Table for CAN(6,k,4) for k up to 10000

Last Updated Tue Nov 21 02:19:04 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,4) 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
74096orthogonal array
971685-Restricted SCPHF RE (CL)
1079364-Restricted SCPHF RE (CL)
1181283-Restricted SCPHF RE (CL)
12112605-Restricted SCPHF RE (CL)
13120284-Restricted SCPHF RE (CL)
14143325-Restricted SCPHF RE (CL)
15153525-Restricted SCPHF RE (CL)
16163123-Restricted SCPHF RE (CL)
17184245-Restricted SCPHF RE (CL)
18194445-Restricted SCPHF RE (CL)
19202124-Restricted SCPHF RE (CL)
2020476CPHF Random Extension (CLS)
21225165-Restricted SCPHF RE (CL)
22235365-Restricted SCPHF RE (CL)
23243044-Restricted SCPHF RE (CL)
24266085-Restricted SCPHF RE (CL)
26276285-Restricted SCPHF RE (CL)
27285883-Restricted SCPHF RE (CL)
2828648SCPHF Random Extension (CLS)
31307005-Restricted SCPHF RE (CL)
32326803-Restricted SCPHF RE (CL)
33327282-Restricted SCPHF RE (CL)
35337725-Restricted SCPHF RE (CL)
36347925-Restricted SCPHF RE (CL)
38358125-Restricted SCPHF RE (CL)
39367723-Restricted SCPHF RE (CL)
40368202-Restricted SCPHF RE (CL)
43378645-Restricted SCPHF RE (CL)
44399045-Restricted SCPHF RE (CL)
45408643-Restricted SCPHF RE (CL)
46409122-Restricted SCPHF RE (CL)
4940924SCPHF Random Extension (CLS)
50419565-Restricted SCPHF RE (CL)
53429765-Restricted SCPHF RE (CL)
54439965-Restricted SCPHF RE (CL)
57449563-Restricted SCPHF RE (CL)
5845016SCPHF Random Extension (CLS)
60460485-Restricted SCPHF RE (CL)
63470685-Restricted SCPHF RE (CL)
65480885-Restricted SCPHF RE (CL)
69488564-Restricted SCPHF RE (CL)
72490483-Restricted SCPHF RE (CL)
73490962-Restricted SCPHF RE (CL)
74501405-Restricted SCPHF RE (CL)
76511605-Restricted SCPHF RE (CL)
78521805-Restricted SCPHF RE (CL)
82529484-Restricted SCPHF RE (CL)
84531403-Restricted SCPHF RE (CL)
86531882-Restricted SCPHF RE (CL)
9053236CPHF Random Extension (CLS)
93552525-Restricted SCPHF RE (CL)
96562725-Restricted SCPHF RE (CL)
100570404-Restricted SCPHF RE (CL)
103572323-Restricted SCPHF RE (CL)
107572802-Restricted SCPHF RE (CL)
112593445-Restricted SCPHF RE (CL)
119603645-Restricted SCPHF RE (CL)
127611324-Restricted SCPHF RE (CL)
128613722-Restricted SCPHF RE (CL)
15665476SCPHF Random Extension (CLS)
15765521CPHF Random Extension (CLS)
19469568SCPHF Random Extension (CLS)
19669616CPHF Random Extension (CLS)
21873660SCPHF Random Extension (CLS)
21995836Add 1 factors
220112828Add 2 factors
221121276Add 3 factors
222124348Add 4 factors
223146524Add 4 factors
224163516Add 4 factors
225171964Add 4 factors
226175036Add 4 factors
227197212Add 4 factors
228214204Add 4 factors
229222652Add 4 factors
230225724Add 4 factors
240227394Power CT16^2T1
256228354Power CT16^2
257250530Add 1 factors
272255810Power CT17^2T1
289257922Power CT17^2
290272202Power CT17^2+1
306278268perfect hash family4,306,194
308278460perfect hash family4,308,196
323281166Power CT19^2T2
324281418Power CT19^2T1T1
342282186Power CT19^2T1
361282954Power CT19^2
362286650Power CT19^2+1
363308826Add 1 factors
364328602Add 2 factors
366330798Power CT23^2Trin2,3,3
367331050Power CT23^2tTD:3,3,2
383331818Power CT23^2Trin1,3,3
400332586Power CT23^2T3T3
402333858Power CT23^2Arc(6):1 twos,1 ones 3 ext
403334110Power CT23^2Arc(3)T3
420334626Power CT23^2T3T2
421334878Power CT23^2Arc(2)T3
440335646Power CT23^2T3T1
460336414Power CT23^2T3
462337686Power CT23^2T2T1
463337938Power CT23^2Arc(3)
483338454Power CT23^2T2
484338706Power CT23^2T1T1
506339474Power CT23^2T1
529340242Power CT23^2
530367026Add 1 factors
552382434Power CT25^2T2T1
575383454Power CT25^2T2
576384738Power CT25^2T1T1
600385758Power CT25^2T1
626386778Power CT25^2+1
627396378Power CT27^2Arc(4)
651397338Power CT27^2Arc(3)
676398298Power CT27^2T1T1
702399258Power CT27^2T1
729400218Power CT27^2
730401058Power CT27^2+1
731421578Power CT29^2Arc(4)
757423630Power CT29^2Arc(3)
784425682Power CT29^2T1T1
806426714Power CT31^2T5
837427674Power CT31^2T4
868427734Power CT31^2T3
961429786Power CT31^2
992455526Power CT32^2T1
1024457506Power CT32^2
1025458178Power CT32^2+1
1027472794Power CT32^2+3
1028487074Power CT32^2 +4
1044491154Power CT37^2Arc(10)
1072492174Power CT37^2Arc(9)
1101493194Power CT37^2Arc(8)
1131494214Power CT37^2Arc(7)
1162495234Power CT37^2Arc(6)
1194496254Power CT37^2Arc(5)
1227497274Power CT37^2Arc(4)
1261498294Power CT37^2Arc(3)
1296499314Power CT37^2T1T1
1332500334Power CT37^2T1
1370501354Power CT37^2+1
1371514794Power CT37^2+2
1372515466Power CT37^2+3
1381521730Power CT41^2Arc(8)
1415522774Power CT41^2Arc(7)
1450523818Power CT41^2Arc(6)
1486524862Power CT41^2Arc(5)
1523525906Power CT41^2Arc(4)
1561526950Power CT41^2Arc(3)
1600527994Power CT41^2T1T1
1634528030Power CT43^2T5
1677528990Power CT43^2T4
1720529038Power CT43^2T3
1849530082Power CT43^2
1850558642Power CT43^2+1
1862567810Power CT49^2T11
1911568770Power CT49^2T10
1960568818Power CT49^2T9
1978569850Power CT47^2T4T1
2107569862Power CT49^2T6
2156571902Power CT49^2T5
2205572862Power CT49^2T4
2254572910Power CT49^2T3
2401572922Power CT49^2
2402587370Power CT49^2+1
2450598578Power CT53^2T4T3
2597599598Power CT53^2T4
2650600630Power CT53^2T3
2809601650Power CT53^2
2810615930Power CT53^2+1
2842623343Power N-CT67^2T18T9
2874623535Power N-CT67^2Trin9,9,10
2923623595Power N-CT67^2Trin9,9,9
2940624375Power N-CT67^2T18T7
2970624567Power N-CT67^2Trin7,9,10
3021624627Power N-CT67^2Trin7,9,9
3087625395Power N-CT67^2T18T4
3114625587Power N-CT67^2Trin4,9,10
3168625647Power N-CT67^2Trin4,9,9
3185626415Power N-CT67^2T18T2
3210626607Power N-CT67^2Trin2,9,10
3220626619Power N-CT67^2Trin4,7,10
3266626667Power N-CT67^2Trin2,9,9
3276626679Power N-CT67^2Trin4,7,9
3283627183Power N-CT67^2T18
3306627375Power N-CT67^2T10T9
3364627435Power N-CT67^2T9T9
3379627639Power N-CT67^2Trin4,4,10
3438627699Power N-CT67^2Trin4,4,9
3480628467Power N-CT67^2T9T7
3485628659Power N-CT67^2Trin2,4,10
3546628719Power N-CT67^2Trin2,4,9
3556628731Power N-CT67^2Trin4,4,7
3591629427Power N-CT67^2T10T4
3654629487Power N-CT67^2T9T4
3658629739Power N-CT67^2Trin2,2,9
3733629751Power N-CT67^2Trin4,4,4
3770630507Power N-CT67^2T9T2
3780630519Power N-CT67^2T7T4
3851630771Power N-CT67^2Trin2,4,4
3886631275Power N-CT67^2T9
3969631539Power N-CT67^2T4T4
3973631791Power N-CT67^2Trin2,2,4
4020632307Power N-CT67^2T7
4095632559Power N-CT67^2T4T2
4099632811Power N-CT67^2Trin2,2,2
4221633327Power N-CT67^2T4
4225633579Power N-CT67^2T2T2
4234634155Power N-CT73^2T15
4355634347Power N-CT67^2T2
4491635115Power N-CT67^2+2
4536636159Power N-CT73^2T10T1
4599636207Power N-CT73^2T10
4615636651Power N-CT71^2T6
4627637035Power N-CT71^2Trin2,2,2
4680637179Power N-CT73^2T8T1
4761637227Power N-CT71^2T2T2
4899637419Power N-CT71^2T2
5042637611Power N-CT71^2+1
5043638043Power N-CT73^2Arc(4)
5113638091Power N-CT73^2Arc(3)
5184638139Power N-CT73^2T1T1
5256638187Power N-CT73^2T1
5329638235Power N-CT73^2
5330651807Power N-CT73^2+1
5332665067Power N-CT73^2+3
5334678327perfect hash family13,5334,78
5359679095Power N-CT79^2Arc(12)
5427679863Power N-CT79^2Arc(11)
5496680631Power N-CT79^2Arc(10)
5566681399Power N-CT79^2Arc(9)
5637682167Power N-CT79^2Arc(8)
5709682935Power N-CT79^2Arc(7)
5782683703Power N-CT79^2Arc(6)
5856684471Power N-CT79^2Arc(5)
5931685239Power N-CT79^2Arc(4)
6007686007Power N-CT79^2Arc(3)
6059686763Power N-CT83^2T10
6084686775Power N-CT79^2T1T1
6162687543Power N-CT79^2T1
6192687819Power N-CT89^2T17T3
6408687867Power N-CT89^2T17
6497687915Power N-CT89^2T16
6586688959Power N-CT89^2T15
6764689979Power N-CT89^2T13
6806690615Power N-CT83^2T1
6890690807Power N-CT83^2+1
6942690999Power N-CT89^2T11
7052691719Power N-CT89^2T7T3
7298691767Power N-CT89^2T7
7476691959Power N-CT89^2T5
7654692007Power N-CT89^2T3
7922692055Power N-CT89^2+1
7925718263perfect hash family13,7925,93
7971730503Power N-CT97^2Arc(12)T4
8058730755Power N-CT97^2Arc(13)T2
8226731523Power N-CT97^2Arc(13)
8311732291Power N-CT97^2Arc(12)
8397733059Power N-CT97^2Arc(11)
8484733827Power N-CT97^2Arc(10)
8572734595Power N-CT97^2Arc(9)
8661735363Power N-CT97^2Arc(8)
8751736131Power N-CT97^2Arc(7)
8842736899Power N-CT97^2Arc(6)
8934737667Power N-CT97^2Arc(5)
9027738435Power N-CT97^2Arc(4)
9121739203Power N-CT97^2Arc(3)
9216739971Power N-CT97^2T1T1
9270740007perfect hash family13,10609,103T13
9630740583perfect hash family13,11449,107T17
9951742599perfect hash family13,11449,107T14
10000743619Power N-CT101^2T1T1
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