Table for CAN(5,k,13) 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,13) 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
14371293orthogonal array
15711828extended OA (Colbourn)
167140254-Restricted SCPHF RE (CL)
187403893-Restricted SCPHF RE (CL)
19742573SCPHF Random Extension (CLS)
2810853054-Restricted SCPHF RE (CL)
3111116693-Restricted SCPHF RE (CL)
4414280374-Restricted SCPHF RE (CL)
4814565854-Restricted SCPHF RE (CL)
5314829493-Restricted SCPHF RE (CL)
5514849772-Restricted SCPHF RE (CL)
7317993174-Restricted SCPHF RE (CL)
8118278654-Restricted SCPHF RE (CL)
8818542293-Restricted SCPHF RE (CL)
9218562572-Restricted SCPHF RE (CL)
10621420494-Restricted SCPHF RE (CL)
12021705974-Restricted SCPHF RE (CL)
14021991454-Restricted SCPHF RE (CL)
15322255093-Restricted SCPHF RE (CL)
15622275372-Restricted SCPHF RE (CL)
1572227693SCPHF Random Extension (CLS)
18625133294-Restricted SCPHF RE (CL)
20925418774-Restricted SCPHF RE (CL)
23725704254-Restricted SCPHF RE (CL)
26125967893-Restricted SCPHF RE (CL)
27125988172-Restricted SCPHF RE (CL)
2722598973SCPHF Random Extension (CLS)
32428846094-Restricted SCPHF RE (CL)
34929131574-Restricted SCPHF RE (CL)
37929417054-Restricted SCPHF RE (CL)
44229680693-Restricted SCPHF RE (CL)
45029700972-Restricted SCPHF RE (CL)
4522970253SCPHF Random Extension (CLS)
4542970337CPHF Random Extension (CLS)
52332558894-Restricted SCPHF RE (CL)
56732844374-Restricted SCPHF RE (CL)
65333129854-Restricted SCPHF RE (CL)
74933393493-Restricted SCPHF RE (CL)
76433413772-Restricted SCPHF RE (CL)
7673341533SCPHF Random Extension (CLS)
7684949737Add 1 factors
7695925205Add 2 factors
7706267937Add 3 factors
7726372769Add 13 factors
7776610513Add 13 factors
7806610669Add 13 factors
7818218873Add 13 factors
7829194341Add 13 factors
7839444493Add 16 factors
7859641905Add 13 factors
8159646764perfect hash family3,1122,749T307
8239648792perfect hash family3,1122,749T299
8259648948perfect hash family3,1122,749T297
8279649032perfect hash family3,1122,749T295
8309652848perfect hash family3,1143,763T313
8329653004perfect hash family3,1143,763T311
8349653088perfect hash family3,1143,763T309
8369653400perfect hash family3,1149,767T313
8499853308perfect hash family3,849,567
8929910404perfect hash family3,978,653T86
8969934584perfect hash family3,1122,749T226
9039938640perfect hash family3,1143,763T240
9789938952perfect hash family3,978,653
10269991680perfect hash family3,1122,749T96
10339995736perfect hash family3,1143,763T110
10359996048perfect hash family3,1149,767T114
112210018044perfect hash family3,1122,749
112910022100perfect hash family3,1143,763T14
113110022412perfect hash family3,1149,767T18
114410024128perfect hash family3,1144,764
114610024440perfect hash family3,1149,767T3
114910024596perfect hash family3,1149,767
115011632800Add 1 factors
118512509376perfect hash family4,3125,625T388
120412509592Power N-CT43^2T15
130512535740perfect hash family4,3125,625T364
133312535956Power N-CT43^2T12
135512537768perfect hash family4,3125,625T354
136012537924perfect hash family4,3125,625T353
136412735792Power N-CT47^2T16T3
145712764340Power N-CT47^2T16
162012823560perfect hash family4,3125,625T301
174512852108perfect hash family4,3125,625T276
185012852324Power N-CT43^2+1
189512880656perfect hash family4,3125,625T246
221012907020perfect hash family4,3125,625T183
225012909048perfect hash family4,3125,625T175
226012909204perfect hash family4,3125,625T173
227012909288perfect hash family4,3125,625T171
261513194840perfect hash family4,3125,625T102
283513223388perfect hash family4,3125,625T58
312513251936perfect hash family4,3125,625
312615200844Add 1 factors
321215822564Power N-CT73^2T29
350415851112Power N-CT73^2T25
386915877476Power N-CT73^2T20
401515879504Power N-CT73^2T18
418716105860Power N-CT79^2T26
434516107888Power N-CT79^2T24
532916193844Power N-CT73^2
576716422228Power N-CT79^2T6
624316450776Power N-CT79^2+2
640316608960Power N-CT83^2Trin2,2,2
656116635324Power N-CT83^2T2T2
672316661688Power N-CT83^2T2
673816665744Power N-CT89^2Arc(6)T8
681416667772Power N-CT89^2Arc(5)T8
689116669800Power N-CT89^2Arc(4)T8
696916671828Power N-CT89^2Arc(3)T8
704816673856Power N-CT89^2Arc(2)T8
712816675884Power N-CT89^2T8T1
720916677912Power N-CT89^2T8
723716690080Power N-CT89^2Arc(8)
731916692108Power N-CT89^2Arc(7)
740216694136Power N-CT89^2Arc(6)
748616696164Power N-CT89^2Arc(5)
757116698192Power N-CT89^2Arc(4)
765716700220Power N-CT89^2Arc(3)
774416702248Power N-CT89^2T1T1
783216704276Power N-CT89^2T1
792416706304Power N-CT89^2+3
802918421056Power N-CT97^2Trin5,5,5
809618704820Power N-CT97^2T9T5
846418706848Power N-CT97^2T5T5
906418990612perfect hash family9,10609,103T15
947618992640perfect hash family9,10609,103T11
994419218996perfect hash family9,12769,113T25
1000019221024perfect hash family9,11881,109T17
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