Table for CAN(6,k,6) 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,6) 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
746656composition
870761orthogonal array fuse postop NCK
9106471Torres-Jimenez
10131742MIPOG (Younis) postop NCK
11157440Martirosyan-TVT postop NCK
12183244Martirosyan-TVT postop NCK
13210598Martirosyan-TVT postop NCK
14235561Martirosyan-TVT postop NCK
15261440Martirosyan-TVT postop NCK
16286636Martirosyan-TVT postop NCK
173505374-Restricted SCPHF RE (CL) fuse
18423468Two-stage (Sarkar-Colbourn)
204369735-Restricted SCPHF RE (CL) fuse
214537735-Restricted SCPHF RE (CL) fuse
224681794-Restricted SCPHF RE (CL) fuse
23470573SCPHF Random Extension (CLS) fuse
24512940Two-stage (Sarkar-Colbourn)
25525536Two-stage (Sarkar-Colbourn)
26537396Two-stage (Sarkar-Colbourn)
27548781Two-stage (Sarkar-Colbourn)
295858214-Restricted SCPHF RE (CL) fuse
305878793-Restricted SCPHF RE (CL) fuse
31588215SCPHF Random Extension (CLS) fuse
336554575-Restricted SCPHF RE (CL) fuse
366722575-Restricted SCPHF RE (CL) fuse
386890575-Restricted SCPHF RE (CL) fuse
397055213-Restricted SCPHF RE (CL) fuse
407058152-Restricted SCPHF RE (CL) fuse
41705857SCPHF Random Extension (CLS) fuse
447730995-Restricted SCPHF RE (CL) fuse
467898995-Restricted SCPHF RE (CL) fuse
498066995-Restricted SCPHF RE (CL) fuse
518211054-Restricted SCPHF RE (CL) fuse
528231633-Restricted SCPHF RE (CL) fuse
558234572-Restricted SCPHF RE (CL) fuse
568739415-Restricted SCPHF RE (CL) fuse
588907415-Restricted SCPHF RE (CL) fuse
639075415-Restricted SCPHF RE (CL) fuse
689243415-Restricted SCPHF RE (CL) fuse
709387474-Restricted SCPHF RE (CL) fuse
749408053-Restricted SCPHF RE (CL) fuse
769410992-Restricted SCPHF RE (CL) fuse
8010083835-Restricted SCPHF RE (CL) fuse
8510251835-Restricted SCPHF RE (CL) fuse
9310419835-Restricted SCPHF RE (CL) fuse
9510563894-Restricted SCPHF RE (CL) fuse
10110584473-Restricted SCPHF RE (CL) fuse
10310587412-Restricted SCPHF RE (CL) fuse
10611260255-Restricted SCPHF RE (CL) fuse
11611428255-Restricted SCPHF RE (CL) fuse
12711596255-Restricted SCPHF RE (CL) fuse
13211740314-Restricted SCPHF RE (CL) fuse
13511760893-Restricted SCPHF RE (CL) fuse
13811763832-Restricted SCPHF RE (CL) fuse
1401176425SCPHF Random Extension (CLS) fuse
1931294067SCPHF Random Extension (CLS) fuse
1951294127CPHF Random Extension (CLS) fuse
2441411709SCPHF Random Extension (CLS) fuse
2451888349Add 1 factors
2462101829Add 2 factors
2472526905Add 3 factors
2492527986Add 5 factors
2502614426Add 6 factors
2512828999Add 7 factors
2523305639Add 7 factors
2533525599Add 2 factors
2543655167Add 5 factors
2553741607Add 5 factors
2563829390Add 6 factors
2574043963Add 6 factors
2584258931Add 7 factors
2594735571Add 7 factors
2604868788Add 5 factors
2614956571Add 6 factors
2625044354Add 6 factors
2635070736Martirosyan-TVT variant
2645072300Martirosyan-TVT
2655079418Martirosyan-TVT variant
2685110752Martirosyan-TVT
2695116239Martirosyan-TVT variant
2705121726Martirosyan-TVT
2715123880Martirosyan-TVT variant
2725125740Martirosyan-TVT
2735129088Martirosyan-TVT variant
2745132436Martirosyan-TVT
2755136603Martirosyan-TVT variant
2765139300Martirosyan-TVT
2775141667Martirosyan-TVT variant
2785143992Martirosyan-TVT
2795146689Martirosyan-TVT variant
2805149386Martirosyan-TVT
3055176264perfect hash family4,305,193
3075176504perfect hash family4,307,195
3375529190perfect hash family4,388,244T51
3395529250perfect hash family4,388,244T49
3885646832perfect hash family4,388,244
3905796791Martirosyan-Colbourn
3965914373Martirosyan-Colbourn
4105915843Martirosyan-Colbourn
4185916053Martirosyan-Colbourn
4225916293Martirosyan-Colbourn
4605964143Martirosyan-Colbourn
4885976113Martirosyan-Colbourn
4906452753Martirosyan-Colbourn
4926666233Martirosyan-Colbourn
5567058540perfect hash family5,556,244
5577535180Add 1 factors
5587794380Add 2 factors
5608256615Add 5 factors
5618258267Add 5 factors
6288352606perfect hash family6,730,244T51
6328352666perfect hash family6,730,244T49
7308470248perfect hash family6,730,244
7548738875Power N-CT29^2T3
7838750260Power N-CT29^2T2
8068772391Power N-CT31^2T5
8108783440Power N-CT31^2T4T1
8378783776Power N-CT31^2T4
8418787300Power N-CT29^2
8428818170Power N-CT29^2+1
8708820480Power N-CT31^2T2T1
8998820816Power N-CT31^2T2
9008822538Power N-CT31^2T1T1
9308822874Power N-CT31^2T1
9618823210Power N-CT31^2
9629299850Add 1 factors
9639592710Add 2 factors
9849689067Power N-CT41^2T17
9889696723Power N-CT41^2T15T3
10009701621Power N-CT41^2T16T1
10259701663Power N-CT41^2T16
10269708108Power N-CT41^2T14T3
10409713481Power N-CT41^2T15T1
10669713523Power N-CT41^2T15
10809724866Power N-CT41^2T14T1
11079724908Power N-CT41^2T14
11169730742Power N-CT41^2T10T5
11409747206Power N-CT41^2T11T3
11509747500Power N-CT41^2Trin1,3,10
11789747542Power N-CT41^2T10T3
11899761948Power N-CT41^2T12
12009763964Power N-CT41^2T11T1
12309764006Power N-CT41^2T11
12409764300Power N-CT41^2T10T1
12719764342Power N-CT41^2T10
12969814784Power N-CT41^2T5T5
13029831248Power N-CT41^2Trin2,3,5
13359831542Power N-CT41^2Trin1,3,5
13689831584Power N-CT41^2T5T3
13709848006Power N-CT41^2Trin1,2,5
14049848048Power N-CT41^2T5T2
14059848300Power N-CT41^2Arc(2)T5
14409848342Power N-CT41^2T5T1
14769848384Power N-CT41^2T5
14829864848Power N-CT41^2T3T2
14839865100Power N-CT41^2Arc(2)T3
15209865142Power N-CT41^2T3T1
15589865184Power N-CT41^2T3
15609881606Power N-CT41^2T2T1
15999881648Power N-CT41^2T2
16009881900Power N-CT41^2T1T1
16409881942Power N-CT41^2T1
16819881984Power N-CT41^2
168210358624Add 1 factors
168310695044Add 2 factors
172010756088Power N-CT43^2T3
176310756130Power N-CT43^2T2
185010823372Power N-CT43^2+1
185211058572Power N-CT43^2+3
186111159372Power N-CT47^2Arc(8)
188611176130Power N-CT47^2T6T1
190111176172Power N-CT47^2Arc(7)
192711192930Power N-CT47^2T6
194211192972Power N-CT47^2Arc(6)
198411209772Power N-CT47^2Arc(5)
202711226572Power N-CT47^2Arc(4)
207111243372Power N-CT47^2Arc(3)
211611260172Power N-CT47^2T1T1
216211276972Power N-CT47^2T1
221111293772Power N-CT47^2+2
224411475674Power N-CT53^2T9T2
224511477438Power N-CT53^2Arc(2)T9
228811477732Power N-CT53^2T9T1
233211478026Power N-CT53^2T9
234611492474Power N-CT53^2T7T2
234711494238Power N-CT53^2Arc(2)T7
239211494532Power N-CT53^2T7T1
243811494826Power N-CT53^2T7
245211508980Power N-CT53^2Trin1,2,4
249911509274Power N-CT53^2T4T2
250011511038Power N-CT53^2Arc(2)T4
254811511332Power N-CT53^2T4T1
259711511626Power N-CT53^2T4
260111523680Power N-CT53^2T2T2
260211525444Power N-CT53^2Arc(2)T2
265211525738Power N-CT53^2T2T1
270311526032Power N-CT53^2T2
270411527796Power N-CT53^2T1T1
275611528090Power N-CT53^2T1
281111528384Power N-CT53^2+2
284011979292Power N-CT73^2Trin5,18,18
287011993446Power N-CT73^2T32T3
291411993698Power N-CT73^2Trin3,18,18
292011995462Power N-CT73^2T33
299311995504Power N-CT73^2T32
302511995756Power N-CT73^2T18T18
308012046240Power N-CT73^2T18T17
321212062746Power N-CT73^2T29
324012063376Power N-CT73^2Trin5,10,18
333012077782Power N-CT73^2Trin3,10,18
335812079546Power N-CT73^2T27
346512079840Power N-CT73^2T18T10
349012080176Power N-CT73^2Trin5,5,18
359012094582Power N-CT73^2Trin3,5,18
374012096640Power N-CT73^2T18T5
385012111046Power N-CT73^2T18T3
401512113104Power N-CT73^2T18
408812163588Power N-CT73^2T17
411012178666Power N-CT73^2Trin3,5,10
423412180388Power N-CT73^2T15
428412180724Power N-CT73^2T10T5
430912181060Power N-CT73^2Trin5,5,5
441012195130Power N-CT73^2T10T3
443512195466Power N-CT73^2Trin3,5,5
459912197188Power N-CT73^2T10
462412197524Power N-CT73^2T5T5
476012211930Power N-CT73^2T5T3
496412213988Power N-CT73^2T5
511012228394Power N-CT73^2T3
533012230452Power N-CT73^2+1
533212234274Power N-CT73^2+3
541112906820Power N-CT79^2Trin3,3,5
555712907114Power N-CT79^2Trin3,3,3
562412974104Power N-CT79^2T5T3
577612974398Power N-CT79^2T3T3
584613041388Power N-CT79^2T5
600413041682Power N-CT79^2T3
624213108966Power N-CT79^2+1
630813243282Power N-CT83^2T7
640013293766Power N-CT83^2T3T3
664013310566Power N-CT83^2T3
689113327366Power N-CT83^2+2
690113495366Power N-CT89^2Trin4,4,4
722513512166Power N-CT89^2T4T4
756513528966Power N-CT89^2T4
792513545766perfect hash family13,7925,93
808013709734Power N-CT101^2T21
829313710406Power N-CT97^2Trin4,4,4
847113724812Power N-CT97^2Trin2,4,4
858513726534Power N-CT101^2T16
864913726870Power N-CT97^2T4T4
875513730062perfect hash family13,10609,103T18
883513741276Power N-CT97^2T4T2
939313743334Power N-CT101^2T8
957913746862perfect hash family13,10609,103T10
959513757740Power N-CT101^2T6
1000013759798Power N-CT101^2
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