Table for CAN(6,k,24) for k up to 10000

Last Updated Thu Jun 7 05:19:24 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,24) 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
7191102976composition
8208066905Augment OA
9217091292Augment OA
10226488680Augment OA
11236266448Augment OA
26244140623orthogonal array fuse
28387420483orthogonal array fuse fuse fuse
30594823311orthogonal array fuse fuse fuse fuse fuse
317324062233-Restricted SCPHF RE (CL) fuse
32887503667orthogonal array fuse fuse fuse fuse fuse fuse fuse
439570312235-Restricted SCPHF RE (CL) fuse
499667968235-Restricted SCPHF RE (CL) fuse
549761718234-Restricted SCPHF RE (CL) fuse
559765618232-Restricted SCPHF RE (CL) fuse
56976562423SCPHF Random Extension (CLS) fuse
7612011718235-Restricted SCPHF RE (CL) fuse
8212109374235-Restricted SCPHF RE (CL) fuse
9112203124234-Restricted SCPHF RE (CL) fuse
9312206874233-Restricted SCPHF RE (CL) fuse
9512207024232-Restricted SCPHF RE (CL) fuse
961220703119CPHF Random Extension (CLS) fuse
11614355468235-Restricted SCPHF RE (CL) fuse
13214453124235-Restricted SCPHF RE (CL) fuse
14714550780235-Restricted SCPHF RE (CL) fuse
16114644530234-Restricted SCPHF RE (CL) fuse
16314648280233-Restricted SCPHF RE (CL) fuse
16614648430232-Restricted SCPHF RE (CL) fuse
1691464843623SCPHF Random Extension (CLS) fuse
2651708984223SCPHF Random Extension (CLS) fuse
2662571110519Add 1 factors
2672984752823Add 2 factors
2683362161847Add 3 factors
2693784548023Add 4 factors
2703804189106Add 5 factors
2713880041584Add 6 factors
2753898375777Power CT25^2T14
6253906249623perfect hash family16,625,25,c fuse
6263906249952Power CT25^2+1
6274958153848Add 1 factors
6285372114104Add 2 factors
6295753020600Add 3 factors
6515768888132Power CT27^2Arc(3)
6765912167992Power CT27^2T1T1
7026055447852Power CT27^2T1
7306198727712Power CT27^2+1
7317466574008Add 1 factors
7327988002040Add 2 factors
7578300141166Power N-CT29^2Arc(3)
7848507543994Power N-CT29^2T1T1
8128714946822Power N-CT29^2T1
8428922349650Power N-CT29^2+1
84310190195946Add 1 factors
87110573344594Power N-CT31^2Arc(3)
90010710927506Power N-CT31^2T1T1
93010848510418Power N-CT31^2T1
96110986093330Power N-CT31^2
96610988497543Martirosyan-TVT
113610997481343Martirosyan-TVT
115111006465143Martirosyan-TVT variant
120611010276389Martirosyan-TVT
120711011025741Martirosyan-TVT variant
125011011775669Martirosyan-TVT
125111049088906Martirosyan-TVT variant
125211086401814Martirosyan-TVT
125412138305710Martirosyan-TVT
125612552265966Martirosyan-TVT
145812674992453perfect hash familyD16,1458,54^11 27^5
148413077654168Power N-CT53^2T25
159013285056996Power N-CT53^2T23
184913398437108Power N-CT43^2
202113525389908Power N-CT47^2T4
221113535155508Power N-CT47^2+2
222113638280508Power N-CT53^2Trin4,4,4
227913647264908Power N-CT53^2T10
240113647655508Power N-CT53^2T4T4
259713657030508Power N-CT53^2T4
281013666405508Power N-CT53^2+1
281113671865508Power N-CT53^2+2
281213671873908Power N-CT53^2+3
291615165233686Power N-CT73^2T19T19
297015165623686Power N-CT73^2T19T18
302415165624286Power N-CT73^2T19T17
302515166013686Power N-CT73^2T18T18
308015166014286Power N-CT73^2T18T17
313615166014886Power N-CT73^2T17T17
313915371093086Power N-CT73^2T30
357715380858686Power N-CT73^2T24
394215390233686Power N-CT73^2T19
401515390623686Power N-CT73^2T18
408815390624286Power N-CT73^2T17
409715488280286Power N-CT79^2Trin3,3,23
410415497655286Power N-CT79^2T25T3
418015498045286Power N-CT79^2T24T3
425615498045886Power N-CT79^2T23T3
426615507420886Power N-CT79^2T25
434515507810886Power N-CT79^2T24
442415507811486Power N-CT79^2T23
443015582811486Power N-CT83^2Arc(4)T27
448315592186486Power N-CT83^2Arc(3)T27
453715601561486Power N-CT83^2Arc(2)T27
459215610936486Power N-CT83^2T27T1
533215615233686Power N-CT73^2+3
696615644531134Power N-CT97^2Arc(13)T15
772215653906134Power N-CT97^2Arc(13)T6
789015654281134Power N-CT97^2Arc(13)T4
805815654296134Power N-CT97^2Arc(13)T2
814115869139838Power N-CT97^2Arc(12)T2
822615869140534Power N-CT97^2Arc(13)
831116083984238Power N-CT97^2Arc(12)
839716298827942Power N-CT97^2Arc(11)
848416513671646Power N-CT97^2Arc(10)
857216728515350Power N-CT97^2Arc(9)
866116943359054Power N-CT97^2Arc(8)
875117158202758Power N-CT97^2Arc(7)
884217373046462Power N-CT97^2Arc(6)
893417587890166Power N-CT97^2Arc(5)
902717802733870Power N-CT97^2Arc(4)
912118017577574Power N-CT97^2Arc(3)
935118088839922Power CT31^3T5S30
966218226422834Power CT31^3T5S29
1000018232119782Power CT31^3T3S30
 Graph: