Table for CAN(5,k,18) for k up to 10000

Last Updated Sat Jul 28 12:53:06 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,18) 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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61889568Derive from strength 6
82235668Augment OA
92360788Augment OA
202476097orthogonal array fuse
214444632extended OA (Colbourn) special fuse
2249453373-Restricted SCPHF RE (CL) fuse
246436333orthogonal array fuse fuse fuse fuse fuse
3772979554-Restricted SCPHF RE (CL) fuse
4074214173-Restricted SCPHF RE (CL) fuse
417428257SCPHF Random Extension (CLS) fuse
6096437334,4-Restricted SCPHF RE (CL) fuse
6897740354-Restricted SCPHF RE (CL) fuse
7598974973-Restricted SCPHF RE (CL) fuse
7799039952-Restricted SCPHF RE (CL) fuse
789904337SCPHF Random Extension (CLS) fuse
107121198134,4-Restricted SCPHF RE (CL) fuse
126122501154-Restricted SCPHF RE (CL) fuse
136123735773-Restricted SCPHF RE (CL) fuse
143123800752-Restricted SCPHF RE (CL) fuse
180144655914,4,4-Restricted SCPHF RE (CL) fuse
207145958934,4-Restricted SCPHF RE (CL) fuse
233147261954-Restricted SCPHF RE (CL) fuse
258148496573-Restricted SCPHF RE (CL) fuse
262148561552-Restricted SCPHF RE (CL) fuse
26914856587CPHF Random Extension (CLS) fuse
343169416714,4,4-Restricted SCPHF RE (CL) fuse
373170719734,4-Restricted SCPHF RE (CL) fuse
446172022754-Restricted SCPHF RE (CL) fuse
461173257373-Restricted SCPHF RE (CL) fuse
466173322352-Restricted SCPHF RE (CL) fuse
47017332577SCPHF Random Extension (CLS) fuse
47317332685CPHF Random Extension (CLS) fuse
597194177514,4,4-Restricted SCPHF RE (CL) fuse
671195480534,4-Restricted SCPHF RE (CL) fuse
723196783554-Restricted SCPHF RE (CL) fuse
838198018173-Restricted SCPHF RE (CL) fuse
851198083152-Restricted SCPHF RE (CL) fuse
85226957699Add 1 factors
85332118695Add 2 factors
85435653553Add 3 factors
85536240984Add 4 factors
85636454581Add 5 factors
85738429531Add 19 factors
86038436029Add 19 factors
87038455523Add 19 factors
87145604907Add 19 factors
87250765903Add 19 factors
87354300761Add 19 factors
87454888192Add 19 factors
87555101789Add 19 factors
87856929368perfect hash family3,1254,837T376
88356935866perfect hash family3,1254,837T371
88756936208perfect hash family3,1254,837T367
89056936316perfect hash family3,1254,837T364
89456949204perfect hash family3,1275,851T381
89756949312perfect hash family3,1275,851T378
93158513854perfect hash family3,1005,671T74
100558644156perfect hash family3,1005,671
103158904760perfect hash family3,1083,723T52
108359035062perfect hash family3,1083,723
108859151684perfect hash family3,1254,837T166
109559164680perfect hash family3,1275,851T180
114059281986perfect hash family3,1254,837T114
114759294982perfect hash family3,1275,851T128
125559405448perfect hash family3,1255,838
126259418444perfect hash family3,1275,851T13
127559424942perfect hash family3,1275,851
127666574326Add 1 factors
133666586860Power N-CT41^2Trin1,4,4
136966593700Power N-CT41^2T4T4
137566696642Power N-CT41^2Arc(4)T4
140966703482Power N-CT41^2Arc(3)T4
144466710322Power N-CT41^2Arc(2)T4
148066717162Power N-CT41^2T4T1
151766724002Power N-CT41^2T4
152366826944Power N-CT41^2Arc(4)
156166833784Power N-CT41^2Arc(3)
160066840624Power N-CT41^2T1T1
164066847464Power N-CT41^2T1
168166854304Power N-CT41^2
171575585826perfect hash family4,3125,625T282
186575716128perfect hash family4,3125,625T252
223075846430perfect hash family4,3125,625T179
230575969892perfect hash family4,3125,625T164
233075976390perfect hash family4,3125,625T159
235075976732perfect hash family4,3125,625T155
236575976840perfect hash family4,3125,625T152
298578061906perfect hash family4,3125,625T28
312578192208perfect hash family4,3125,625
423686662944Power N-CT79^2Arc(9)T19
479686793246Power N-CT79^2Arc(9)T11
528686916708Power N-CT79^2Arc(9)T4
542686923206Power N-CT79^2Arc(9)T2
549589138682Power N-CT79^2Arc(8)T2
556689139024Power N-CT79^2Arc(9)
563791354500Power N-CT79^2Arc(8)
570993569976Power N-CT79^2Arc(7)
578295785452Power N-CT79^2Arc(6)
585698000928Power N-CT79^2Arc(5)
5931100216404Power N-CT79^2Arc(4)
6007102431880Power N-CT79^2Arc(3)
6084104647356Power N-CT79^2T1T1
6420106602228perfect hash family9,11449,107T47
7276106732530perfect hash family9,11449,107T39
8025106855992perfect hash family9,11449,107T32
8239106862490perfect hash family9,11449,107T30
8346106862832perfect hash family9,11449,107T29
8968107898408perfect hash family9,14986,126T51
9204107904906perfect hash family9,14986,126T49
9322107905248perfect hash family9,14986,126T48
10000109078308Power N-CT101^2