Table for CAN(6,k,7) 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,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
11218491Quint-Restricted SCPHF RE (C)
12232897Quad-Restricted SCPHF RE (C)
13235249Path-Restricted SCPHF RE (C)
15336133Quint-Restricted SCPHF RE (C)
17350539Quad-Restricted SCPHF RE (C)
20436975Quint-Restricted SCPHF RE (C)
21453775Quint-Restricted SCPHF RE (C)
22468181Quad-Restricted SCPHF RE (C)
23470575SCPHF Random Extension (CLS)
27554617Quint-Restricted SCPHF RE (C)
29585823Quad-Restricted SCPHF RE (C)
30587881Tri-Restricted SCPHF RE (C)
31588217SCPHF Random Extension (CLS)
33655459Quint-Restricted SCPHF RE (C)
36672259Quint-Restricted SCPHF RE (C)
38689059Quint-Restricted SCPHF RE (C)
41705859SCPHF Random Extension (CLS)
44773101Quint-Restricted SCPHF RE (C)
49806701Quint-Restricted SCPHF RE (C)
55823501SCPHF Random Extension (CLS)
56873943Quint-Restricted SCPHF RE (C)
57890743Quint-Restricted SCPHF RE (C)
62907543Quint-Restricted SCPHF RE (C)
68924343Quint-Restricted SCPHF RE (C)
74941143SCPHF Random Extension (CLS)
801008385Quint-Restricted SCPHF RE (C)
851025185Quint-Restricted SCPHF RE (C)
931041985Quint-Restricted SCPHF RE (C)
981058785SCPHF Random Extension (CLS)
1001058833CPHF Random Extension (CLS)
1401176427SCPHF Random Extension (CLS)
1931294069SCPHF Random Extension (CLS)
1951294129CPHF Random Extension (CLS)
2441411711SCPHF Random Extension (CLS)
2452115841Add 1 factors
2462562427Add 2 factors
2472836141Add 3 factors
2482936983Add 4 factors
2513037825Add 7 factors
2523741955Add 7 factors
2534188541Add 7 factors
2544462255Add 7 factors
2554563097Add 7 factors
2584663939Add 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
3896437406Add 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
5577949664Add 1 factors
6288352618perfect hash family6,730,244T51
6328352678perfect hash family6,730,244T49
7308470260perfect hash family6,730,244
7838756124Power N-CT29^2T2
8418787330Power N-CT29^2
8428818200Power N-CT29^2+1
8708820510Power N-CT31^2T2T1
8998820846Power N-CT31^2T2
9008822568Power N-CT31^2T1T1
9308822904Power N-CT31^2T1
9618823240Power N-CT31^2
9869697170Power N-CT41^2Trin5,5,10
10059713634Power N-CT41^2Trin3,5,11
10389713970Power N-CT41^2Trin3,5,10
10449728376Power N-CT41^2T12T5
10809730434Power N-CT41^2T11T5
11169730770Power N-CT41^2T10T5
11409747234Power N-CT41^2T11T3
11789747570Power N-CT41^2T10T3
11899761976Power N-CT41^2T12
12309764034Power N-CT41^2T11
12719764370Power N-CT41^2T10
12969814812Power N-CT41^2T5T5
13689831612Power N-CT41^2T5T3
14769848412Power N-CT41^2T5
15589865212Power N-CT41^2T3
16819882012Power N-CT41^2
176310756158Power N-CT43^2T2
185010823400Power N-CT43^2+1
192711192958Power N-CT47^2T6
193611226600Power N-CT47^2T3T3
206811260200Power N-CT47^2T3
221111293800Power N-CT47^2+2
233211478600Power N-CT53^2T9
240111495400Power N-CT53^2T4T4
259711512200Power N-CT53^2T4
281111529000Power N-CT53^2+2
284011982762Power N-CT73^2Trin5,18,18
302511999562Power N-CT73^2T18T18
308012050004Power N-CT73^2T18T17
321212066804Power N-CT73^2T29
349012083604Power N-CT73^2Trin5,5,18
374012100404Power N-CT73^2T18T5
401512117204Power N-CT73^2T18
408812167646Power N-CT73^2T17
430912184446Power N-CT73^2Trin5,5,5
462412201246Power N-CT73^2T5T5
496412218046Power N-CT73^2T5
533012234846Power N-CT73^2+1
547612974508Power N-CT79^2T5T5
584613041750Power N-CT79^2T5
624213108992Power N-CT79^2+1
640013293792Power N-CT83^2T3T3
664013310592Power N-CT83^2T3
689113327392Power N-CT83^2+2
690113495392Power N-CT89^2Trin4,4,4
722513512192Power N-CT89^2T4T4
756513528992Power N-CT89^2T4
792513545792perfect hash family13,7925,93
826213630374Power N-CT101^2Arc(13)T8
870213647174Power N-CT101^2Arc(13)T3
879013647222Power N-CT101^2Arc(13)T2
902113747392Power N-CT97^2T4
941013764192Power N-CT97^2+1
941213764816Power N-CT97^2+3
942114352786Power N-CT101^2Arc(8)
951514470380Power N-CT101^2Arc(7)
961014587974Power N-CT101^2Arc(6)
970614705568Power N-CT101^2Arc(5)
980314823162Power N-CT101^2Arc(4)
990114940756Power N-CT101^2Arc(3)
1000015058350Power N-CT101^2T1T1
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