Table for CAN(5,k,7) for k up to 10000

Last Updated Fri Sep 15 07:41:46 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;5,k,7) 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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816807orthogonal array
927639orthogonal array fuse postop NCK
1231213Quad-Restricted SCPHF RE (C)
1333271Tri-Restricted SCPHF RE (C)
1433565Path-Restricted SCPHF RE (C)
1948013Quad-Restricted SCPHF RE (C)
2050071Tri-Restricted SCPHF RE (C)
2150407SCPHF Random Extension (CLS)
2250419CPHF Random Extension (CLS)
2662419Quad-Restricted SCPHF RE (C)
2864813Quad-Restricted SCPHF RE (C)
2966871Tri-Restricted SCPHF RE (C)
3067207SCPHF Random Extension (CLS)
3167225CPHF Random Extension (CLS)
3979219Quad-Restricted SCPHF RE (C)
4381613Quad-Restricted SCPHF RE (C)
4683671Tri-Restricted SCPHF RE (C)
4993625Quad-Restricted SCPHF RE (C)
5596019Quad-Restricted SCPHF RE (C)
5798413Quad-Restricted SCPHF RE (C)
67100807SCPHF Random Extension (CLS)
75110425Quad-Restricted SCPHF RE (C)
80112819Quad-Restricted SCPHF RE (C)
86115213Quad-Restricted SCPHF RE (C)
95117607SCPHF Random Extension (CLS)
97117643CPHF Random Extension (CLS)
102127225Quad-Restricted SCPHF RE (C)
120129619Quad-Restricted SCPHF RE (C)
130132013Quad-Restricted SCPHF RE (C)
142134407SCPHF Random Extension (CLS)
143134449CPHF Random Extension (CLS)
155144025Quad-Restricted SCPHF RE (C)
174146419Quad-Restricted SCPHF RE (C)
192148813Quad-Restricted SCPHF RE (C)
209151207SCPHF Random Extension (CLS)
211151255CPHF Random Extension (CLS)
230160825Quad-Restricted SCPHF RE (C)
253163219Quad-Restricted SCPHF RE (C)
282165613Quad-Restricted SCPHF RE (C)
307168007SCPHF Random Extension (CLS)
318168061CPHF Random Extension (CLS)
443184807SCPHF Random Extension (CLS)
444184867CPHF Random Extension (CLS)
631201607SCPHF Random Extension (CLS)
632279517Add 1 factors
633322441Add 2 factors
634336847Add 3 factors
638351253Add 7 factors
639424655Add 8 factors
640472087Add 7 factors
641486787Add 7 factors
645501193Add 7 factors
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1333720120Power N-CT43^2T12
1447727326Power N-CT41^2Trin2,2,2
1521729720Power N-CT41^2T2T2
1677732114Power N-CT43^2T4
1849734508Power N-CT43^2
1852753030Power N-CT43^2+3
1861762984Power N-CT47^2Arc(8)
1901772938Power N-CT47^2Arc(7)
1942782892Power N-CT47^2Arc(6)
2215789624perfect hash family4,3125,625T182
2220789684perfect hash family4,3125,625T181
3125806424perfect hash family4,3125,625
3283900072Power N-CT67^2T18
3685902466Power N-CT67^2T12
3819904860Power N-CT67^2T10
4489907254Power N-CT67^2
4891984198Power N-CT73^2T6
5331993816Power N-CT73^2+2
53411008180Power N-CT79^2Trin4,4,4
56251010574Power N-CT79^2T4T4
59251012968Power N-CT79^2T4
62421015362Power N-CT79^2+1
64001032120Power N-CT83^2T3T3
66401034514Power N-CT83^2T3
68921036908Power N-CT83^2+3
71471051272Power N-CT89^2Trin3,3,3
72751051560Power N-CT97^2T22
73961053666Power N-CT89^2T3T3
74441053882Power N-CT97^2Trin2,2,17
76001053918Power N-CT97^2T17T2
77601053954Power N-CT97^2T17
80021056276Power N-CT97^2Trin2,2,11
81701056312Power N-CT97^2T11T2
83421056348Power N-CT97^2T11
88391058670Power N-CT97^2Trin2,2,2
90251058706Power N-CT97^2T2T2
92151058742Power N-CT97^2T2
94091058778Power N-CT97^2
95951135398Power N-CT101^2T6
97971135434Power N-CT101^2T4
100001145016Power N-CT101^2