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

Last Updated Wed Jun 6 17:38:18 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)
3341760334-Restricted SCPHF RE (CL)
3742546413-Restricted SCPHF RE (CL)
3942592652-Restricted SCPHF RE (CL)
5655123694-Restricted SCPHF RE (CL)
6155958734-Restricted SCPHF RE (CL)
6856744813-Restricted SCPHF RE (CL)
695679425CPHF Random Extension (CLS)
9769322094-Restricted SCPHF RE (CL)
11270157134-Restricted SCPHF RE (CL)
12070943213-Restricted SCPHF RE (CL)
12770989452-Restricted SCPHF RE (CL)
1287099281CPHF Random Extension (CLS)
15682685454-Restricted SCPHF RE (CL)
18183520494-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-Restricted SCPHF RE (CL)
30997718894-Restricted SCPHF RE (CL)
35898553934-Restricted SCPHF RE (CL)
40099340013-Restricted SCPHF RE (CL)
40799386252-Restricted SCPHF RE (CL)
4089938993CPHF Random Extension (CLS)
480111082254-Restricted SCPHF RE (CL)
555111917294-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
787198018153-Restricted SCPHF RE (CL) fuse fuse
78825059303Add 1 factors
78928906471Add 2 factors
79030242807Add 3 factors
79831500535Add 17 factors
79931505159Add 17 factors
80431579143Add 17 factors
83133575184perfect hash family3,831,555
86333742192perfect hash family3,927,619T64
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
122142467792Power N-CT37^2T4
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
313650195840Power N-CT59^2T3T3
341650279344Power N-CT61^2T5
372150362848Power N-CT61^2
375250908208Power N-CT67^2T11
408750991712Power N-CT67^2T6
449051070320Power N-CT67^2+1
449151114816Power N-CT67^2+2
449257482064Add 1 factors
449458621632Power N-CT71^2Trin2,3,3
456058626576Power N-CT71^2Trin2,2,3
462758631520Power N-CT71^2Trin2,2,2
469259879360Power N-CT71^2T3T2
476159884304Power N-CT71^2T2T2
543260970032Power N-CT97^2T41
591761053536Power N-CT97^2T36
659661132144Power N-CT97^2T29
669361137088Power N-CT97^2T28
741261800176perfect hash family9,11881,109T41
752161805120perfect hash family9,11881,109T40
940962389872Power N-CT97^2
1000063057904perfect hash family9,11449,107T10
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