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

Last Updated Tue Mar 8 20:11:31 MST 2022

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)
3467225CPHF IPO 4 (WCS)
39792194,4-Restricted SCPHF RE (CL)
42812774,3-restricted SCPHF RE (CL)
43816134-Restricted SCPHF RE (CL)
45833353,3-Restricted SCPHF RE (CL)
47836293,2-restricted SCPHF RE (CL)
5284031CPHF IPO 5 (WCS)
5495683SCPHF CLS - other
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)
78100837CPHF IPO 6 (WCS)
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)
118117643CPHF IPO 7 (WCS)
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)
188134449CPHF IPO 8 (WCS)
1951488134-Restricted SCPHF RE (CL)
2011508713-Restricted SCPHF RE (CL)
2051511652-Restricted SCPHF RE (CL)
209151207SCPHF Random Extension (CLS)
277151255CPHF IPO 9 (WCS)
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
813468712Add 1 factors
814515164Add 2 factors
815529570Add 3 factors
836532160Martirosyan-Colbourn
894534218Martirosyan-Colbourn
902534512Martirosyan-Colbourn
908534554Martirosyan-Colbourn
910534614Martirosyan-Colbourn
918544172Martirosyan-Colbourn
938544424Martirosyan-Colbourn
958544676Martirosyan-Colbourn
990544928Martirosyan-Colbourn
1092547322Martirosyan-Colbourn
1184549716Martirosyan-Colbourn
1256551774Martirosyan-Colbourn
1306552068Martirosyan-Colbourn
1320563912Martirosyan-Colbourn
1322563954Martirosyan-Colbourn
1324573572Martirosyan-Colbourn
1336573824Martirosyan-Colbourn
1358575336Martirosyan-Colbourn
1404577730Martirosyan-Colbourn
1406657404Martirosyan-Colbourn
1408702386Martirosyan-Colbourn
1410716792Martirosyan-Colbourn
1428719784Power N-CT43^2T9T1
1462720120Power N-CT43^2T9
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
1884741864Power N-CT53^2Arc(9)T11
1928742200Power N-CT53^2Arc(9)T10
2016743922Power N-CT53^2Arc(9)T8
2104744216Power N-CT53^2Arc(9)T6
2280744618Power N-CT53^2Arc(9)T2
2368756270Power N-CT53^2Arc(9)
2413767922Power N-CT53^2Arc(8)
2459779574Power N-CT53^2Arc(7)
2506791226Power N-CT53^2Arc(6)
2730800628perfect hash family4,3125,625T79
2960803022perfect hash family4,3125,625T33
3125805080perfect hash family4,3125,625
3186863826Power N-CT59^2T5
3481864162Power N-CT59^2
3676878736Power N-CT79^2Arc(9)T27
3721885708Power N-CT61^2
3816890388Power N-CT79^2Arc(9)T25
4166890724Power N-CT79^2Arc(9)T20
4306893118Power N-CT79^2Arc(9)T18
4726895176Power N-CT79^2Arc(9)T12
4796895470Power N-CT79^2Arc(9)T11
4866895512Power N-CT79^2Arc(9)T10
5426895542Power N-CT79^2Arc(9)T2
5566907524Power N-CT79^2Arc(9)
5637919506Power N-CT79^2Arc(8)
5709931488Power N-CT79^2Arc(7)
5782943470Power N-CT79^2Arc(6)
5856955452Power N-CT79^2Arc(5)
5931967434Power N-CT79^2Arc(4)
6007979416Power N-CT79^2Arc(3)
6084991398Power N-CT79^2T1T1
61621003380Power N-CT79^2T1
61681012956Power N-CT83^2Arc(4)T5
62431015350Power N-CT83^2Arc(3)T5
62441015362Power N-CT79^2+3
63191017744Power N-CT83^2Arc(2)T5
63961020138Power N-CT83^2T5T1
69421022532Power N-CT89^2T11
72981034514Power N-CT89^2T7
79251036908perfect hash family9,7925,93
88141041972perfect hash family9,12769,113T35
92661053954perfect hash family9,12769,113T31
93931056060Power N-CT101^2T8
100001056348perfect hash family9,11881,109T16
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