Table for CAN(6,k,6) 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,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
17350537Quad-Restricted SCPHF RE (C) fuse
18423468Two-stage (Sarkar-Colbourn)
20436973Quint-Restricted SCPHF RE (C) fuse
21453773Quint-Restricted SCPHF RE (C) fuse
22468179Quad-Restricted SCPHF RE (C) fuse
23470573SCPHF Random Extension (CLS) fuse
24512940Two-stage (Sarkar-Colbourn)
25525536Two-stage (Sarkar-Colbourn)
26537396Two-stage (Sarkar-Colbourn)
27548781Two-stage (Sarkar-Colbourn)
29585821Quad-Restricted SCPHF RE (C) fuse
30587879Tri-Restricted SCPHF RE (C) fuse
31588215SCPHF Random Extension (CLS) fuse
33655457Quint-Restricted SCPHF RE (C) fuse
36672257Quint-Restricted SCPHF RE (C) fuse
38689057Quint-Restricted SCPHF RE (C) fuse
41705857SCPHF Random Extension (CLS) fuse
44773099Quint-Restricted SCPHF RE (C) fuse
49806699Quint-Restricted SCPHF RE (C) fuse
55823499SCPHF Random Extension (CLS) fuse
56873941Quint-Restricted SCPHF RE (C) fuse
57890741Quint-Restricted SCPHF RE (C) fuse
62907541Quint-Restricted SCPHF RE (C) fuse
68924341Quint-Restricted SCPHF RE (C) fuse
74941141SCPHF Random Extension (CLS) fuse
801008383Quint-Restricted SCPHF RE (C) fuse
851025183Quint-Restricted SCPHF RE (C) fuse
931041983Quint-Restricted SCPHF RE (C) fuse
981058783SCPHF Random Extension (CLS) fuse
1001058831CPHF Random Extension (CLS) 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
2635074810Martirosyan-TVT variant
2645076374Martirosyan-TVT
2655081434Martirosyan-TVT variant
2685112768Martirosyan-TVT
2695118255Martirosyan-TVT variant
2705123742Martirosyan-TVT
2715125602Martirosyan-TVT variant
2725127462Martirosyan-TVT
2735130810Martirosyan-TVT variant
2745134158Martirosyan-TVT
2755136855Martirosyan-TVT variant
2765139552Martirosyan-TVT
2775141877Martirosyan-TVT variant
2785144202Martirosyan-TVT
2795146899Martirosyan-TVT variant
2805149596Martirosyan-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
3905798471Martirosyan-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
10259701663Power N-CT41^2T16
10269708108Power N-CT41^2T14T3
10669713523Power N-CT41^2T15
11079724908Power N-CT41^2T14
11169730742Power N-CT41^2T10T5
11409747206Power N-CT41^2T11T3
11789747542Power N-CT41^2T10T3
11899761948Power N-CT41^2T12
12309764006Power N-CT41^2T11
12719764342Power N-CT41^2T10
12969814784Power N-CT41^2T5T5
13689831584Power N-CT41^2T5T3
14769848384Power N-CT41^2T5
15589865184Power N-CT41^2T3
16819881984Power N-CT41^2
168210358624Add 1 factors
168310695044Add 2 factors
176310756130Power N-CT43^2T2
185010823372Power N-CT43^2+1
192711192930Power N-CT47^2T6
193611226572Power N-CT47^2T3T3
206811260172Power N-CT47^2T3
221111293772Power N-CT47^2+2
233211478572Power N-CT53^2T9
240111495372Power N-CT53^2T4T4
259711512172Power N-CT53^2T4
281111528972Power N-CT53^2+2
284011982736Power N-CT73^2Trin5,18,18
302511999536Power N-CT73^2T18T18
308012049978Power N-CT73^2T18T17
321212066778Power N-CT73^2T29
349012083578Power N-CT73^2Trin5,5,18
374012100378Power N-CT73^2T18T5
401512117178Power N-CT73^2T18
408812167620Power N-CT73^2T17
430912184420Power N-CT73^2Trin5,5,5
462412201220Power N-CT73^2T5T5
496412218020Power N-CT73^2T5
533012234820Power N-CT73^2+1
533112959980Add 1 factors
547612974482Power N-CT79^2T5T5
584613041724Power N-CT79^2T5
624213108966Power N-CT79^2+1
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
826213630348Power N-CT101^2Arc(13)T8
870213647148Power N-CT101^2Arc(13)T3
879013647196Power N-CT101^2Arc(13)T2
902113747366Power N-CT97^2T4
941013764166Power N-CT97^2+1
941213764790Power N-CT97^2+3
942114352760Power N-CT101^2Arc(8)
951514470354Power N-CT101^2Arc(7)
961014587948Power N-CT101^2Arc(6)
970614705542Power N-CT101^2Arc(5)
980314823136Power N-CT101^2Arc(4)
990114940730Power N-CT101^2Arc(3)
1000015058324Power N-CT101^2T1T1
 Graph: