Table for CAN(5,k,19) 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,19) 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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202476099orthogonal array
214815018extended OA (Colbourn)
246436335orthogonal array fuse fuse fuse fuse
3672979574-Restricted SCPHF RE (CL)
4074214193-Restricted SCPHF RE (CL)
417428259SCPHF Random Extension (CLS)
6096437354-Restricted SCPHF RE (CL)
6897740374-Restricted SCPHF RE (CL)
7598974993-Restricted SCPHF RE (CL)
107121198154-Restricted SCPHF RE (CL)
126122501174-Restricted SCPHF RE (CL)
136123735793-Restricted SCPHF RE (CL)
143123800772-Restricted SCPHF RE (CL)
180144655934-Restricted SCPHF RE (CL)
207145958954-Restricted SCPHF RE (CL)
233147261974-Restricted SCPHF RE (CL)
258148496593-Restricted SCPHF RE (CL)
262148561572-Restricted SCPHF RE (CL)
26914856589CPHF Random Extension (CLS)
343169416734-Restricted SCPHF RE (CL)
373170719754-Restricted SCPHF RE (CL)
446172022774-Restricted SCPHF RE (CL)
461173257393-Restricted SCPHF RE (CL)
466173322372-Restricted SCPHF RE (CL)
47017332579SCPHF Random Extension (CLS)
47317332687CPHF Random Extension (CLS)
597194177534-Restricted SCPHF RE (CL)
671195480554-Restricted SCPHF RE (CL)
723196783574-Restricted SCPHF RE (CL)
787198018193-Restricted SCPHF RE (CL)
78828931509Add 1 factors
78935442505Add 2 factors
79037788283Add 3 factors
80440114567Add 19 factors
80640134061Add 19 factors
80749263751Add 19 factors
80855774747Add 19 factors
82156682450perfect hash family3,1083,723T262
82656688948perfect hash family3,1083,723T257
83056689290perfect hash family3,1083,723T253
83356689398perfect hash family3,1083,723T250
83856805912perfect hash family3,1179,787T341
85356929374perfect hash family3,1179,787T326
85856935872perfect hash family3,1179,787T321
86256936214perfect hash family3,1179,787T317
86556936322perfect hash family3,1179,787T314
89458253256perfect hash family3,894,597
93158513860perfect hash family3,1005,671T74
100558644162perfect hash family3,1005,671
103158904766perfect hash family3,1083,723T52
108359035068perfect hash family3,1083,723
111559281992perfect hash family3,1179,787T64
117959405454perfect hash family3,1179,787
126566586878Power N-CT41^2Trin1,5,5
129666593718Power N-CT41^2T5T5
130666689820Power N-CT41^2Arc(5)T5
133866696660Power N-CT41^2Arc(4)T5
137166703500Power N-CT41^2Arc(3)T5
140566710340Power N-CT41^2Arc(2)T5
144066717180Power N-CT41^2T5T1
147666724020Power N-CT41^2T5
148666820122Power N-CT41^2Arc(5)
152366826962Power N-CT41^2Arc(4)
156166833802Power N-CT41^2Arc(3)
160066840642Power N-CT41^2T1T1
164066847482Power N-CT41^2T1
168166854322Power N-CT41^2
171575585834perfect hash family4,3125,625T282
186575716136perfect hash family4,3125,625T252
223075846438perfect hash family4,3125,625T179
230575969900perfect hash family4,3125,625T164
233075976398perfect hash family4,3125,625T159
235075976740perfect hash family4,3125,625T155
236575976848perfect hash family4,3125,625T152
298578061914perfect hash family4,3125,625T28
312578192216perfect hash family4,3125,625
348286793606Power N-CT59^2+1
348387445116Power N-CT61^2Arc(4)
354187575418Power N-CT61^2Arc(3)
360087705720Power N-CT61^2T1T1
402087836022Power N-CT67^2T7
449087966324Power N-CT67^2+1
462488830558Power N-CT71^2T3T3
496488954020Power N-CT73^2T5
533189077482Power N-CT73^2+2
5332100312524Add 1 factors
5341102411378Power N-CT79^2Trin4,4,4
5625104633694Power N-CT79^2T4T4
6420106602246perfect hash family9,11449,107T47
7276106732548perfect hash family9,11449,107T39
8025106856010perfect hash family9,11449,107T32
8142107774964perfect hash family9,14986,126T58
8968107898426perfect hash family9,14986,126T51
10000109078326Power N-CT101^2