Table for CAN(5,k,18) 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,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
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
342169416714-Restricted SCPHF RE (CL) fuse
373170719734-Restricted SCPHF RE (CL) fuse
446172022754-Restricted SCPHF RE (CL) fuse
461173257373-Restricted SCPHF RE (CL) fuse
464173322352-Restricted SCPHF RE (CL) fuse
47017332577SCPHF Random Extension (CLS) fuse
47317332685CPHF Random Extension (CLS) fuse
597194177514-Restricted SCPHF RE (CL) fuse
649195480534-Restricted SCPHF RE (CL) 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
83556819586perfect hash family3,1170,781T335
85056943048perfect hash family3,1170,781T320
85356949546perfect hash family3,1170,781T317
85956949888perfect hash family3,1170,781T311
86256949996perfect hash family3,1170,781T308
89458253250perfect hash family3,894,597
92058513854perfect hash family3,972,649T52
97258644156perfect hash family3,972,649
98659035062perfect hash family3,1170,781T184
103859165364perfect hash family3,1170,781T132
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
171075585826perfect hash family4,3125,625T283
186575716128perfect hash family4,3125,625T252
223075846430perfect hash family4,3125,625T179
230575969892perfect hash family4,3125,625T164
232075976390perfect hash family4,3125,625T161
235075976732perfect hash family4,3125,625T155
236575976840perfect hash family4,3125,625T152
298578061906perfect hash family4,3125,625T28
312578192208perfect 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