Table for CAN(5,k,13) for k up to 10000

Last Updated Fri Mar 16 13:42:11 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)
177403893-Restricted SCPHF RE (CL)
19742573SCPHF Random Extension (CLS)
2810853054-Restricted SCPHF RE (CL)
2911116693-Restricted SCPHF RE (CL)
301113853SCPHF Random Extension (CLS)
311113877CPHF Random Extension (CLS)
4114280374-Restricted SCPHF RE (CL)
4714565854-Restricted SCPHF RE (CL)
5214829493-Restricted SCPHF RE (CL)
5414849772-Restricted SCPHF RE (CL)
7217993174-Restricted SCPHF RE (CL)
8018278654-Restricted SCPHF RE (CL)
8518542293-Restricted SCPHF RE (CL)
9018562572-Restricted SCPHF RE (CL)
10621420494-Restricted SCPHF RE (CL)
11921705974-Restricted SCPHF RE (CL)
13821991454-Restricted SCPHF RE (CL)
14622255093-Restricted SCPHF RE (CL)
15122275372-Restricted SCPHF RE (CL)
1532227693SCPHF Random Extension (CLS)
18025133294-Restricted SCPHF RE (CL)
20325418774-Restricted SCPHF RE (CL)
23725704254-Restricted SCPHF RE (CL)
26125967893-Restricted SCPHF RE (CL)
27025988172-Restricted SCPHF RE (CL)
2722599045CPHF Random Extension (CLS)
32428846094-Restricted SCPHF RE (CL)
34929131574-Restricted SCPHF RE (CL)
37929417054-Restricted SCPHF RE (CL)
44129680693-Restricted SCPHF RE (CL)
45029700972-Restricted SCPHF RE (CL)
4522970253SCPHF Random Extension (CLS)
4542970337CPHF Random Extension (CLS)
52232558894-Restricted SCPHF RE (CL)
56232844374-Restricted SCPHF RE (CL)
65233129854-Restricted SCPHF RE (CL)
6623341533SCPHF Random Extension (CLS)
6634706377Add 1 factors
6645681845Add 2 factors
6656024577Add 3 factors
6756367309Add 13 factors
6767732153Add 13 factors
6778707621Add 13 factors
6798911008perfect hash family3,679,454
6889393085Add 13 factors
7009479844perfect hash family3,780,521T80
7099481872perfect hash family3,780,521T71
7119482028perfect hash family3,780,521T69
7139482112perfect hash family3,780,521T67
7209536940perfect hash family3,840,561T120
7299538968perfect hash family3,840,561T111
7319539124perfect hash family3,840,561T109
7339539208perfect hash family3,840,561T107
7659594036perfect hash family3,975,651T210
7749596064perfect hash family3,975,651T201
7769596220perfect hash family3,975,651T199
7789596304perfect hash family3,975,651T197
7799653160perfect hash family3,990,661T211
7819653316perfect hash family3,990,661T209
7839653400perfect hash family3,990,661T207
8019824760perfect hash family3,840,561T39
8419853308perfect hash family3,841,562
8469881856perfect hash family3,975,651T129
8869910404perfect hash family3,975,651T89
9769938952perfect hash family3,976,652
9819996048perfect hash family3,990,661T9
99110024596perfect hash family3,991,662
99211632800Add 1 factors
104111872272perfect hash family4,1041,441
104611878824perfect hash family4,1068,452T11
105811879076perfect hash family4,1084,454T13
106411880852perfect hash family4,1068,452T2
106811881008perfect hash family4,1068,452
107011881092perfect hash family4,1076,453S3
107611881104perfect hash family4,1084,454T4
108011881260perfect hash family4,1084,454T2
108411881344perfect hash family4,1084,454
108612166896perfect hash family4,1092,455S3
108812452448perfect hash family4,1092,455S2
118512509376perfect hash family4,3125,625T388
130512535740perfect hash family4,3125,625T364
135012537768perfect hash family4,3125,625T355
136012537996perfect hash family4,3125,625T353
136312764340Power N-CT47^2T18
141012766524Power N-CT47^2T17
145712766548Power N-CT47^2T16
162012823560perfect hash family4,3125,625T301
174512852108perfect hash family4,3125,625T276
189512880656perfect hash family4,3125,625T246
220512907020perfect hash family4,3125,625T184
225012909048perfect hash family4,3125,625T175
226012909204perfect hash family4,3125,625T173
227012909288perfect hash family4,3125,625T171
261013194840perfect hash family4,3125,625T103
281013223388perfect hash family4,3125,625T63
312513251936perfect hash family4,3125,625
312615200844Add 1 factors
336415848928Power N-CT73^2Arc(9)T21
349215850956Power N-CT73^2Arc(9)T19
369215877476Power N-CT71^2T19
383415879504Power N-CT71^2T17
383516050792Power N-CT73^2Arc(2)T19
388816079340Power N-CT73^2T19T1
410816105860Power N-CT79^2T27
426616107888Power N-CT79^2T25
458016165296Power N-CT73^2Arc(9)T2
504216193844Power N-CT71^2+1
504316336584Power N-CT73^2Arc(4)
511316365132Power N-CT73^2Arc(3)
518416393680Power N-CT73^2T1T1
568816422228Power N-CT79^2T7
624216450776Power N-CT79^2+1
640016635324Power N-CT83^2T3T3
640816649364Power N-CT89^2T17
664016661688Power N-CT83^2T3
680016675884Power N-CT89^2T9T4
712016677912Power N-CT89^2T9
722516702248Power N-CT89^2T4T4
756516704276Power N-CT89^2T4
792216706304Power N-CT89^2+1
810018706848Power N-CT97^2T7T7
824018964248perfect hash family9,10609,103T23
875518990612perfect hash family9,10609,103T18
927018992640perfect hash family9,10609,103T13
960519218996perfect hash family9,12769,113T28
1000019221024perfect hash family9,12769,113T23
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