Table for CAN(4,k,2) for k up to 10000

Last Updated Sat Nov 14 06:42:46 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;4,k,2) 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
516orthogonal array
621Johnson-Entringer
1224Cyclic (Colbourn-Keri)
1332Derive from strength 5
1735simulated annealing (Torres+Rodriguez)
1836simulated annealing (Torres+Rodriguez)
2039Hadamard (Colbourn-Keri) postop NCK
2142Cyclic (Colbourn-Keri)
2244Cyclic (Colbourn-Keri)
2446Cyclic (Colbourn-Keri)
2550Cyclic (Colbourn-Keri)
2651simulated annealing (Torres+Rodriguez)
2853simulated annealing (Torres+Rodriguez)
3056simulated annealing (Torres+Rodriguez)
3258simulated annealing (Torres+Rodriguez)
3361simulated annealing (Torres+Rodriguez)
3564simulated annealing (Torres+Rodriguez)
3765simulated annealing (Torres+Rodriguez)
3866simulated annealing (Torres+Rodriguez)
6767Cyclic, derived (Colbourn-Keri)
7171Cyclic, derived (Colbourn-Keri)
7979Cyclic, derived (Colbourn-Keri)
8383Cyclic, derived (Colbourn-Keri)
8988Torres-Jimenez
9797Cyclic, derived (Colbourn-Keri)
10199Torres-Jimenez
102103Cyclic, derived (Colbourn-Keri)
103104Cyclotomy (Colbourn)
107106Torres-Jimenez
109108Torres-Jimenez
144112Power 12^2,c
145134Add a factor
148140IPOG-F (NIST) postop NCK
152141IPOG-F (NIST) postop NCK
155142IPOG-F (NIST) postop NCK
162144IPOG-F (NIST) postop NCK
165145IPOG-F (NIST) postop NCK
169146IPOG-F (NIST) postop NCK
173147IPOG-F (NIST) postop NCK
175148IPOG-F (NIST) postop NCK
178149IPOG-F (NIST) postop NCK
185150IPOG-F (NIST) postop NCK
190152IPOG-F (NIST) postop NCK
195153IPOG-F (NIST) postop NCK
199154IPOG-F (NIST) postop NCK
207156IPOG-F (NIST)
209157IPOG-F (NIST)
215158IPOG-F (NIST)
218159IPOG-F (NIST)
223160IPOG-F (NIST)
228161IPOG-F (NIST)
231163IPOG-F (NIST)
242164IPOG-F (NIST)
246165IPOG-F (NIST)
266166Torres-Jimenez
289167Torres-Jimenez
308174IPOG-F (NIST)
324175Power 18^2
358179Cyclic, derived (Colbourn-Keri)
363183IPOG-F (NIST)
366184IPOG-F (NIST)
383185IPOG-F (NIST)
389186IPOG-F (NIST)
405187IPOG-F (NIST)
605188Torres-Jimenez
726197Power 11^3,cT5
1332200Power 11^3,+1c
1368225Power 13^3S6c
1476234Power 13^3S5c
1596243Power 13^3S4c
1728252Power 13^3S3c
1872261Power 13^3T1T1c
2028270Power 13^3,T1c
2304277Power 16^3,cT4T4
4248280Power 13^4T8S12c
5097285Power 13^4T7S12c
10000288Power 13^4S13c
 Graph: