Table for CAN(6,k,21) 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,21) 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
785766121composition
8104648405Augment OA
9115485066Augment OA
10127301940Augment OA
11140142906Augment OA
24148035885orthogonal array fuse fuse
26244140617orthogonal array fuse fuse fuse fuse
28387420477orthogonal array fuse fuse fuse fuse fuse fuse
31444107617SCPHF Random Extension (CLS) fuse fuse
41579270843Quint-Restricted SCPHF RE (C) fuse fuse
44585707163Quint-Restricted SCPHF RE (C) fuse fuse
52592143483SCPHF Random Extension (CLS) fuse fuse
70727306709Quint-Restricted SCPHF RE (C) fuse fuse
78733743029Quint-Restricted SCPHF RE (C) fuse fuse
86740179349SCPHF Random Extension (CLS) fuse fuse
148888215215SCPHF Random Extension (CLS) fuse fuse
2491036251081SCPHF Random Extension (CLS) fuse fuse
2501506381021Add 1 factors
2651708984217SCPHF Random Extension (CLS) fuse fuse fuse fuse
2662278573937Add 1 factors
5292368573875perfect hash family16,529,23,c fuse fuse
5302368574144Power CT23^2+1
5312940685964Add 1 factors
5323155267744Add 2 factors
5333336783344Add 3 factors
5343541726632Add 5 factors
5353541939903Add 5 factors
5533617935660Power CT25^2Arc(3)
5763714040392Power CT25^2T1T1
6003810145124Power CT25^2T1
6253906249617perfect hash family16,625,25,c fuse fuse fuse fuse
6263906249856Power CT25^2+1
6274596097756Add 1 factors
6284871643376Add 2 factors
6295057974696Add 3 factors
6305259902550Add 5 factors
6315266894867Add 5 factors
6325378284672Add 6 factors
6485632467099Add 23 factors
6495641101216Add 23 factors
6515768888036Power CT27^2Arc(3)
6765912167896Power CT27^2T1T1
7026055447756Power CT27^2T1
7306198727616Power CT27^2+1
7356217506480perfect hash family6,735,249
7446365542508Power N-CT31^2T7
8066461647240Power N-CT31^2T5
8656522171438Martirosyan-TVT variant
9616524895780Martirosyan-TVT variant
10146527620122Martirosyan-TVT
10156528154876Martirosyan-TVT variant
10576528690114Martirosyan-TVT variant
10586531414456Martirosyan-TVT
10596555167965Martirosyan-TVT variant
10606578921205Martirosyan-TVT
10627151033025Martirosyan-TVT
10647365614805Martirosyan-TVT
10667547130405Martirosyan-TVT
12507734281383perfect hash familyD16,1250,50^11 25^5
12717974628562Power N-CT41^2T10
13338058300722Power N-CT43^2T12
16818109791788Power N-CT41^2
17638193463948Power N-CT43^2T2
18508199900268Power N-CT43^2+1
19368277136108Power N-CT47^2T3T3
20688283572428Power N-CT47^2T3
22148290008748perfect hash family14,2214,52
22398560335200Power N-CT53^2Arc(12)
22818695498426Power N-CT53^2Arc(11)
23248830661652Power N-CT53^2Arc(10)
23688965824878Power N-CT53^2Arc(9)
24139100988104Power N-CT53^2Arc(8)
24599236151330Power N-CT53^2Arc(7)
26119249023952Power N-CT73^2Trin3,21,21
27049255460272Power N-CT73^2T21T21
27569371314538Power N-CT73^2Trin3,3,32
29579377750858Power N-CT73^2Trin3,3,29
34939384187178Power N-CT73^2Trin3,3,21
36409390623498Power N-CT73^2T21T3
37969397059818Power N-CT73^2T21
38119435677738Power N-CT79^2Arc(6)T27
38589442114058Power N-CT79^2Arc(5)T27
39069448550378Power N-CT79^2Arc(4)T27
39559454986698Power N-CT79^2Arc(3)T27
40059461423018Power N-CT79^2Arc(2)T27
40569467859338Power N-CT79^2T27T1
43169474295658Power N-CT83^2T31
46999519350404Power N-CT73^2Trin3,3,3
49009525786724Power N-CT73^2T3T3
51109532223044Power N-CT73^2T3
53349538659364perfect hash family13,5334,78
53599545095684Power N-CT79^2Arc(12)
54279551532004Power N-CT79^2Arc(11)
54969557968324Power N-CT79^2Arc(10)
55669564404644Power N-CT79^2Arc(9)
56379570840964Power N-CT79^2Arc(8)
57099577277284Power N-CT79^2Arc(7)
57829583713604Power N-CT79^2Arc(6)
58569590149924Power N-CT79^2Arc(5)
59319596586244Power N-CT79^2Arc(4)
60079603022564Power N-CT79^2Arc(3)
60849609458884Power N-CT79^2T1T1
64749615895204Power N-CT83^2T5
68929622331524Power N-CT83^2+3
689310868769304Add 1 factors
714711102690184Power N-CT89^2Trin3,3,3
739611250726050Power N-CT89^2T3T3
809411385889276perfect hash family13,14478,126T56
900611392325596perfect hash family13,14478,126T48
991811398761916perfect hash family13,14478,126T40
1000011546797782Power N-CT101^2
 Graph: