Table for CAN(5,k,19) 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,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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kNSource
202476099orthogonal array
214815018extended OA (Colbourn)
246436335orthogonal array fuse fuse fuse fuse
367297957Quad-Restricted SCPHF RE (C)
397421419Tri-Restricted SCPHF RE (C)
407427917Path-Restricted SCPHF RE (C)
609643735Quad-Restricted SCPHF RE (C)
649774037Quad-Restricted SCPHF RE (C)
749904339SCPHF Random Extension (CLS)
10512119815Quad-Restricted SCPHF RE (C)
12412250117Quad-Restricted SCPHF RE (C)
13612380419SCPHF Random Extension (CLS)
13712380491CPHF Random Extension (CLS)
17614465593Quad-Restricted SCPHF RE (C)
20314595895Quad-Restricted SCPHF RE (C)
23314726197Quad-Restricted SCPHF RE (C)
26214856499SCPHF Random Extension (CLS)
26914856589CPHF Random Extension (CLS)
46317332579SCPHF Random Extension (CLS)
46917332687CPHF Random Extension (CLS)
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
85256949894perfect hash family3,1170,781T318
85856950002perfect hash family3,1170,781T312
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)
148675714516Power N-CT41^2Arc(5)
231576758552perfect hash family4,3125,625T162
234576758660perfect hash family4,3125,625T156
312579234632perfect 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
391388748136Power N-CT67^2Trin3,3,3
438088878438Power N-CT73^2T13
467289008740Power N-CT73^2T9
533089139042Power N-CT73^2+1
5331100374084Add 1 factors
5476104647374Power N-CT79^2T5T5
6180106602246perfect hash family9,10609,103T43
6592106732548perfect hash family9,10609,103T39
7622106862850perfect hash family9,10609,103T29
8362107905266perfect hash family9,12769,113T39
8850108947682perfect hash family9,14986,126T52
10000109078326Power N-CT101^2
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