Table for CAN(5,k,12) 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,12) 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
6248832Derive from strength 6
7294080Augment OA
8318386Augment OA
9343426Augment OA
10366175orthogonal array fuse postop NCK
11368394orthogonal array fuse postop NCK
12370873orthogonal array fuse postop NCK
13371076orthogonal array fuse postop NCK
14371273orthogonal array fuse postop NCK
15632736extended OA (Colbourn) special fuse
16714023Quad-Restricted SCPHF RE (C) fuse
17740387Tri-Restricted SCPHF RE (C) fuse
19742571SCPHF Random Extension (CLS) fuse
281085303Quad-Restricted SCPHF RE (C) fuse
291111667Tri-Restricted SCPHF RE (C) fuse
301113851SCPHF Random Extension (CLS) fuse
311113875CPHF Random Extension (CLS) fuse
411428035Quad-Restricted SCPHF RE (C) fuse
471456583Quad-Restricted SCPHF RE (C) fuse
521482947Tri-Restricted SCPHF RE (C) fuse
541484975Path-Restricted SCPHF RE (C) fuse
721799315Quad-Restricted SCPHF RE (C) fuse
801827863Quad-Restricted SCPHF RE (C) fuse
891856411SCPHF Random Extension (CLS) fuse
901856459CPHF Random Extension (CLS) fuse
1062142047Quad-Restricted SCPHF RE (C) fuse
1192170595Quad-Restricted SCPHF RE (C) fuse
1382199143Quad-Restricted SCPHF RE (C) fuse
1532227691SCPHF Random Extension (CLS) fuse
1802513327Quad-Restricted SCPHF RE (C) fuse
2032541875Quad-Restricted SCPHF RE (C) fuse
2372570423Quad-Restricted SCPHF RE (C) fuse
2642598971SCPHF Random Extension (CLS) fuse
2722599043CPHF Random Extension (CLS) fuse
4452970251SCPHF Random Extension (CLS) fuse
4462970335CPHF Random Extension (CLS) fuse
6623341531SCPHF Random Extension (CLS) fuse
6634466171Add 1 factors
6645133035Add 2 factors
6655361131Add 3 factors
6665668296Add 4 factors
6675706411Add 5 factors
6726181511Add 13 factors
6756183539Add 13 factors
6767308179Add 13 factors
6777975043Add 13 factors
6788203139Add 13 factors
6798510304Add 13 factors
6808550146Add 5 factors
6859025547Add 13 factors
6889027575Add 13 factors
7749653310perfect hash family3,990,661T216
7759653394perfect hash family3,990,661T215
99110024590perfect hash family3,991,662
99211263278Add 1 factors
102611294640Martirosyan-TVT
120411535936Martirosyan-TVT
120511591376Martirosyan-TVT variant
122811646816Martirosyan-TVT
129012083663Martirosyan-Colbourn
132412107687Martirosyan-Colbourn
136012623632perfect hash family4,3125,625T353
136312764322Power N-CT47^2T18
141012766506Power N-CT47^2T17
145712766530Power N-CT47^2T16
168112852306Power N-CT41^2
222512994840perfect hash family4,3125,625T180
223012994924perfect hash family4,3125,625T179
226613326234Power N-CT53^2Arc(5)T6
230913328262Power N-CT53^2Arc(4)T6
235313330290Power N-CT53^2Arc(3)T6
239813332318Power N-CT53^2Arc(2)T6
244413334346Power N-CT53^2T6T1
249113336374Power N-CT53^2T6
250613352598Power N-CT53^2Arc(6)
255413354626Power N-CT53^2Arc(5)
260313356654Power N-CT53^2Arc(4)
265313358682Power N-CT53^2Arc(3)
270413360710Power N-CT53^2T1T1
275613362738Power N-CT53^2T1
281013364766Power N-CT53^2+1
312513366120perfect hash family4,3125,625
312615014932Add 1 factors
312715754660Add 2 factors
336415848910Power N-CT73^2Arc(9)T21
349215850938Power N-CT73^2Arc(9)T19
369215877458Power N-CT71^2T19
383415879486Power N-CT71^2T17
383516050774Power N-CT73^2Arc(2)T19
388816079322Power N-CT73^2T19T1
410816105842Power N-CT79^2T27
426616107870Power N-CT79^2T25
458016165278Power N-CT73^2Arc(9)T2
504216193826Power N-CT71^2+1
504316336566Power N-CT73^2Arc(4)
511316365114Power N-CT73^2Arc(3)
518416393662Power N-CT73^2T1T1
568816422210Power N-CT79^2T7
624216450758Power N-CT79^2+1
640816650594Power N-CT89^2T17
712016679142Power N-CT89^2T9
792116707690Power N-CT89^2
792216708122Power N-CT89^2+1
792318624630Add 1 factors
801018707190Power N-CT97^2T8T7
810018707238Power N-CT97^2T7T7
824018964230perfect hash family9,10609,103T23
916718992778perfect hash family9,10609,103T14
927018992826perfect hash family9,10609,103T13
1000019221162perfect hash family9,12769,113T24
 Graph: