Table for CAN(5,k,17) for k up to 10000

Last Updated Sun Nov 19 11:04:53 MST 2017

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,17) 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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181419857orthogonal array
202476095orthogonal array fuse fuse
212839713CPHF Random Extension (CLS)
3341760334-Restricted SCPHF RE (CL)
3742546413-Restricted SCPHF RE (CL)
384259569CPHF Random Extension (CLS)
5455123694-Restricted SCPHF RE (CL)
5955958734-Restricted SCPHF RE (CL)
6356744813-Restricted SCPHF RE (CL)
6656791052-Restricted SCPHF RE (CL)
685679377SCPHF Random Extension (CLS)
695679425CPHF Random Extension (CLS)
9669322094-Restricted SCPHF RE (CL)
11070157134-Restricted SCPHF RE (CL)
11470943213-Restricted SCPHF RE (CL)
12670989452-Restricted SCPHF RE (CL)
15182685454-Restricted SCPHF RE (CL)
17783520494-Restricted SCPHF RE (CL)
19584355534-Restricted SCPHF RE (CL)
21385141613-Restricted SCPHF RE (CL)
21985187852-Restricted SCPHF RE (CL)
2238519057SCPHF Random Extension (CLS)
2288519137CPHF Random Extension (CLS)
4059938897SCPHF Random Extension (CLS)
4069938993CPHF Random Extension (CLS)
67111358737SCPHF Random Extension (CLS)
67216542241Add 1 factors
78219808655SCPHF Random Extension (CLS) fuse fuse
78324992159Add 1 factors
78428839327Add 2 factors
78530175663Add 3 factors
79831507375Add 17 factors
79931511999Add 17 factors
100534076208perfect hash family3,1005,671
100639407680Add 1 factors
108942389184Power N-CT37^2T4T4
122142467792Power N-CT37^2T4
136942546400Power N-CT37^2
137042595680Power N-CT37^2+1
202544015104perfect hash family4,3125,625T220
203044015200perfect hash family4,3125,625T219
312545434944perfect hash family4,3125,625
318650279344Power N-CT59^2T5
348150362848Power N-CT59^2
351150946832Power N-CT67^2Arc(2)T13
356450947104Power N-CT67^2T13T1
361850947376Power N-CT67^2T13
366251025712Power N-CT67^2Trin1,4,8
371751025984Power N-CT67^2T8T4
372351029792Power N-CT67^2Arc(4)T8
377951030064Power N-CT67^2Arc(3)T8
383651030336Power N-CT67^2Arc(2)T8
389451030608Power N-CT67^2T8T1
395351030880Power N-CT67^2T8
396951104592Power N-CT67^2T4T4
397551108400Power N-CT67^2Arc(4)T4
403551108672Power N-CT67^2Arc(3)T4
409651108944Power N-CT67^2Arc(2)T4
415851109216Power N-CT67^2T4T1
422151109488Power N-CT67^2T4
422751113296Power N-CT67^2Arc(4)
429151113568Power N-CT67^2Arc(3)
435651113840Power N-CT67^2T1T1
442251114112Power N-CT67^2T1
449051114384Power N-CT67^2+1
449151114816Power N-CT67^2+2
449257482064Add 1 factors
449458631424Power N-CT71^2Trin2,3,3
456058631472Power N-CT71^2Trin2,2,3
462758631520Power N-CT71^2Trin2,2,2
469259884256Power N-CT71^2T3T2
476159884304Power N-CT71^2T2T2
478860886528Power N-CT97^2Arc(9)T43
522860970032Power N-CT97^2Arc(9)T38
558061048640Power N-CT97^2Arc(9)T34
584461053264Power N-CT97^2Arc(9)T31
602061053536Power N-CT97^2Arc(9)T29
610861053584Power N-CT97^2Arc(9)T28
616961137088Power N-CT97^2Arc(8)T28
623161220592Power N-CT97^2Arc(7)T28
629461304096Power N-CT97^2Arc(6)T28
635861387600Power N-CT97^2Arc(5)T28
642361471104Power N-CT97^2Arc(4)T28
648961554608Power N-CT97^2Arc(3)T28
655661638112Power N-CT97^2Arc(2)T28
662461721616Power N-CT97^2T28T1
686761800176perfect hash family9,11881,109T46
719461804800perfect hash family9,11881,109T43
741261805072perfect hash family9,11881,109T41
752161805120perfect hash family9,11881,109T40
839662306368Power N-CT97^2Arc(9)T2
857262389872Power N-CT97^2Arc(9)
866162473376Power N-CT97^2Arc(8)
875162556880Power N-CT97^2Arc(7)
884262640384Power N-CT97^2Arc(6)
893462723888Power N-CT97^2Arc(5)
902762807392Power N-CT97^2Arc(4)
912162890896Power N-CT97^2Arc(3)
921662974400Power N-CT97^2T1T1
1000063057904perfect hash family9,11449,107T11