Table for CAN(5,k,19) for k up to 10000

Last Updated Wed Feb 21 10:43:32 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)
3974214193-Restricted SCPHF RE (CL)
4074279172-Restricted SCPHF RE (CL)
6096437354-Restricted SCPHF RE (CL)
6497740374-Restricted SCPHF RE (CL)
7198974993-Restricted SCPHF RE (CL)
7399039972-Restricted SCPHF RE (CL)
749904339SCPHF Random Extension (CLS)
105121198154-Restricted SCPHF RE (CL)
124122501174-Restricted SCPHF RE (CL)
130123735793-Restricted SCPHF RE (CL)
142123800772-Restricted SCPHF RE (CL)
176144655934-Restricted SCPHF RE (CL)
203145958954-Restricted SCPHF RE (CL)
233147261974-Restricted SCPHF RE (CL)
258148496593-Restricted SCPHF RE (CL)
262148561572-Restricted SCPHF RE (CL)
26914856589CPHF Random Extension (CLS)
342169416734-Restricted SCPHF RE (CL)
373170719754-Restricted SCPHF RE (CL)
446172022774-Restricted SCPHF RE (CL)
461173257393-Restricted SCPHF RE (CL)
464173322372-Restricted SCPHF RE (CL)
47017332579SCPHF Random Extension (CLS)
47317332687CPHF Random Extension (CLS)
597194177534-Restricted SCPHF RE (CL)
630195480554-Restricted SCPHF RE (CL)
78219808659SCPHF Random Extension (CLS)
78328938349Add 1 factors
78435429851Add 2 factors
78537775629Add 3 factors
78840075921Add 19 factors
79040114909Add 19 factors
80140121407Add 19 factors
80249251097Add 19 factors
80355742599Add 19 factors
83556819592perfect hash family3,1170,781T335
85056943054perfect hash family3,1170,781T320
85356949552perfect hash family3,1170,781T317
85956949894perfect hash family3,1170,781T311
86256950002perfect hash family3,1170,781T308
89458253256perfect hash family3,894,597
91058513860perfect hash family3,942,629T32
94358644162perfect hash family3,943,630
98659035068perfect hash family3,1170,781T184
101959165370perfect hash family3,1170,781T151
117159425974perfect hash family3,1171,782
118864505466Power N-CT41^2Arc(9)T5
128464628928Power N-CT41^2Arc(9)T2
131566844746Power N-CT41^2Arc(8)T2
134866851244Power N-CT41^2Arc(9)
138169067062Power N-CT41^2Arc(8)
141571282880Power N-CT41^2Arc(7)
145073498698Power N-CT41^2Arc(6)
171075585834perfect hash family4,3125,625T283
186575716136perfect hash family4,3125,625T252
223075846438perfect hash family4,3125,625T179
230575969900perfect hash family4,3125,625T164
232075976398perfect hash family4,3125,625T161
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
366087836022Power N-CT61^2T1
372487966324Power N-CT61^2+3
384088700256Power N-CT67^2T7T3
391388707096Power N-CT67^2Trin3,3,3
426088823718Power N-CT71^2T11
438088875702Power N-CT73^2T13
454488954020Power N-CT71^2T7
467289006004Power N-CT73^2T9
504189077482Power N-CT71^2
518389129466Power N-CT73^2T2
532989135964Power N-CT73^2
533089139042Power N-CT73^2+1
5331100374084Add 1 factors
5402104647032Power N-CT79^2T6T5
5476104647374Power N-CT79^2T5T5
6180106602246perfect hash family9,10609,103T43
6592106732548perfect hash family9,10609,103T39
7313106856010perfect hash family9,10609,103T32
7519106862508perfect hash family9,10609,103T30
7622106862850perfect hash family9,10609,103T29
8023107898426perfect hash family9,12769,113T42
8249107904924perfect hash family9,12769,113T40
8362107905266perfect hash family9,12769,113T39
8496108886122perfect hash family9,14986,126T55
8732108892620perfect hash family9,14986,126T53
8850108892962perfect hash family9,14986,126T52
10000109078326Power N-CT101^2