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

Last Updated Wed Jun 6 17:38:18 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
4074214173-Restricted SCPHF RE (CL) fuse
417428257SCPHF Random Extension (CLS) fuse
6096437334-Restricted SCPHF RE (CL) fuse
6897740354-Restricted SCPHF RE (CL) fuse
7598974973-Restricted SCPHF RE (CL) fuse
107121198134-Restricted SCPHF RE (CL) fuse
126122501154-Restricted SCPHF RE (CL) fuse
136123735773-Restricted SCPHF RE (CL) fuse
143123800752-Restricted SCPHF RE (CL) fuse
180144655914-Restricted SCPHF RE (CL) fuse
207145958934-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
343169416714-Restricted SCPHF RE (CL) fuse
373170719734-Restricted SCPHF RE (CL) fuse
446172022754-Restricted SCPHF RE (CL) fuse
461173257373-Restricted SCPHF RE (CL) fuse
466173322352-Restricted SCPHF RE (CL) fuse
47017332577SCPHF Random Extension (CLS) fuse
47317332685CPHF Random Extension (CLS) fuse
597194177514-Restricted SCPHF RE (CL) fuse
671195480534-Restricted SCPHF RE (CL) fuse
723196783554-Restricted SCPHF RE (CL) fuse
787198018173-Restricted SCPHF RE (CL) fuse
78826951201Add 1 factors
78932084657Add 2 factors
79035614565Add 3 factors
79136204521Add 4 factors
79236417308Add 5 factors
80638416535Add 19 factors
80745565919Add 19 factors
80850699375Add 19 factors
80954229283Add 19 factors
81054819239Add 19 factors
81155032026Add 19 factors
82156682444perfect hash family3,1083,723T262
82656688942perfect hash family3,1083,723T257
83056689284perfect hash family3,1083,723T253
83356689392perfect hash family3,1083,723T250
83856805906perfect hash family3,1179,787T341
85356929368perfect hash family3,1179,787T326
85856935866perfect hash family3,1179,787T321
86256936208perfect hash family3,1179,787T317
86556936316perfect hash family3,1179,787T314
89458253250perfect hash family3,894,597
93158513854perfect hash family3,1005,671T74
100558644156perfect hash family3,1005,671
103158904760perfect hash family3,1083,723T52
108359035062perfect hash family3,1083,723
111559281986perfect hash family3,1179,787T64
117959405448perfect hash family3,1179,787
118066554832Add 1 factors
126566586860Power N-CT41^2Trin1,5,5
129666593700Power N-CT41^2T5T5
130666689802Power N-CT41^2Arc(5)T5
133866696642Power N-CT41^2Arc(4)T5
137166703482Power N-CT41^2Arc(3)T5
140566710322Power N-CT41^2Arc(2)T5
144066717162Power N-CT41^2T5T1
147666724002Power N-CT41^2T5
148666820104Power N-CT41^2Arc(5)
152366826944Power N-CT41^2Arc(4)
156166833784Power N-CT41^2Arc(3)
160066840624Power N-CT41^2T1T1
164066847464Power N-CT41^2T1
168166854304Power N-CT41^2
171575585826perfect hash family4,3125,625T282
186575716128perfect hash family4,3125,625T252
223075846430perfect hash family4,3125,625T179
230575969892perfect hash family4,3125,625T164
233075976390perfect hash family4,3125,625T159
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
402087836004Power N-CT67^2T7
449087966306Power N-CT67^2+1
462488830540Power N-CT71^2T3T3
496488954002Power N-CT73^2T5
533189077464Power N-CT73^2+2
533299126504Add 1 factors
5341102411360Power N-CT79^2Trin4,4,4
5625104633676Power N-CT79^2T4T4
6420106602228perfect hash family9,11449,107T47
7276106732530perfect hash family9,11449,107T39
8025106855992perfect hash family9,11449,107T32
8142107774946perfect hash family9,14986,126T58
8968107898408perfect hash family9,14986,126T51
10000109078308Power N-CT101^2