Table for CAN(5,k,18) for k up to 10000

Last Updated Sun Nov 19 11:04:53 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,18) 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
61889568Derive from strength 6
71955178Ji-Li-Yin
82235668Augment OA
92360788Augment OA
202476097orthogonal array fuse
214444632extended OA (Colbourn) special fuse
246436333orthogonal array fuse fuse fuse fuse fuse
3672979554-Restricted SCPHF RE (CL) fuse
3974214173-Restricted SCPHF RE (CL) fuse
4074279152-Restricted SCPHF RE (CL) fuse
6096437334-Restricted SCPHF RE (CL) fuse
6497740354-Restricted SCPHF RE (CL) fuse
7198974973-Restricted SCPHF RE (CL) fuse
7399039952-Restricted SCPHF RE (CL) fuse
749904337SCPHF Random Extension (CLS) fuse
105121198134-Restricted SCPHF RE (CL) fuse
124122501154-Restricted SCPHF RE (CL) fuse
130123735773-Restricted SCPHF RE (CL) fuse
142123800752-Restricted SCPHF RE (CL) fuse
176144655914-Restricted SCPHF RE (CL) fuse
203145958934-Restricted SCPHF RE (CL) fuse
233147261954-Restricted SCPHF RE (CL) fuse
258148496573-Restricted SCPHF RE (CL) fuse
262148561552-Restricted SCPHF RE (CL) fuse
26914856587CPHF Random Extension (CLS) fuse
46317332577SCPHF Random Extension (CLS) fuse
46917332685CPHF Random Extension (CLS) fuse
78219808657SCPHF Random Extension (CLS) fuse
78326958041Add 1 factors
78432091497Add 2 factors
78535621405Add 3 factors
78636211361Add 4 factors
78736424148Add 5 factors
80138423375Add 19 factors
80245572759Add 19 factors
80350706215Add 19 factors
80454236123Add 19 factors
80554826079Add 19 factors
80655038866Add 19 factors
81056546586Martirosyan-TVT
85256949888perfect hash family3,1170,781T318
85856949996perfect hash family3,1170,781T312
117159425968perfect hash family3,1171,782
118864505448Power N-CT41^2Arc(9)T5
128464628910Power N-CT41^2Arc(9)T2
131566844728Power N-CT41^2Arc(8)T2
134866851226Power N-CT41^2Arc(9)
138169067044Power N-CT41^2Arc(8)
141571282862Power N-CT41^2Arc(7)
145073498680Power N-CT41^2Arc(6)
145175505950Martirosyan-TVT variant
148675714498Power N-CT41^2Arc(5)
149176160142Martirosyan-TVT variant
150376206870Martirosyan-TVT variant
150776253598Martirosyan-TVT variant
150976300326Martirosyan-TVT variant
156476533966Martirosyan-TVT
231576758544perfect hash family4,3125,625T162
234576758652perfect hash family4,3125,625T156
312579234624perfect hash family4,3125,625
348286793588Power N-CT59^2+1
348387445098Power N-CT61^2Arc(4)
354187575400Power N-CT61^2Arc(3)
360087705702Power N-CT61^2T1T1
366087836004Power N-CT61^2T1
372487966306Power N-CT61^2+3
384088700238Power N-CT67^2T7T3
391388707078Power N-CT67^2Trin3,3,3
426088823700Power N-CT71^2T11
438088875684Power N-CT73^2T13
454488954002Power N-CT71^2T7
467289005986Power N-CT73^2T9
504189077464Power N-CT71^2
518389129448Power N-CT73^2T2
532989135946Power N-CT73^2
533089139024Power N-CT73^2+1
533199188064Add 1 factors
5402104647014Power N-CT79^2T6T5
5476104647356Power N-CT79^2T5T5
6180106602228perfect hash family9,10609,103T43
6592106732530perfect hash family9,10609,103T39
7313106855992perfect hash family9,10609,103T32
7519106862490perfect hash family9,10609,103T30
7622106862832perfect hash family9,10609,103T29
8023107898408perfect hash family9,12769,113T42
8249107904906perfect hash family9,12769,113T40
8362107905248perfect hash family9,12769,113T39
8496108886104perfect hash family9,14986,126T55
8732108892602perfect hash family9,14986,126T53
8850108892944perfect hash family9,14986,126T52
10000109078308Power N-CT101^2
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