Table for CAN(5,k,18) 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,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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61889568Derive from strength 6
82235668Augment OA
92360788Augment OA
202476097orthogonal array fuse
214444632extended OA (Colbourn) special fuse
246436333orthogonal array fuse fuse fuse fuse fuse
367297955Quad-Restricted SCPHF RE (C) fuse
397421417Tri-Restricted SCPHF RE (C) fuse
407427915Path-Restricted SCPHF RE (C) fuse
609643733Quad-Restricted SCPHF RE (C) fuse
649774035Quad-Restricted SCPHF RE (C) fuse
749904337SCPHF Random Extension (CLS) fuse
10512119813Quad-Restricted SCPHF RE (C) fuse
12412250115Quad-Restricted SCPHF RE (C) fuse
13612380417SCPHF Random Extension (CLS) fuse
13712380489CPHF Random Extension (CLS) fuse
17614465591Quad-Restricted SCPHF RE (C) fuse
20314595893Quad-Restricted SCPHF RE (C) fuse
23314726195Quad-Restricted SCPHF RE (C) fuse
26214856497SCPHF Random Extension (CLS) 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
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
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
391388748118Power N-CT67^2Trin3,3,3
438088878420Power N-CT73^2T13
467289008722Power N-CT73^2T9
533089139024Power N-CT73^2+1
533199188064Add 1 factors
5476104647356Power N-CT79^2T5T5
6180106602228perfect hash family9,10609,103T43
6592106732530perfect hash family9,10609,103T39
7622106862832perfect hash family9,10609,103T29
8362107905248perfect hash family9,12769,113T39
8850108947664perfect hash family9,14986,126T52
10000109078308Power N-CT101^2