Table for CAN(5,k,17) for k up to 10000

Last Updated Sat Jul 28 12:53:06 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;5,k,17) 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
181419857orthogonal array
202476095orthogonal array fuse fuse
212839713CPHF Random Extension (CLS)
3441760334-Restricted SCPHF RE (CL)
3742546413-Restricted SCPHF RE (CL)
3942592652-Restricted SCPHF RE (CL)
5655123694,4-Restricted SCPHF RE (CL)
6155958734-Restricted SCPHF RE (CL)
6856744813-Restricted SCPHF RE (CL)
7056791052-Restricted SCPHF RE (CL)
9769322094,4-Restricted SCPHF RE (CL)
11270157134-Restricted SCPHF RE (CL)
12070943213-Restricted SCPHF RE (CL)
12870989452-Restricted SCPHF RE (CL)
15782685454,4,4-Restricted SCPHF RE (CL)
18183520494,4-Restricted SCPHF RE (CL)
19984355534-Restricted SCPHF RE (CL)
21785141613-Restricted SCPHF RE (CL)
21985187852-Restricted SCPHF RE (CL)
2238519057SCPHF Random Extension (CLS)
2288519137CPHF Random Extension (CLS)
27896883854,4,4-Restricted SCPHF RE (CL)
30997718894,4-Restricted SCPHF RE (CL)
35898553934-Restricted SCPHF RE (CL)
40099340013-Restricted SCPHF RE (CL)
40799386252-Restricted SCPHF RE (CL)
4089938993CPHF Random Extension (CLS)
480111082254,4,4-Restricted SCPHF RE (CL)
555111917294,4-Restricted SCPHF RE (CL)
620112752334-Restricted SCPHF RE (CL)
663113538413-Restricted SCPHF RE (CL)
718113584652-Restricted SCPHF RE (CL)
72111358737SCPHF Random Extension (CLS)
72216542241Add 1 factors
723196783534-Restricted SCPHF RE (CL) fuse fuse
838198018153-Restricted SCPHF RE (CL) fuse fuse
851198083132-Restricted SCPHF RE (CL) fuse fuse
85225065801Add 1 factors
85328912969Add 2 factors
85430249305Add 3 factors
85531579143Add 17 factors
86831585641Add 17 factors
92833825696perfect hash family3,928,620
95033982912perfect hash family3,993,663T43
97733992160perfect hash family3,1074,717T97
97933992704perfect hash family3,1080,721T101
99334061520perfect hash family3,993,663
102034070768perfect hash family3,1074,717T54
102234071312perfect hash family3,1080,721T58
107534075392perfect hash family3,1075,718
107734075936perfect hash family3,1080,721T3
108034076208perfect hash family3,1080,721
108139407680Add 1 factors
110240839584perfect hash family9,1312,40S7
113042092688perfect hash family9,1312,40S6
115642389184Power N-CT37^2T3T3
125842467792Power N-CT37^2T3
136942546400Power N-CT37^2
137142592640Power N-CT37^2+2
139043749904perfect hash family4,3125,625T347
154543833408perfect hash family4,3125,625T316
179043916912perfect hash family4,3125,625T267
200043995520perfect hash family4,3125,625T225
203544000144perfect hash family4,3125,625T218
204044000512perfect hash family4,3125,625T217
240045169744perfect hash family4,3125,625T145
277545253248perfect hash family4,3125,625T70
310045336752perfect hash family4,3125,625T5
312545415360perfect hash family4,3125,625
350849692096Power N-CT71^2Arc(9)T15
381849775600Power N-CT71^2Arc(9)T10
425249854208Power N-CT71^2Arc(9)T3
431449858832Power N-CT71^2Arc(9)T2
449051070320Power N-CT67^2+1
449251111936Power N-CT67^2+3
450152365040Power N-CT71^2Arc(8)
456553618144Power N-CT71^2Arc(7)
463054871248Power N-CT71^2Arc(6)
469656124352Power N-CT71^2Arc(5)
476357377456Power N-CT71^2Arc(4)
483158630560Power N-CT71^2Arc(3)
490059883664Power N-CT71^2T1T1
543260970032Power N-CT97^2T41
591761053536Power N-CT97^2T36
659661132144Power N-CT97^2T29
679061136768Power N-CT97^2T27
741261800176perfect hash family9,11881,109T41
763061804800perfect hash family9,11881,109T39
940962389872Power N-CT97^2
1000063057904perfect hash family9,11449,107T10
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