Table for CAN(5,k,19) 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,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)
2249453393-Restricted SCPHF RE (CL)
246436335orthogonal array fuse fuse fuse fuse
3772979574-Restricted SCPHF RE (CL)
4074214193-Restricted SCPHF RE (CL)
417428259SCPHF Random Extension (CLS)
6096437354,4-Restricted SCPHF RE (CL)
6897740374-Restricted SCPHF RE (CL)
7598974993-Restricted SCPHF RE (CL)
7799039972-Restricted SCPHF RE (CL)
789904339SCPHF Random Extension (CLS)
107121198154,4-Restricted SCPHF RE (CL)
126122501174-Restricted SCPHF RE (CL)
136123735793-Restricted SCPHF RE (CL)
143123800772-Restricted SCPHF RE (CL)
180144655934,4,4-Restricted SCPHF RE (CL)
207145958954,4-Restricted SCPHF RE (CL)
233147261974-Restricted SCPHF RE (CL)
258148496593-Restricted SCPHF RE (CL)
262148561572-Restricted SCPHF RE (CL)
26914856589CPHF Random Extension (CLS)
343169416734,4,4-Restricted SCPHF RE (CL)
373170719754,4-Restricted SCPHF RE (CL)
446172022774-Restricted SCPHF RE (CL)
461173257393-Restricted SCPHF RE (CL)
466173322372-Restricted SCPHF RE (CL)
47017332579SCPHF Random Extension (CLS)
47317332687CPHF Random Extension (CLS)
597194177534,4,4-Restricted SCPHF RE (CL)
671195480554,4-Restricted SCPHF RE (CL)
723196783574-Restricted SCPHF RE (CL)
838198018193-Restricted SCPHF RE (CL)
851198083172-Restricted SCPHF RE (CL)
85228938007Add 1 factors
85335449003Add 2 factors
85437794781Add 3 factors
85740134061Add 19 factors
87040140559Add 19 factors
87149270249Add 19 factors
87255781245Add 19 factors
87856929374perfect hash family3,1254,837T376
88356935872perfect hash family3,1254,837T371
88756936214perfect hash family3,1254,837T367
89056936322perfect hash family3,1254,837T364
89456949210perfect hash family3,1275,851T381
89756949318perfect hash family3,1275,851T378
93158513860perfect hash family3,1005,671T74
100558644162perfect hash family3,1005,671
103158904766perfect hash family3,1083,723T52
108359035068perfect hash family3,1083,723
108859151690perfect hash family3,1254,837T166
109559164686perfect hash family3,1275,851T180
114059281992perfect hash family3,1254,837T114
114759294988perfect hash family3,1275,851T128
125559405454perfect hash family3,1255,838
126259418450perfect hash family3,1275,851T13
127559424948perfect hash family3,1275,851
133666586878Power N-CT41^2Trin1,4,4
136966593718Power N-CT41^2T4T4
137566696660Power N-CT41^2Arc(4)T4
140966703500Power N-CT41^2Arc(3)T4
144466710340Power N-CT41^2Arc(2)T4
148066717180Power N-CT41^2T4T1
151766724020Power N-CT41^2T4
152366826962Power N-CT41^2Arc(4)
156166833802Power N-CT41^2Arc(3)
160066840642Power N-CT41^2T1T1
164066847482Power N-CT41^2T1
168166854322Power N-CT41^2
171575585834perfect hash family4,3125,625T282
186575716136perfect hash family4,3125,625T252
223075846438perfect hash family4,3125,625T179
230575969900perfect hash family4,3125,625T164
233075976398perfect hash family4,3125,625T159
235075976740perfect hash family4,3125,625T155
236575976848perfect hash family4,3125,625T152
298578061914perfect hash family4,3125,625T28
312578192216perfect hash family4,3125,625
423686662962Power N-CT79^2Arc(9)T19
479686793264Power N-CT79^2Arc(9)T11
528686916726Power N-CT79^2Arc(9)T4
542686923224Power N-CT79^2Arc(9)T2
549589138700Power N-CT79^2Arc(8)T2
556689139042Power N-CT79^2Arc(9)
563791354518Power N-CT79^2Arc(8)
570993569994Power N-CT79^2Arc(7)
578295785470Power N-CT79^2Arc(6)
585698000946Power N-CT79^2Arc(5)
5931100216422Power N-CT79^2Arc(4)
6007102431898Power N-CT79^2Arc(3)
6084104647374Power N-CT79^2T1T1
6420106602246perfect hash family9,11449,107T47
7276106732548perfect hash family9,11449,107T39
8025106856010perfect hash family9,11449,107T32
8239106862508perfect hash family9,11449,107T30
8346106862850perfect hash family9,11449,107T29
8968107898426perfect hash family9,14986,126T51
9204107904924perfect hash family9,14986,126T49
9322107905266perfect hash family9,14986,126T48
10000109078326Power N-CT101^2
 Graph: