Table for CAN(5,k,7) for k up to 10000

Last Updated Sat Jul 28 12:53:06 MST 2018

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;5,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
816807orthogonal array
927639orthogonal array fuse postop NCK
12312134-Restricted SCPHF RE (CL)
14332713-Restricted SCPHF RE (CL)
19480134-Restricted SCPHF RE (CL)
21500713-Restricted SCPHF RE (CL)
2250419CPHF Random Extension (CLS)
27624194,4-Restricted SCPHF RE (CL)
28644774,3-restricted SCPHF RE (CL)
29648134-Restricted SCPHF RE (CL)
30668293,2-restricted SCPHF RE (CL)
31668713-Restricted SCPHF RE (CL)
39792194,4-Restricted SCPHF RE (CL)
42812774,3-restricted SCPHF RE (CL)
43816134-Restricted SCPHF RE (CL)
47836293,2-restricted SCPHF RE (CL)
50936254,4,4-Restricted SCPHF RE (CL)
59960194,4-Restricted SCPHF RE (CL)
61984134-Restricted SCPHF RE (CL)
671004713-Restricted SCPHF RE (CL)
681007652-Restricted SCPHF RE (CL)
69100807SCPHF Random Extension (CLS)
771104254,4,4-Restricted SCPHF RE (CL)
821128194,4-Restricted SCPHF RE (CL)
931152134-Restricted SCPHF RE (CL)
961172713-Restricted SCPHF RE (CL)
991175652-Restricted SCPHF RE (CL)
101117607SCPHF Random Extension (CLS)
1121272254,4,4-Restricted SCPHF RE (CL)
1211296194,4-Restricted SCPHF RE (CL)
1321320134-Restricted SCPHF RE (CL)
1401340713-Restricted SCPHF RE (CL)
1481343652-Restricted SCPHF RE (CL)
149134407SCPHF Random Extension (CLS)
1591440254,4,4-Restricted SCPHF RE (CL)
1791464194,4-Restricted SCPHF RE (CL)
1951488134-Restricted SCPHF RE (CL)
2011508713-Restricted SCPHF RE (CL)
2051511652-Restricted SCPHF RE (CL)
209151207SCPHF Random Extension (CLS)
211151255CPHF Random Extension (CLS)
2301608254,4,4-Restricted SCPHF RE (CL)
2531632194,4-Restricted SCPHF RE (CL)
2841656134-Restricted SCPHF RE (CL)
3151676713-Restricted SCPHF RE (CL)
318168061CPHF Random Extension (CLS)
3411776254,4,4-Restricted SCPHF RE (CL)
3611800194,4-Restricted SCPHF RE (CL)
4181824134-Restricted SCPHF RE (CL)
4471844713-Restricted SCPHF RE (CL)
4511847652-Restricted SCPHF RE (CL)
454184807SCPHF Random Extension (CLS)
455184867CPHF Random Extension (CLS)
4951944254,4,4-Restricted SCPHF RE (CL)
5461968194,4-Restricted SCPHF RE (CL)
5921992134-Restricted SCPHF RE (CL)
6282012713-Restricted SCPHF RE (CL)
6602015652-Restricted SCPHF RE (CL)
661201607SCPHF Random Extension (CLS)
6792112254,4,4-Restricted SCPHF RE (CL)
7022136194,4-Restricted SCPHF RE (CL)
703293293Add 1 factors
704338275Add 2 factors
705352681Add 3 factors
709367087Add 7 factors
7493849504,4-Restricted SCPHF RE (CL) fuse
8123890384-Restricted SCPHF RE (CL) fuse
813470476Add 1 factors
814516928Add 2 factors
815531334Add 3 factors
836532412Martirosyan-Colbourn
894534470Martirosyan-Colbourn
902534764Martirosyan-Colbourn
908534806Martirosyan-Colbourn
910534866Martirosyan-Colbourn
914544424Martirosyan-Colbourn
950544676Martirosyan-Colbourn
990552992Martirosyan-Colbourn
1054555386Martirosyan-Colbourn
1092557402Martirosyan-Colbourn
1102559796Martirosyan-Colbourn
1184561812Martirosyan-Colbourn
1256563870Martirosyan-Colbourn
1262564164Martirosyan-Colbourn
1320565928Martirosyan-Colbourn
1322565970Martirosyan-Colbourn
1358575588Martirosyan-Colbourn
1404577982Martirosyan-Colbourn
1406657656Martirosyan-Colbourn
1408702638Martirosyan-Colbourn
1410717044Martirosyan-Colbourn
1447725310Power N-CT41^2Trin2,2,2
1521727368Power N-CT41^2T2T2
1599729426Power N-CT41^2T2
1600731442Power N-CT43^2Arc(2)T4
1682731484Power N-CT41^2+1
1683733164Power N-CT43^2Arc(4)
1723733500Power N-CT43^2Arc(3)
1764733836Power N-CT43^2T1T1
1806734172Power N-CT43^2T1
1849734508Power N-CT43^2
1974750300Power N-CT47^2T5
2021750636Power N-CT47^2T4
2209752652Power N-CT47^2
2235788280perfect hash family4,3125,625T178
2255788574perfect hash family4,3125,625T174
2270788616perfect hash family4,3125,625T171
2275788676perfect hash family4,3125,625T170
2475798234perfect hash family4,3125,625T130
2730800628perfect hash family4,3125,625T79
2960803022perfect hash family4,3125,625T33
3125805080perfect hash family4,3125,625
3481864162Power N-CT59^2
3599883314Power N-CT61^2T2
3721885708Power N-CT61^2
3953899778Power N-CT67^2T8
4087902172Power N-CT67^2T6
4489904230Power N-CT67^2
4490906876Power N-CT67^2+1
4491907254Power N-CT67^2+2
4493964626Power N-CT71^2Trin2,2,4
4494964878Power N-CT71^2Trin2,3,3
4560964920Power N-CT71^2Trin2,2,3
4627964962Power N-CT71^2Trin2,2,2
4692974538Power N-CT71^2T3T2
4761974580Power N-CT71^2T2T2
4891983862Power N-CT73^2T6
4964984156Power N-CT73^2T5
5037984198Power N-CT73^2T4
5333993816perfect hash family9,5333,77
53721003308Power N-CT79^2T11
54511003350Power N-CT79^2T10
57791008180Power N-CT79^2Trin2,2,2
59291010574Power N-CT79^2T2T2
60831012968Power N-CT79^2T2
62441015362Power N-CT79^2+3
62531017756Power N-CT83^2Arc(8)
63291020150Power N-CT83^2Arc(7)
64061022544Power N-CT83^2Arc(6)
64841024938Power N-CT83^2Arc(5)
65631027332Power N-CT83^2Arc(4)
66431029726Power N-CT83^2Arc(3)
68531032120Power N-CT89^2T12
72981034514Power N-CT89^2T7
79251036908perfect hash family9,7925,93
82931051020Power N-CT97^2Trin4,4,4
85601053078Power N-CT97^2Trin1,4,4
86491053372Power N-CT97^2T4T4
86551054548Power N-CT97^2Arc(4)T4
87451054842Power N-CT97^2Arc(3)T4
88361055136Power N-CT97^2Arc(2)T4
89281055430Power N-CT97^2T4T1
90211055724Power N-CT97^2T4
90251055976Power N-CT101^2Trin2,2,8
92071056018Power N-CT101^2T8T2
93931056060Power N-CT101^2T8
95041058076Power N-CT101^2T5T2
96961058118Power N-CT101^2T5
98011058370Power N-CT101^2T2T2
99991058412Power N-CT101^2T2
100001058454Power N-CT101^2
 Graph: