Martirosyan-Tran van Trung
126412593854Martirosyan-Tran van Trung
127212594974Martirosyan-Tran van Trung
129212597988Martirosyan-Tran van Trung
133212610308Martirosyan-Tran van Trung
135212612548Martirosyan-Tran van Trung
136012679571Martirosyan-Tran van Trung
146013294946Martirosyan-Tran van Trung
146214456018Martirosyan-Tran van Trung
146414965205Martirosyan-Tran van Trung
147015053700Martirosyan-Tran van Trung
147215071620Martirosyan-Tran van Trung
150815086180Martirosyan-Tran van Trung
151615107421Martirosyan-Tran van Trung
153415116381Martirosyan-Tran van Trung
153615363485Martirosyan-Tran van Trung
155215695413Martirosyan-Tran van Trung
156015697653Martirosyan-Tran van Trung
156815748306Martirosyan-Tran van Trung
160015756146Martirosyan-Tran van Trung
166415757266Martirosyan-Tran van Trung
168015779574Martirosyan-Tran van Trung
168215794064Power N41^2+1
169615800854Martirosyan-Tran van Trung
172815801974Martirosyan-Tran van Trung
173615836998Martirosyan-Tran van Trung
176815838118Martirosyan-Tran van Trung
179215882734Martirosyan-Tran van Trung
180615910544Power N43^2T1
185015925104Power N43^2+1
185216005744Power N43^2+3
186116018064Power N47^2S8
190116030384Power N47^2S7
194216042704Power N47^2S6
198416055024Power N47^2S5
202716067344Power N47^2S4
207116079664Power N47^2S3
211616091984Power N47^2T1T1
216216104304Power N47^2T1
221016116624Power N47^2+1
228016404771Martirosyan-Tran van Trung
236016410928Martirosyan-Tran van Trung
238016412048Martirosyan-Tran van Trung
240016418211Martirosyan-Tran van Trung
240416429411Martirosyan-Tran van Trung
249616430531Martirosyan-Tran van Trung
252816585675Martirosyan-Tran van Trung
254416586795Martirosyan-Tran van Trung
258416589809Martirosyan-Tran van Trung
266416602129Martirosyan-Tran van Trung
267816604369Martirosyan-Tran van Trung
270416605489Martirosyan-Tran van Trung
272016672512Martirosyan-Tran van Trung
302417228880Power 27^3T19T13
450817255841Power 23^3T9T9
529217277121Power 27^3T13T13
567017564089Power 27^3T13T12
604817724469Power 27^3T13T11
740617753670Power 23^3T9
743417771590Power 25^3T11S4
774217772710Power 25^3T11S3
806417773830Power 25^3T11S2
907217774950Power 27^3T13T3
1000017776070Power 27^3T13
 Graph: