Table for CAN(6,k,25) for k up to 10000

Last Updated Sun Jul 29 04:37:25 MST 2018

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,25) 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
26244140625orthogonal array
28387420485orthogonal array fuse fuse
30594823313orthogonal array fuse fuse fuse fuse
317324062253-Restricted SCPHF RE (CL)
32887503669orthogonal array fuse fuse fuse fuse fuse fuse
439570312255,5-Restricted SCPHF RE (CL)
499667968255-Restricted SCPHF RE (CL)
549761718254-Restricted SCPHF RE (CL)
559765618252-Restricted SCPHF RE (CL)
56976562425SCPHF Random Extension (CLS)
7612011718255,5-Restricted SCPHF RE (CL)
8212109374255-Restricted SCPHF RE (CL)
9112203124254-Restricted SCPHF RE (CL)
9312206874253-Restricted SCPHF RE (CL)
9512207024252-Restricted SCPHF RE (CL)
961220703121CPHF Random Extension (CLS)
11614355468255,5,5-Restricted SCPHF RE (CL)
13214453124255,5-Restricted SCPHF RE (CL)
14714550780255-Restricted SCPHF RE (CL)
16114644530254-Restricted SCPHF RE (CL)
16314648280253-Restricted SCPHF RE (CL)
16614648430252-Restricted SCPHF RE (CL)
1691464843625SCPHF Random Extension (CLS)
2651708984225SCPHF Random Extension (CLS)
2662646079225Add 1 factors
2673114454225Add 2 factors
2683573829225Add 3 factors
2693808204225Add 4 factors
6253906249625perfect hash family16,625,25,c
6263906249984Power CT25^2+1
6275049624984Add 1 factors
6285518359984Add 2 factors
6515768888164Power CT27^2Arc(3)
6765912168024Power CT27^2T1T1
7026055447884Power CT27^2T1
7306198727744Power CT27^2+1
7317576822744Add 1 factors
7328167237744Add 2 factors
7578300141196Power N-CT29^2Arc(3)
7848507544024Power N-CT29^2T1T1
8128714946852Power N-CT29^2T1
8428922349680Power N-CT29^2+1
84310300444680Add 1 factors
87110573344624Power N-CT31^2Arc(3)
90010710927536Power N-CT31^2T1T1
93010848510448Power N-CT31^2T1
96110986093360Power N-CT31^2
96611162529700Martirosyan-TVT
113611171904100Martirosyan-TVT
120611181278500Martirosyan-TVT
120711182027900Martirosyan-TVT variant
125011182777876Martirosyan-TVT
125111240108235Martirosyan-TVT variant
125211297438235Martirosyan-TVT
125412440813235Martirosyan-TVT
145812674992485perfect hash familyD16,1458,54^11 27^5
148413077654196Power N-CT53^2T25
159013285057024Power N-CT53^2T23
184913398437136Power N-CT43^2
202113525389936Power N-CT47^2T4
221113535155536Power N-CT47^2+2
222113638280536Power N-CT53^2Trin4,4,4
227913647264936Power N-CT53^2T10
240113647655536Power N-CT53^2T4T4
259713657030536Power N-CT53^2T4
281013666405536Power N-CT53^2+1
281113671865536Power N-CT53^2+2
281213671873936Power N-CT53^2+3
291615165233712Power N-CT73^2T19T19
297015165623712Power N-CT73^2T19T18
302415165624312Power N-CT73^2T19T17
302515166013712Power N-CT73^2T18T18
308015166014312Power N-CT73^2T18T17
313615166014912Power N-CT73^2T17T17
313915371093112Power N-CT73^2T30
357715380858712Power N-CT73^2T24
394215390233712Power N-CT73^2T19
401515390623712Power N-CT73^2T18
408815390624312Power N-CT73^2T17
409715488280312Power N-CT79^2Trin3,3,23
410415497655312Power N-CT79^2T25T3
418015498045312Power N-CT79^2T24T3
425615498045912Power N-CT79^2T23T3
426615507420912Power N-CT79^2T25
434515507810912Power N-CT79^2T24
442415507811512Power N-CT79^2T23
443015582811512Power N-CT83^2Arc(4)T27
448315592186512Power N-CT83^2Arc(3)T27
453715601561512Power N-CT83^2Arc(2)T27
459215610936512Power N-CT83^2T27T1
533215615233712Power N-CT73^2+3
696615644531160Power N-CT97^2Arc(13)T15
772215653906160Power N-CT97^2Arc(13)T6
789015654281160Power N-CT97^2Arc(13)T4
805815654296160Power N-CT97^2Arc(13)T2
814115869139864Power N-CT97^2Arc(12)T2
822615869140560Power N-CT97^2Arc(13)
831116083984264Power N-CT97^2Arc(12)
839716298827968Power N-CT97^2Arc(11)
848416513671672Power N-CT97^2Arc(10)
857216728515376Power N-CT97^2Arc(9)
866116943359080Power N-CT97^2Arc(8)
875117158202784Power N-CT97^2Arc(7)
884217373046488Power N-CT97^2Arc(6)
893417587890192Power N-CT97^2Arc(5)
902717802733896Power N-CT97^2Arc(4)
912118017577600Power N-CT97^2Arc(3)
935118088839984Power CT31^3T5S30
966218226422896Power CT31^3T5S29
1000018232119844Power CT31^3T3S30
 Graph: