Table for CAN(6,k,7) for k up to 10000

Last Updated Wed Mar 9 06:22:05 MST 2022

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,7) 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
8117649orthogonal array
9190715orthogonal array fuse postop NCK
112184915-Restricted SCPHF RE (CL)
132328974-Restricted SCPHF RE (CL)
153361335-Restricted SCPHF RE (CL)
173505394-Restricted SCPHF RE (CL)
18352945CPHF IPO 3 (WCS)
204369755,5-Restricted SCPHF RE (CL)
214537755-Restricted SCPHF RE (CL)
224681814-Restricted SCPHF RE (CL)
23470575SCPHF Random Extension (CLS)
25470593CPHF IPO 4 (WCS)
275546175,5-Restricted SCPHF RE (CL)
295858234-Restricted SCPHF RE (CL)
315878813-Restricted SCPHF RE (CL)
34588241CPHF IPO 5 (WCS)
366722595,5-Restricted SCPHF RE (CL)
386890595-Restricted SCPHF RE (CL)
397055233-Restricted SCPHF RE (CL)
407058172-Restricted SCPHF RE (CL)
41705859SCPHF Random Extension (CLS)
49705889CPHF IPO 6 (WCS)
518211074-Restricted SCPHF RE (CL)
528231653-Restricted SCPHF RE (CL)
558234592-Restricted SCPHF RE (CL)
67823537CPHF IPO 7 (WCS)
689243435-Restricted SCPHF RE (CL)
709387494-Restricted SCPHF RE (CL)
759408073-Restricted SCPHF RE (CL)
769411012-Restricted SCPHF RE (CL)
93941185CPHF IPO 8 (WCS)
9510563914-Restricted SCPHF RE (CL)
10110584493-Restricted SCPHF RE (CL)
10310587432-Restricted SCPHF RE (CL)
10611260275,5,5-Restricted SCPHF RE (CL)
11611428275,5-Restricted SCPHF RE (CL)
12711596275-Restricted SCPHF RE (CL)
13211740334-Restricted SCPHF RE (CL)
13511760913-Restricted SCPHF RE (CL)
13811763852-Restricted SCPHF RE (CL)
1401176427SCPHF Random Extension (CLS)
1931294069SCPHF Random Extension (CLS)
1951294129CPHF Random Extension (CLS)
2441411711SCPHF Random Extension (CLS)
2452101729Add 1 factors
2462548315Add 2 factors
2472822029Add 3 factors
2482922871Add 4 factors
2513023713Add 7 factors
2523724315Add 7 factors
2534170901Add 7 factors
2544444615Add 7 factors
2554545457Add 7 factors
2584646299Add 7 factors
3055176272perfect hash family4,305,193
3075176512perfect hash family4,307,195
3375529198perfect hash family4,388,244T51
3395529258perfect hash family4,388,244T49
3885646840perfect hash family4,388,244
3896352482Add 1 factors
4296470340perfect hash family5,429,193
4316470640perfect hash family5,431,195
4326588222perfect hash family5,440,196S4
4346705804perfect hash family5,440,196S3
4366823386perfect hash family5,440,196S2
4606940908perfect hash family5,550,238T45
4646940968perfect hash family5,550,238T43
5567058550perfect hash family5,556,244
5757529454Power CT25^2T2
6257529472Power CT25^2
6268335914Add 1 factors
6288352618perfect hash family6,730,244T51
6328352678perfect hash family6,730,244T49
7308470260perfect hash family6,730,244
7758700912Power N-CT31^2T6
7838756124Power N-CT29^2T2
8378784936Power N-CT31^2T4
8418787330Power N-CT29^2
8998816142Power N-CT31^2T2
9618818200Power N-CT31^2
9648823600Power N-CT31^2+3
9929411480Power CT32^2T1
10269411840Power CT32^2+2
10759629976Power N-CT41^2Trin3,7,7
11029646440Power N-CT41^2Trin2,7,7
11299646734Power N-CT41^2Trin1,7,7
11569646776Power N-CT41^2T7T7
11759647136Power N-CT47^2T22
11959730752Power N-CT41^2Trin1,5,7
12249730794Power N-CT41^2T7T5
12699731160Power N-CT47^2T20
12929747594Power N-CT41^2T7T3
13639762366Power N-CT47^2T18
13949764394Power N-CT41^2T7
14579764424Power N-CT47^2T16
15989764784Power N-CT47^2T13
16929848802Power N-CT47^2T11
17869865602Power N-CT47^2T9
18339882066Power N-CT47^2T8
18809882360Power N-CT47^2T7
19279882402Power N-CT47^2T6
22119882432Power N-CT47^2+2
221210991274Add 1 factors
222111175702Power N-CT53^2Trin4,4,4
231111290920Power N-CT53^2Trin2,4,4
235611292978Power N-CT53^2Trin1,4,4
240111293272Power N-CT53^2T4T4
241211378226Power N-CT67^2T31
254611395026Power N-CT67^2T29
254811410548Power N-CT53^2T4T1
259711410842Power N-CT53^2T4
261311411490Power N-CT67^2T28
269511411778Power N-CT59^2T10T4
274711411826Power N-CT67^2T26
328311411856Power N-CT67^2T18
341711527074Power N-CT67^2T16
348411529132Power N-CT67^2T15
368511529426Power N-CT67^2T12
448911529504Power N-CT67^2
455612096744Power N-CT73^2T6T5
469012111150Power N-CT73^2T6T3
489112113208Power N-CT73^2T6
502512117366Power N-CT79^2T12T4
509212117660Power N-CT79^2T12T3
596312117744Power N-CT89^2T22
605212218550Power N-CT89^2T21
623012232956Power N-CT89^2T19
667512235014Power N-CT89^2T14
676412235308Power N-CT89^2T13
792512235392perfect hash family13,7925,93
829313408032Power N-CT97^2Trin4,4,4
847113523238Power N-CT97^2Trin2,4,4
864913525296Power N-CT97^2T4T4
865313638444Power N-CT97^2Trin2,2,4
883513640502Power N-CT97^2T4T2
939313642560Power N-CT101^2T8
957913646088perfect hash family13,10609,103T10
959513757766Power N-CT101^2T6
1000013759824Power N-CT101^2
 Graph: