Table for CAN(6,k,15) 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,15) 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
711390625composition
815080613Augment OA
1716777214orthogonal array fuse
1824137565orthogonal array fuse fuse
1937899705Add 1 factors
2047045873orthogonal array fuse fuse fuse fuse
2249283054Quint-Restricted SCPHF RE (C) fuse
2450266094Quad-Restricted SCPHF RE (C) fuse
2550327534Tri-Restricted SCPHF RE (C) fuse
2650331614SCPHF Random Extension (CLS) fuse
3365011694Quint-Restricted SCPHF RE (C) fuse
3566060254Quint-Restricted SCPHF RE (C) fuse
4067108814SCPHF Random Extension (CLS) fuse
4167108859CPHF Random Extension (CLS) fuse
5181788894Quint-Restricted SCPHF RE (C) fuse
5682837454Quint-Restricted SCPHF RE (C) fuse
6683886014SCPHF Random Extension (CLS) fuse
7397517534Quint-Restricted SCPHF RE (C) fuse
8298566094Quint-Restricted SCPHF RE (C) fuse
8999614654Quint-Restricted SCPHF RE (C) fuse
96100663214SCPHF Random Extension (CLS) fuse
99100663289CPHF Random Extension (CLS) fuse
163117440414SCPHF Random Extension (CLS) fuse
164117440504CPHF Random Extension (CLS) fuse
236134217614SCPHF Random Extension (CLS) fuse
268193100429SCPHF Random Extension (CLS) fuse fuse
269260891369Add 1 factors
289268435408Power CT17^2
290336377548Add 1 factors
291367313698Add 2 factors
292389946448Add 3 factors
294418956651Add 5 factors
295434190209Add 6 factors
305443700208Add 16 factors
306482264944Add 17 factors
311518964478Martirosyan-TVT variant
316519488666Martirosyan-TVT
512536870414perfect hash family32,512,16,c fuse
513536870816perfect hash family32,513,17
514618572156Add 1 factors
515665403206Add 2 factors
536670883782Martirosyan-TVT
538738674722Martirosyan-TVT
544746218761Martirosyan-TVT
545746562201Martirosyan-TVT variant
546747552709Martirosyan-TVT
547760917157Martirosyan-TVT variant
557776945029Martirosyan-TVT variant
578777592097Martirosyan-TVT
600805179088Power CT25^2T1
625805240528Power CT25^2
639805305678perfect hash family6,639,236
641864188493perfect hash family6,651,237S5
649889192232Power N-CT41^2Arc(3)T24
664889192277Power N-CT41^2Arc(2)T24
680889192322Power N-CT41^2T24T1
697889192367Power N-CT41^2T24
703896552628Power N-CT41^2Arc(2)T23
720896552673Power N-CT41^2T23T1
738896552718Power N-CT41^2T23
742910314768Power N-CT41^2Arc(2)T22
760910314813Power N-CT41^2T22T1
779910314858Power N-CT41^2T22
781919460936Power N-CT41^2Arc(2)T21
800919460981Power N-CT41^2T21T1
820919461026Power N-CT41^2T21
825920645522Power N-CT41^2T16T8
840920649557Power N-CT41^2Trin1,8,15
858920649602Power N-CT41^2T15T8
875921694082Power N-CT41^2T16T6
890921698117Power N-CT41^2Trin1,6,15
910921698162Power N-CT41^2T15T6
915922681112Power N-CT41^2Arc(3)T17
937922681157Power N-CT41^2Arc(2)T17
960922681202Power N-CT41^2T17T1
984922681247Power N-CT41^2T17
1000922742642Power N-CT41^2T16T1
1025922742687Power N-CT41^2T16
1040922746722Power N-CT41^2T15T1
1066922746767Power N-CT41^2T15
1089935329682Power N-CT41^2T8T8
1128936378197Power N-CT41^2Trin1,6,8
1155936378242Power N-CT41^2T8T6
1170937426577Power N-CT41^2Arc(6)T8
1198937426622Power N-CT41^2Arc(5)T8
1227937426667Power N-CT41^2Arc(4)T8
1257937426712Power N-CT41^2Arc(3)T8
1288937426757Power N-CT41^2Arc(2)T8
1320937426802Power N-CT41^2T8T1
1353937426847Power N-CT41^2T8
1366938475317Power N-CT41^2Arc(2)T6
1400938475362Power N-CT41^2T6T1
1435938475407Power N-CT41^2T6
1450939523742Power N-CT41^2Arc(6)
1486939523787Power N-CT41^2Arc(5)
1523939523832Power N-CT41^2Arc(4)
1561939523877Power N-CT41^2Arc(3)
1600939523922Power N-CT41^2T1T1
1640939523967Power N-CT41^2T1
1681939524012Power N-CT41^2
16821049600552Add 1 factors
16831110190802Add 2 factors
18801130364422Power N-CT47^2T7
19271130364467Power N-CT47^2T6
19641141898582Power N-CT53^2Trin2,2,13
20131141898627Power N-CT53^2Trin2,2,12
20401142947142Power N-CT53^2T13T2
20911142947187Power N-CT53^2T12T2
21201143995702Power N-CT53^2T13
21731143995747Power N-CT53^2T12
22131145044502perfect hash family14,2213,51
22401156578422Power N-CT59^2T19T3
22961156578467Power N-CT59^2T18T3
25031156578662Power N-CT53^2Trin2,2,2
26011157627222Power N-CT53^2T2T2
27031158675782Power N-CT53^2T2
28121159724342Power N-CT53^2+3
29771171258502Power N-CT59^2Trin3,3,3
31361172307062Power N-CT59^2T3T3
34161173355622Power N-CT61^2T5
37261174404182perfect hash family14,3726,66
37511201667222Power N-CT67^2Arc(12)
38071215298742Power N-CT67^2Arc(11)
39431226833369Power N-CT73^2Trin7,7,7
43561240464889Power N-CT73^2T7T7
48181254096409Power N-CT73^2T7
52141266679129Power N-CT79^2T13
53291267727929Power N-CT73^2
53471277164729Power N-CT83^2Arc(2)T17
54121278213289Power N-CT83^2T17T1
58741279261849Power N-CT89^2T23
62441281359209Power N-CT79^2+3
62531286602009Power N-CT83^2Arc(8)
63291287650569Power N-CT83^2Arc(7)
64061288699129Power N-CT83^2Arc(6)
64841289747689Power N-CT83^2Arc(5)
65631290796249Power N-CT83^2Arc(4)
66431291844809Power N-CT83^2Arc(3)
67241292893369Power N-CT83^2T1T1
72981293941929Power N-CT89^2T7
79211294990489Power N-CT89^2
79541306525549Power N-CT97^2T15
80311307573584Power N-CT97^2Arc(7)T8
81141307573659Power N-CT97^2Arc(6)T8
81981307573734Power N-CT97^2Arc(5)T8
82831307573809Power N-CT97^2Arc(4)T8
83691307573884Power N-CT97^2Arc(3)T8
84561307573959Power N-CT97^2Arc(2)T8
85441307574034Power N-CT97^2T8T1
86331307574109Power N-CT97^2T8
86611308622144Power N-CT97^2Arc(8)
87511308622219Power N-CT97^2Arc(7)
88421308622294Power N-CT97^2Arc(6)
89341308622369Power N-CT97^2Arc(5)
90271308622444Power N-CT97^2Arc(4)
91211308622519Power N-CT97^2Arc(3)
92161308622594Power N-CT97^2T1T1
93121308622669Power N-CT97^2T1
94111308622744Power N-CT97^2+2
96071476393994Power N-CT101^2Trin2,2,2
98011493171119Power N-CT101^2T2T2
100001508899609perfect hash family13,12769,113T24
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