Table for CAN(6,k,5) for k up to 10000

Last Updated Sun Jul 29 04:37:25 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;6,k,5) 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
715625orthogonal array
825000Xu-Ji-Dong
10281255-Restricted SCPHF RE (CL)
11306254-Restricted SCPHF RE (CL)
1231245SCPHF Sim Annealing (TJ-IM)
13437455-Restricted SCPHF RE (CL)
14462454-Restricted SCPHF RE (CL)
1546865SCPHF Random Extension (CLS)
16562455,5-Restricted SCPHF RE (CL)
17593655-Restricted SCPHF RE (CL)
18618654-Restricted SCPHF RE (CL)
1962485SCPHF Random Extension (CLS)
20718655,5-Restricted SCPHF RE (CL)
22749855-Restricted SCPHF RE (CL)
23774854-Restricted SCPHF RE (CL)
2478105SCPHF Sim Annealing (TJ-IM)
2578121CPHF Sim Annealing (TJ-IM)
26906055-Restricted SCPHF RE (CL)
27931054-Restricted SCPHF RE (CL)
28937052-Restricted SCPHF RE (CL)
3193725SCPHF Sim Annealing (TJ-IM)
3293745CPHF Sim Annealing (TJ-IM)
331062255-Restricted SCPHF RE (CL)
341087254-Restricted SCPHF RE (CL)
351092253-Restricted SCPHF RE (CL)
36109345SCPHF Random Extension (CLS)
37109369CPHF Sim Annealing (TJ-IM)
381187255,5-Restricted SCPHF RE (CL)
431218455-Restricted SCPHF RE (CL)
441243454-Restricted SCPHF RE (CL)
451249452-Restricted SCPHF RE (CL)
46124993CPHF Random Extension (CLS)
471312255,5,5-Restricted SCPHF RE (CL)
481343455,5-Restricted SCPHF RE (CL)
531374655-Restricted SCPHF RE (CL)
541399654-Restricted SCPHF RE (CL)
561404653-Restricted SCPHF RE (CL)
571405652-Restricted SCPHF RE (CL)
59140585SCPHF Random Extension (CLS)
641499655,5-Restricted SCPHF RE (CL)
681530855-Restricted SCPHF RE (CL)
691555854-Restricted SCPHF RE (CL)
721560853-Restricted SCPHF RE (CL)
741561852-Restricted SCPHF RE (CL)
75156241CPHF Random Extension (CLS)
761624655,5,5-Restricted SCPHF RE (CL)
821655855,5-Restricted SCPHF RE (CL)
851687055-Restricted SCPHF RE (CL)
901712054-Restricted SCPHF RE (CL)
921717053-Restricted SCPHF RE (CL)
931718052-Restricted SCPHF RE (CL)
951780855,5,5-Restricted SCPHF RE (CL)
1031812055,5-Restricted SCPHF RE (CL)
1111843255-Restricted SCPHF RE (CL)
1181868254-Restricted SCPHF RE (CL)
1201873253-Restricted SCPHF RE (CL)
1211874252-Restricted SCPHF RE (CL)
1311968255,5-Restricted SCPHF RE (CL)
1421999455-Restricted SCPHF RE (CL)
1462024454-Restricted SCPHF RE (CL)
1492029453-Restricted SCPHF RE (CL)
156203065SCPHF Random Extension (CLS)
201218685SCPHF Random Extension (CLS)
202218737CPHF Random Extension (CLS)
231234305SCPHF Random Extension (CLS)
232341205Add 1 factors
233401705Add 2 factors
234436205Add 3 factors
235448705Add 4 factors
236461205Add 5 factors
237568105Add 5 factors
238628605Add 5 factors
239665505Add 5 factors
240678005Add 5 factors
241690505Add 5 factors
242797405Add 5 factors
243812256perfect hash family4,243,156
256843660Power CT16^2
257855996perfect hash family4,314,199T57
261858496perfect hash family4,314,199T53
264858996perfect hash family4,314,199T50
271859116perfect hash family4,314,199T43
316874736perfect hash family4,316,201
317874944perfect hash family4,317,202
336921596perfect hash family4,366,231T30
337921648perfect hash family4,366,231T29
342936640Power CT19^2T1
366937216perfect hash family4,366,231
3671058916Add 1 factors
4451093420perfect hash family5,445,201
4461093576perfect hash family5,450,202S2
4481093628perfect hash family5,450,202T1
4501093680perfect hash family5,450,202
4631154760Power CT23^2Arc(3)
4711155900perfect hash family5,515,223T22
4731155952perfect hash family5,515,223T21
4751156164Power CT25^2T6
4841157260Power CT23^2T1T1
5061159760Power CT23^2T1
5291162260Power CT23^2
5501168664Power CT25^2T3
5521171148Power CT25^2T2T1
5751171164Power CT25^2T2
5761171768Power CT25^2T1T1
6001171784Power CT25^2T1
6251171800Power CT25^2
6261307900Add 1 factors
6501379076Power CT27^2T2T1
6751381576Power CT27^2T2
6821387120Power CT31^2T9
7041387400Power CT32^2T10
7131389620Power CT31^2T8
7361389900Power CT32^2T9
7441390240Power CT31^2T7
7751390256Power CT31^2T6
8001390536Power CT32^2T7
8061402740Power CT31^2T5
8321403020Power CT32^2T6
8371405240Power CT31^2T4
8641405520Power CT32^2T5
8681405840Power CT31^2T3
