Table for CAN(6,k,11) for k up to 10000

Last Updated Sat Sep 16 02:03:55 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;6,k,11) 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
121771561orthogonal array
133367430extended OA (Colbourn)
143528481Quad-Restricted SCPHF RE (C)
153543111SCPHF Random Extension (CLS)
195153621Quint-Restricted SCPHF RE (C)
215300031Quad-Restricted SCPHF RE (C)
225313341Tri-Restricted SCPHF RE (C)
266764131Quint-Restricted SCPHF RE (C)
286925171Quint-Restricted SCPHF RE (C)
307071581Quad-Restricted SCPHF RE (C)
317086101Path-Restricted SCPHF RE (C)
358535681Quint-Restricted SCPHF RE (C)
418696721Quint-Restricted SCPHF RE (C)
468857761SCPHF Random Extension (CLS)
4710146191Quint-Restricted SCPHF RE (C)
5310307231Quint-Restricted SCPHF RE (C)
5910468271Quint-Restricted SCPHF RE (C)
6710629311SCPHF Random Extension (CLS)
6810629361CPHF Random Extension (CLS)
7411917741Quint-Restricted SCPHF RE (C)
8312078781Quint-Restricted SCPHF RE (C)
8812239821Quint-Restricted SCPHF RE (C)
9412400861SCPHF Random Extension (CLS)
9912400921CPHF Random Extension (CLS)
15014172411SCPHF Random Extension (CLS)
20815943961SCPHF Random Extension (CLS)
20925165371Add 1 factors
21030462751Add 2 factors
21134282721Add 3 factors
21235893231Add 4 factors
21536254581Add 11 factors
21836334441Add 11 factors
21937503741Add 11 factors
25043441173SCPHF Random Extension (CLS) fuse fuse
25152807783Add 1 factors
25258105163Add 2 factors
27062004290perfect hash family4,328,208T58
32863775840perfect hash family4,328,208
32973432850Add 1 factors
36177948250perfect hash family5,475,207T57
47679719800perfect hash family5,476,208
47790695710Add 1 factors
47993892210perfect hash family6,541,181T31
56895663760perfect hash family6,568,208
575103876230Power N-CT29^2Arc(3)T7
595104022640Power N-CT29^2Arc(2)T7
616104169050Power N-CT29^2T7T1
638104315460Power N-CT29^2T7
639104489700Power N-CT31^2Arc(2)T9
660104504220Power N-CT31^2T9T1
682104518740Power N-CT31^2T9
706105341650Power N-CT29^2Arc(5)
731105488060Power N-CT29^2Arc(4)
757105634470Power N-CT29^2Arc(3)
784105780880Power N-CT29^2T1T1
812105927290Power N-CT29^2T1
842106073700Power N-CT29^2+1
868106130570Power N-CT31^2T3
871106247940Power N-CT31^2Arc(3)
900106262460Power N-CT31^2T1T1
930106276980Power N-CT31^2T1
961106291500Power N-CT31^2
962118876710Add 1 factors
1066119821490Power N-CT41^2T15
1085119982420Power N-CT41^2T10T6
1148119982530Power N-CT41^2T13
1230120128940Power N-CT41^2T11
1271120143460Power N-CT41^2T10
1435121593040Power N-CT41^2T6
1681121754080Power N-CT41^2
1763123847600Power N-CT43^2T2
1852124008640Power N-CT43^2+3
1861131739220Power N-CT47^2Arc(8)
1901133027650Power N-CT47^2Arc(7)
1942134316080Power N-CT47^2Arc(6)
1984135604510Power N-CT47^2Arc(5)
2027136892940Power N-CT47^2Arc(4)
2071138181370Power N-CT47^2Arc(3)
2116139469800Power N-CT47^2T1T1
2162140758230Power N-CT47^2T1
2209142046660Power N-CT47^2
2438142851750Power N-CT53^2T7
2491144140180Power N-CT53^2T6
2809144301220Power N-CT53^2
3127146394740Power N-CT59^2T6
3481146555780Power N-CT59^2
3551148488260Power N-CT67^2T14
3953148649300Power N-CT67^2T8
4489148810340Power N-CT67^2
4490148811040Power N-CT67^2+1
4556152353810Power N-CT73^2T6T5
4624152353860Power N-CT73^2T5T5
4891153642190Power N-CT73^2T6
4964153642240Power N-CT73^2T5
5330154930620Power N-CT73^2+1
5561155574670Power N-CT83^2T16
5644155574720Power N-CT83^2T15
6142156863100Power N-CT83^2T9
6889157024140Power N-CT83^2
6894159117660perfect hash family13,6894,88
6919159278700Power N-CT89^2Arc(12)
6997159439740Power N-CT89^2Arc(11)
7076159600780Power N-CT89^2Arc(10)
7156159761820Power N-CT89^2Arc(9)
7237159922860Power N-CT89^2Arc(8)
7319160083900Power N-CT89^2Arc(7)
7402160244940Power N-CT89^2Arc(6)
7486160405980Power N-CT89^2Arc(5)
7571160567020Power N-CT89^2Arc(4)
7657160728060Power N-CT89^2Arc(3)
7744160889100Power N-CT89^2T1T1
7802160889760Power N-CT97^2T14T3
8051160889820Power N-CT97^2T14
8272161050800Power N-CT97^2T9T3
8536161050860Power N-CT97^2T9
8563161211780Power N-CT97^2Trin3,3,3
8836161211840Power N-CT97^2T3T3
9118161211900Power N-CT97^2T3
9411161211960Power N-CT97^2+2
9607178926860Power N-CT101^2Trin2,2,2
9801180698350Power N-CT101^2T2T2
10000182308740perfect hash family13,14478,126T38
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