Table for CAN(6,k,7) 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,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)
122328974-Restricted SCPHF RE (CL)
132352492-Restricted SCPHF RE (CL)
153361335-Restricted SCPHF RE (CL)
173505394-Restricted SCPHF RE (CL)
204369755-Restricted SCPHF RE (CL)
214537755-Restricted SCPHF RE (CL)
224681814-Restricted SCPHF RE (CL)
23470575SCPHF Random Extension (CLS)
275546175-Restricted SCPHF RE (CL)
295858234-Restricted SCPHF RE (CL)
305878813-Restricted SCPHF RE (CL)
31588217SCPHF Random Extension (CLS)
336554595-Restricted SCPHF RE (CL)
366722595-Restricted SCPHF RE (CL)
386890595-Restricted SCPHF RE (CL)
397055233-Restricted SCPHF RE (CL)
407058172-Restricted SCPHF RE (CL)
41705859SCPHF Random Extension (CLS)
447731015-Restricted SCPHF RE (CL)
467899015-Restricted SCPHF RE (CL)
498067015-Restricted SCPHF RE (CL)
518211074-Restricted SCPHF RE (CL)
528231653-Restricted SCPHF RE (CL)
558234592-Restricted SCPHF RE (CL)
568739435-Restricted SCPHF RE (CL)
588907435-Restricted SCPHF RE (CL)
639075435-Restricted SCPHF RE (CL)
689243435-Restricted SCPHF RE (CL)
709387494-Restricted SCPHF RE (CL)
749408073-Restricted SCPHF RE (CL)
769411012-Restricted SCPHF RE (CL)
8010083855-Restricted SCPHF RE (CL)
8510251855-Restricted SCPHF RE (CL)
9310419855-Restricted SCPHF RE (CL)
9510563914-Restricted SCPHF RE (CL)
10110584493-Restricted SCPHF RE (CL)
10310587432-Restricted SCPHF RE (CL)
10611260275-Restricted SCPHF RE (CL)
11611428275-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)
2452114077Add 1 factors
2462560663Add 2 factors
2472834377Add 3 factors
2482935219Add 4 factors
2513036061Add 7 factors
2523738427Add 7 factors
2534185013Add 7 factors
2544458727Add 7 factors
2554559569Add 7 factors
2584660411Add 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
10559730392Power N-CT41^2Trin1,5,11
10809730434Power N-CT41^2T11T5
10909730728Power N-CT41^2Trin1,5,10
11169730770Power N-CT41^2T10T5
11409747234Power N-CT41^2T11T3
11509747528Power N-CT41^2Trin1,3,10
11789747570Power N-CT41^2T10T3
11899761976Power N-CT41^2T12
12009763992Power N-CT41^2T11T1
12309764034Power N-CT41^2T11
12409764328Power N-CT41^2T10T1
12719764370Power N-CT41^2T10
12969814812Power N-CT41^2T5T5
13029831276Power N-CT41^2Trin2,3,5
13359831570Power N-CT41^2Trin1,3,5
13689831612Power N-CT41^2T5T3
13709848034Power N-CT41^2Trin1,2,5
14049848076Power N-CT41^2T5T2
14059848328Power N-CT41^2Arc(2)T5
14409848370Power N-CT41^2T5T1
14769848412Power N-CT41^2T5
14829864876Power N-CT41^2T3T2
14839865128Power N-CT41^2Arc(2)T3
15209865170Power N-CT41^2T3T1
15589865212Power N-CT41^2T3
15609881634Power N-CT41^2T2T1
15999881676Power N-CT41^2T2
16009881928Power N-CT41^2T1T1
16409881970Power N-CT41^2T1
16819882012Power N-CT41^2
172010756116Power N-CT43^2T3
176310756158Power N-CT43^2T2
185010823400Power N-CT43^2+1
185211058600Power N-CT43^2+3
186111159400Power N-CT47^2Arc(8)
188611176158Power N-CT47^2T6T1
190111176200Power N-CT47^2Arc(7)
192711192958Power N-CT47^2T6
194211193000Power N-CT47^2Arc(6)
198411209800Power N-CT47^2Arc(5)
202711226600Power N-CT47^2Arc(4)
207111243400Power N-CT47^2Arc(3)
211611260200Power N-CT47^2T1T1
216211277000Power N-CT47^2T1
221111293800Power N-CT47^2+2
224411475702Power N-CT53^2T9T2
224511477466Power N-CT53^2Arc(2)T9
228811477760Power N-CT53^2T9T1
233211478054Power N-CT53^2T9
234611492502Power N-CT53^2T7T2
234711494266Power N-CT53^2Arc(2)T7
239211494560Power N-CT53^2T7T1
243811494854Power N-CT53^2T7
245211509008Power N-CT53^2Trin1,2,4
249911509302Power N-CT53^2T4T2
250011511066Power N-CT53^2Arc(2)T4
254811511360Power N-CT53^2T4T1
259711511654Power N-CT53^2T4
260111523708Power N-CT53^2T2T2
260211525472Power N-CT53^2Arc(2)T2
265211525766Power N-CT53^2T2T1
270311526060Power N-CT53^2T2
270411527824Power N-CT53^2T1T1
275611528118Power N-CT53^2T1
281111528412Power N-CT53^2+2
284011979318Power N-CT73^2Trin5,18,18
287011993472Power N-CT73^2T32T3
291411993724Power N-CT73^2Trin3,18,18
292011995488Power N-CT73^2T33
299311995530Power N-CT73^2T32
302511995782Power N-CT73^2T18T18
308012046266Power N-CT73^2T18T17
321212062772Power N-CT73^2T29
324012063402Power N-CT73^2Trin5,10,18
333012077808Power N-CT73^2Trin3,10,18
335812079572Power N-CT73^2T27
346512079866Power N-CT73^2T18T10
349012080202Power N-CT73^2Trin5,5,18
359012094608Power N-CT73^2Trin3,5,18
374012096666Power N-CT73^2T18T5
385012111072Power N-CT73^2T18T3
401512113130Power N-CT73^2T18
408812163614Power N-CT73^2T17
411012178692Power N-CT73^2Trin3,5,10
423412180414Power N-CT73^2T15
428412180750Power N-CT73^2T10T5
430912181086Power N-CT73^2Trin5,5,5
441012195156Power N-CT73^2T10T3
443512195492Power N-CT73^2Trin3,5,5
459912197214Power N-CT73^2T10
462412197550Power N-CT73^2T5T5
476012211956Power N-CT73^2T5T3
496412214014Power N-CT73^2T5
511012228420Power N-CT73^2T3
533012230478Power N-CT73^2+1
533212234300Power N-CT73^2+3
541112906846Power N-CT79^2Trin3,3,5
555712907140Power N-CT79^2Trin3,3,3
562412974130Power N-CT79^2T5T3
577612974424Power N-CT79^2T3T3
584613041414Power N-CT79^2T5
600413041708Power N-CT79^2T3
624213108992Power N-CT79^2+1
630813243308Power N-CT83^2T7
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
808013709760Power N-CT101^2T21
829313710432Power N-CT97^2Trin4,4,4
847113724838Power N-CT97^2Trin2,4,4
858513726560Power N-CT101^2T16
864913726896Power N-CT97^2T4T4
875513730088perfect hash family13,10609,103T18
883513741302Power N-CT97^2T4T2
939313743360Power N-CT101^2T8
957913746888perfect hash family13,10609,103T10
959513757766Power N-CT101^2T6
1000013759824Power N-CT101^2
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