9611405860Power CT31^2
9921406140Power CT32^2T1
10241406160Power CT32^2
10251555940Add 1 factors
10281621728Power CT37^2Trin1,4,5
10561621752Power CT37^2T5T4
10591624228Power CT37^2Trin1,3,5
10881624252Power CT37^2T5T3
10901624728Power CT37^2Arc(6):1 twos,1 ones 5 ext
11201624752Power CT37^2T5T2
11211624848Power CT37^2Arc(2)T5
11521624872Power CT37^2T5T1
11841624896Power CT37^2T5
11881637352Power CT37^2T4T1
12211637376Power CT37^2T4
12241639852Power CT37^2T3T1
12581639876Power CT37^2T3
12601640352Power CT37^2T2T1
12951640376Power CT37^2T2
12961640472Power CT37^2T1T1
13321640496Power CT37^2T1
13691640520Power CT37^2
13761677716perfect hash family14,1849,43T11
14191690196perfect hash family14,1849,43T10
14621692696perfect hash family14,1849,43T9
15051693196perfect hash family14,1849,43T8
15481693316perfect hash family14,1849,43T7
15911693340perfect hash family14,1849,43T6
16341702696perfect hash family14,1849,43T5
18491705816perfect hash family14,1849,43
18501740816perfect hash family14,1850,44
18511749216perfect hash family14,1851,45
18521749888perfect hash family14,1852,46
18611787280perfect hash family14,2209,47S8
19011793512perfect hash family14,2209,47S7
19421799744perfect hash family14,2209,47S6
19841805976perfect hash family14,2209,47S5
20271812208perfect hash family14,2209,47S4
20711818440perfect hash family14,2209,47S3
21161824672perfect hash family14,2209,47S2
21621830904perfect hash family14,2209,47T1
22091837136perfect hash family14,2209,47
22101880816perfect hash family14,2210,48
22791908876perfect hash family14,2809,53T10
23321911376perfect hash family14,2809,53T9
23851911976perfect hash family14,2809,53T8
24381912024perfect hash family14,2809,53T7
24911918256perfect hash family14,2809,53T6
25441921376perfect hash family14,2809,53T5
28091924496perfect hash family14,2809,53
28101959496perfect hash family14,2810,54
28321961936perfect hash family14,3481,59T11
31271965056perfect hash family14,3481,59T6
31861967556perfect hash family14,3481,59T5
33041968056perfect hash family14,3481,59T3
33631968156perfect hash family14,3481,59T2
34811968176perfect hash family14,3481,59
35042008552perfect hash family13,5329,73T25
38692011672perfect hash family13,5329,73T20
39422014172perfect hash family13,5329,73T19
40882014672perfect hash family13,5329,73T17
41612014772perfect hash family13,5329,73T16
43072014792perfect hash family13,5329,73T14
46722024172perfect hash family13,5329,73T9
49642027292perfect hash family13,5329,73T5
50372029792perfect hash family13,5329,73T4
50432029992perfect hash family13,5329,73S4
51132030092perfect hash family13,5329,73S3
51842030192perfect hash family13,5329,73S2
52562030292perfect hash family13,5329,73T1
53302030392perfect hash family13,5330,74
53312031120perfect hash family13,5331,75
53322112032perfect hash family13,5332,76
53722140092perfect hash family13,6241,79T11
54512142592perfect hash family13,6241,79T10
56882143092perfect hash family13,6241,79T7
58462143192perfect hash family13,6241,79T5
59252143248perfect hash family13,6241,79T4
60042149472perfect hash family13,6241,79T3
62442152592perfect hash family13,6244,82
62532168192perfect hash family13,6889,83S8
63292171312perfect hash family13,6889,83S7
64062174432perfect hash family13,6889,83S6
64842177552perfect hash family13,6889,83S5
65632180672perfect hash family13,6889,83S4
66432183792perfect hash family13,6889,83S3
67242186912perfect hash family13,6889,83S2
68062190032perfect hash family13,6889,83T1
68912193152perfect hash family13,6891,85
72982220032perfect hash family13,7921,89T7
75652223152perfect hash family13,7921,89T4
79222225652perfect hash family13,7922,90
79242232152perfect hash family13,7924,92
79252233452perfect hash family13,7925,93
79272315092perfect hash family13,7927,95
84462340032perfect hash family13,10609,103T21
87552343152perfect hash family13,10609,103T18
92702345652perfect hash family13,10609,103T13
94762346152perfect hash family13,10609,103T11
95792346252perfect hash family13,10609,103T10
97852352532perfect hash family13,10609,103T8
100002355652perfect hash family13,10201,101
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