Table for CAN(6,k,20) for k up to 10000

Last Updated Sat Sep 16 02:03:55 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;6,k,20) 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).

Change t: - Change v: - + or go to Global Menu.
kNSource
764000000composition
870901841Augment OA
974615592Augment OA
1078509088Augment OA
1182584720Augment OA
1286844605Augment OA
1391286154Augment OA
1495902380Augment OA
15100688940Augment OA
16105640344Augment OA
17110740896Augment OA
18115969812Augment OA
19121310952Augment OA
20126740694Augment OA
24148035883orthogonal array fuse fuse fuse
26244140615orthogonal array fuse fuse fuse fuse fuse
28387420475orthogonal array fuse fuse fuse fuse fuse fuse fuse
31444107615SCPHF Random Extension (CLS) fuse fuse fuse
32540857182Martirosyan-TVT
33554789557Martirosyan-TVT variant
34561165960Martirosyan-TVT
35573095578Martirosyan-TVT variant
36576322594Martirosyan-TVT
41579270841Quint-Restricted SCPHF RE (C) fuse fuse fuse
44585707161Quint-Restricted SCPHF RE (C) fuse fuse fuse
52592143481SCPHF Random Extension (CLS) fuse fuse fuse
70727306707Quint-Restricted SCPHF RE (C) fuse fuse fuse
78733743027Quint-Restricted SCPHF RE (C) fuse fuse fuse
86740179347SCPHF Random Extension (CLS) fuse fuse fuse
148888215213SCPHF Random Extension (CLS) fuse fuse fuse
2491036251079SCPHF Random Extension (CLS) fuse fuse fuse
2501461605979Add 1 factors
2511646323979Add 2 factors
2561690245488Power CT16^2
2651708984215SCPHF Random Extension (CLS) fuse fuse fuse fuse fuse
2721766753768Power CT17^2T1
2891771854320Power CT17^2
2901855516976Power CT17^2+1
2911919610656Power CT19^2Arc(4)
3071924951796Power CT19^2Arc(3)
3241930292936Power CT19^2T1T1
3421935634076Power CT19^2T1
3611940975216Power CT19^2
3622027851088Power CT19^2+1
3802320553992Power CT23^2T4T3
4002325983734Power CT23^2T3T3
4142336508041Power CT23^2T5
4372341849181Power CT23^2T4
4602347278923Power CT23^2T3
5292368573873perfect hash family16,529,23,c fuse fuse fuse
5302368574112Power CT23^2+1
5312882920452Add 1 factors
5323067805652Add 2 factors
5333211597652Add 3 factors
5343369054408Add 5 factors
5353369054647Add 5 factors
5363450817350Add 6 factors
5533617935628Power CT25^2Arc(3)
5763714040360Power CT25^2T1T1
6003810145092Power CT25^2T1
6253906249615perfect hash family16,625,25,c fuse fuse fuse fuse fuse
6263906249824Power CT25^2+1
6274530397164Add 1 factors
6284767813564Add 2 factors
6294913277564Add 3 factors
6305070743782Add 5 factors
6315073761463Add 5 factors
6325171580483Add 6 factors
6435486042584Martirosyan-TVT variant
6485488560954Martirosyan-TVT
6725493902094Martirosyan-TVT
6735504784697Martirosyan-TVT variant
6845530924748Martirosyan-TVT
6885536265888Martirosyan-TVT
6905536267978Martirosyan-TVT
7205658555968Martirosyan-TVT
7215667867279Martirosyan-TVT variant
7225677178590Martirosyan-TVT
7245764054462Martirosyan-TVT
7606056757366Martirosyan-TVT
7616062187108Martirosyan-TVT variant
7686080133442Martirosyan-TVT
7696091609342Martirosyan-TVT variant
7716108263770Martirosyan-TVT variant
7826110853034Martirosyan-TVT
7836114655567Martirosyan-TVT variant
8006118458100Martirosyan-TVT
8166128982407Martirosyan-TVT
8176130419080Martirosyan-TVT variant
