Table for CAN(5,k,9) 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,9) 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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1059049orthogonal array
11110808extended OA (Colbourn)
13111537Quad-Restricted SCPHF RE (C)
15117369Tri-Restricted SCPHF RE (C)
16118089SCPHF Random Extension (CLS)
22170577Quad-Restricted SCPHF RE (C)
23176409Tri-Restricted SCPHF RE (C)
25177129SCPHF Random Extension (CLS)
32223065Quad-Restricted SCPHF RE (C)
34229617Quad-Restricted SCPHF RE (C)
38235449Tri-Restricted SCPHF RE (C)
39236193CPHF Random Extension (CLS)
48282105Quad-Restricted SCPHF RE (C)
52288657Quad-Restricted SCPHF RE (C)
60295209SCPHF Random Extension (CLS)
67334593Quad-Restricted SCPHF RE (C)
76341145Quad-Restricted SCPHF RE (C)
84347697Quad-Restricted SCPHF RE (C)
92354249SCPHF Random Extension (CLS)
95354289CPHF Random Extension (CLS)
103393633Quad-Restricted SCPHF RE (C)
115400185Quad-Restricted SCPHF RE (C)
132406737Quad-Restricted SCPHF RE (C)
140413289SCPHF Random Extension (CLS)
143413337CPHF Random Extension (CLS)
164452673Quad-Restricted SCPHF RE (C)
181459225Quad-Restricted SCPHF RE (C)
210465777Quad-Restricted SCPHF RE (C)
224472329SCPHF Random Extension (CLS)
229472385CPHF Random Extension (CLS)
374531369SCPHF Random Extension (CLS)
568590409SCPHF Random Extension (CLS)
673649449SCPHF Random Extension (CLS)
674889137Add 1 factors
6751034937Add 2 factors
6761087425Add 3 factors
6821139913Add 9 factors
6831379601Add 9 factors
6841525401Add 9 factors
6851577889Add 9 factors
7281610407SCPHF Random Extension (CLS) fuse fuse
8501771224perfect hash family3,850,568
9031889304perfect hash family3,1008,673T105
10081948344perfect hash family3,1008,673
13702354480Power N-CT37^2+1
14502361632perfect hash family4,1450,568
14822446368Power N-CT41^2T3T2
15212447112Power N-CT41^2T2T2
18702479712perfect hash family4,3125,625T251
28402538752perfect hash family4,3125,625T57
31252597792perfect hash family4,3125,625
34822656872Power N-CT59^2+1
34832853792Power N-CT61^2Arc(4)
35412893176Power N-CT61^2Arc(3)
36002932560Power N-CT61^2T1T1
40202971944Power N-CT67^2T7
44893011328Power N-CT67^2
48913063744Power N-CT73^2T6
53323070296Power N-CT73^2+3
55573109608Power N-CT79^2Trin3,3,3
57763116160Power N-CT79^2T3T3
63083122712Power N-CT83^2T7
68903129264Power N-CT83^2+1
70563175128Power N-CT89^2T5T5
74763181680Power N-CT89^2T5
79243188232Power N-CT89^2+3
79273188592perfect hash family9,7927,95
79353267280perfect hash family9,8536,96S7
80183306624perfect hash family9,8536,96S6
81023345968perfect hash family9,8536,96S5
81873385312perfect hash family9,8536,96S4
82903424576Power N-CT97^2Trin2,5,5
85603424616Power N-CT97^2Trin2,2,5
88393424656Power N-CT97^2Trin2,2,2
90253464000Power N-CT97^2T2T2
94763503304perfect hash family9,10609,103T11
97853503344perfect hash family9,10609,103T8
100003542688Power N-CT101^2