8286134456621Martirosyan-TVT
8296143604505Martirosyan-TVT variant
8646147411249Martirosyan-TVT
8656148336945Martirosyan-TVT variant
8746149262641Martirosyan-TVT
8756158499127Martirosyan-TVT variant
9126162305871Martirosyan-TVT
9136172928775Martirosyan-TVT variant
9206239060181Martirosyan-TVT
9216264250306Martirosyan-TVT variant
9516268145481Martirosyan-TVT variant
9606286707269Martirosyan-TVT
9616312522737Martirosyan-TVT variant
9666368116107Martirosyan-TVT
9676368117050Martirosyan-TVT variant
9696368117993Martirosyan-TVT variant
9796370825077Martirosyan-TVT variant
10096373532161Martirosyan-TVT variant
10126376239245Martirosyan-TVT
10136376240191Martirosyan-TVT variant
10146376241137Martirosyan-TVT
10156376775847Martirosyan-TVT variant
10586377311041Martirosyan-TVT
10596408400624Martirosyan-TVT variant
10606439489968Martirosyan-TVT
10626953836308Martirosyan-TVT
10647138721508Martirosyan-TVT
10667282513508Martirosyan-TVT
10687439970264Martirosyan-TVT
10707439970503Martirosyan-TVT
10727521733206Martirosyan-TVT
11047688851484Martirosyan-TVT
11057700317004Martirosyan-TVT variant
11067717376632Martirosyan-TVT
12507734281351perfect hash familyD16,1250,50^11 25^5
12717974628534Power N-CT41^2T10
13338058300694Power N-CT43^2T12
13538085310476Power N-CT41^2T8
13948091686879Power N-CT41^2T7
14358103616497Power N-CT41^2T6
14768106843513Power N-CT41^2T5
16818109791760Power N-CT41^2
17638193463920Power N-CT43^2T2
18508199900240Power N-CT43^2+1
19368277136080Power N-CT47^2T3T3
20688283572400Power N-CT47^2T3
22148290008720perfect hash family14,2214,52
22398560335172Power N-CT53^2Arc(12)
22818695498398Power N-CT53^2Arc(11)
23248830661624Power N-CT53^2Arc(10)
23688965824850Power N-CT53^2Arc(9)
24139100988076Power N-CT53^2Arc(8)
24599236151302Power N-CT53^2Arc(7)
26119249023926Power N-CT73^2Trin3,21,21
27049255460246Power N-CT73^2T21T21
27569371314512Power N-CT73^2Trin3,3,32
29579377750832Power N-CT73^2Trin3,3,29
34939384187152Power N-CT73^2Trin3,3,21
36409390623472Power N-CT73^2T21T3
37969397059792Power N-CT73^2T21
38119435677712Power N-CT79^2Arc(6)T27
38589442114032Power N-CT79^2Arc(5)T27
39069448550352Power N-CT79^2Arc(4)T27
39559454986672Power N-CT79^2Arc(3)T27
40059461422992Power N-CT79^2Arc(2)T27
40569467859312Power N-CT79^2T27T1
43169474295632Power N-CT83^2T31
46999519350378Power N-CT73^2Trin3,3,3
49009525786698Power N-CT73^2T3T3
51109532223018Power N-CT73^2T3
53349538659338perfect hash family13,5334,78
53599545095658Power N-CT79^2Arc(12)
54279551531978Power N-CT79^2Arc(11)
54969557968298Power N-CT79^2Arc(10)
55669564404618Power N-CT79^2Arc(9)
56379570840938Power N-CT79^2Arc(8)
57099577277258Power N-CT79^2Arc(7)
57829583713578Power N-CT79^2Arc(6)
58569590149898Power N-CT79^2Arc(5)
59319596586218Power N-CT79^2Arc(4)
60079603022538Power N-CT79^2Arc(3)
60849609458858Power N-CT79^2T1T1
64749615895178Power N-CT83^2T5
68929622331498Power N-CT83^2+3
689310700505878Add 1 factors
714711102690158Power N-CT89^2Trin3,3,3
739611250726024Power N-CT89^2T3T3
809411385889250perfect hash family13,14478,126T56
900611392325570perfect hash family13,14478,126T48
991811398761890perfect hash family13,14478,126T40
1000011546797756Power N-CT101^2
 Graph: