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

Last Updated Wed Jun 6 17:38:18 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,5) 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
63125orthogonal array
74375Ji-Li-Yin
85000Xu-Ji-Dong
1256254-Restricted SCPHF RE (CL)
1587454-Restricted SCPHF RE (CL)
1692453-Restricted SCPHF RE (CL)
1793452-Restricted SCPHF RE (CL)
20112454-Restricted SCPHF RE (CL)
21118654-Restricted SCPHF RE (CL)
23123653-Restricted SCPHF RE (CL)
2412485SCPHF Random Extension (CLS)
27143654-Restricted SCPHF RE (CL)
29149854-Restricted SCPHF RE (CL)
32154853-Restricted SCPHF RE (CL)
34168654-Restricted SCPHF RE (CL)
39174854-Restricted SCPHF RE (CL)
42186053-Restricted SCPHF RE (CL)
43187052-Restricted SCPHF RE (CL)
4418745CPHF Random Extension (CLS)
45199854-Restricted SCPHF RE (CL)
51206054-Restricted SCPHF RE (CL)
54212254-Restricted SCPHF RE (CL)
58217253-Restricted SCPHF RE (CL)
59218252-Restricted SCPHF RE (CL)
62231054-Restricted SCPHF RE (CL)
67237254-Restricted SCPHF RE (CL)
73243454-Restricted SCPHF RE (CL)
78248453-Restricted SCPHF RE (CL)
7924965SCPHF Random Extension (CLS)
84262254-Restricted SCPHF RE (CL)
91268454-Restricted SCPHF RE (CL)
95274654-Restricted SCPHF RE (CL)
99279653-Restricted SCPHF RE (CL)
107280652-Restricted SCPHF RE (CL)
110293454-Restricted SCPHF RE (CL)
117299654-Restricted SCPHF RE (CL)
131305854-Restricted SCPHF RE (CL)
137310853-Restricted SCPHF RE (CL)
142311852-Restricted SCPHF RE (CL)
14331241CPHF Random Extension (CLS)
150324654-Restricted SCPHF RE (CL)
162330854-Restricted SCPHF RE (CL)
175337054-Restricted SCPHF RE (CL)
189342053-Restricted SCPHF RE (CL)
19234325SCPHF Random Extension (CLS)
19434365CPHF Random Extension (CLS)
200355854-Restricted SCPHF RE (CL)
220362054-Restricted SCPHF RE (CL)
237368254-Restricted SCPHF RE (CL)
252373253-Restricted SCPHF RE (CL)
254374252-Restricted SCPHF RE (CL)
25637445SCPHF Random Extension (CLS)
265387054-Restricted SCPHF RE (CL)
288393254-Restricted SCPHF RE (CL)
309399454-Restricted SCPHF RE (CL)
332404453-Restricted SCPHF RE (CL)
346405452-Restricted SCPHF RE (CL)
363418254-Restricted SCPHF RE (CL)
394424454-Restricted SCPHF RE (CL)
435430654-Restricted SCPHF RE (CL)
447435653-Restricted SCPHF RE (CL)
455436652-Restricted SCPHF RE (CL)
45843685SCPHF Random Extension (CLS)
484449454-Restricted SCPHF RE (CL)
527455654-Restricted SCPHF RE (CL)
569461854-Restricted SCPHF RE (CL)
603466853-Restricted SCPHF RE (CL)
606467852-Restricted SCPHF RE (CL)
60946805SCPHF Random Extension (CLS)
647480654-Restricted SCPHF RE (CL)
672486854-Restricted SCPHF RE (CL)
721493054-Restricted SCPHF RE (CL)
72265545Add 1 factors
72373545Add 2 factors
72476045Add 3 factors
72678545Add 5 factors
72794865Add 5 factors
78498010Martirosyan-Colbourn
78898410Martirosyan-Colbourn
86899030Martirosyan-Colbourn
87099110Martirosyan-Colbourn
89499610Martirosyan-Colbourn
91099710Martirosyan-Colbourn
91499730Martirosyan-Colbourn
91699874Martirosyan-Colbourn
930101134Martirosyan-Colbourn
960102030Martirosyan-Colbourn
968102510Martirosyan-Colbourn
1004103130Martirosyan-Colbourn
1054103610Martirosyan-Colbourn
1118104230Martirosyan-Colbourn
1138104630Martirosyan-Colbourn
1206105130Martirosyan-Colbourn
1212105254Martirosyan-Colbourn
1218105274Martirosyan-Colbourn
1294106534Martirosyan-Colbourn
1302107154Martirosyan-Colbourn
1314115240Martirosyan-Colbourn
1344115320Martirosyan-Colbourn
1360115940Martirosyan-Colbourn
1400116100Martirosyan-Colbourn
1410116980Martirosyan-Colbourn
1424117006Martirosyan-Colbourn
1442117486Martirosyan-Colbourn
1444133726Martirosyan-Colbourn
1446141726Martirosyan-Colbourn
1448144226Martirosyan-Colbourn
1452146726Martirosyan-Colbourn
1454163046Martirosyan-Colbourn
1521165196Power N-CT41^2T2T2
1599166316Power N-CT41^2T2
1600166916Power N-CT43^2Arc(2)T4
1638167016Power N-CT43^2T4T1
1677167116Power N-CT43^2T4
1682167436Power N-CT41^2+1
1683167936Power N-CT43^2Arc(4)
1723168036Power N-CT43^2Arc(3)
1764168136Power N-CT43^2T1T1
1806168236Power N-CT43^2T1
1849168336Power N-CT43^2
1850168696Power N-CT43^2+1
1851179856Power N-CT43^2+2
1854181096Power N-CT47^2Trin2,3,3
1892181676Power N-CT47^2T4T3
1936181716Power N-CT47^2T3T3
1980182956Power N-CT47^2T3T2
2021183536Power N-CT47^2T4
2068183576Power N-CT47^2T3
2115184816Power N-CT47^2T2
2213185436perfect hash family9,2213,51
2235187756perfect hash family4,3125,625T178
2275187856perfect hash family4,3125,625T170
2290187876perfect hash family4,3125,625T167
2332188536Power N-CT53^2T9
2420189136perfect hash family4,3125,625T141
2503189156Power N-CT53^2Trin2,2,2
2635189756perfect hash family4,3125,625T98
2845190376perfect hash family4,3125,625T56
3015190876perfect hash family4,3125,625T22
3030190976perfect hash family4,3125,625T19
3045190996perfect hash family4,3125,625T16
3125192256perfect hash family4,3125,625
3132195716Power N-CT59^2T5T1
3186195816Power N-CT59^2T5
3196195916Power N-CT59^2Arc(5)
3251196016Power N-CT59^2Arc(4)
3307196116Power N-CT59^2Arc(3)
3364196216Power N-CT59^2T1T1
3422196316Power N-CT59^2T1
3481196416Power N-CT59^2
3538206556Power N-CT61^2T3
3599206656Power N-CT61^2T2
3722207936Power N-CT61^2+1
3886211516Power N-CT67^2T9
3953211616Power N-CT67^2T8
4154212896Power N-CT67^2T5
4489213516Power N-CT67^2
4526217856Power N-CT73^2T11
4891218476Power N-CT73^2T6
5329219096Power N-CT73^2
5344223336Power N-CT79^2Arc(6)T6
5412223456Power N-CT79^2Arc(5)T6
5426223476Power N-CT79^2Arc(9)T2
5481223576Power N-CT79^2Arc(4)T6
5566223596Power N-CT79^2Arc(9)
5637223716Power N-CT79^2Arc(8)
5709223836Power N-CT79^2Arc(7)
5782223956Power N-CT79^2Arc(6)
5856224076Power N-CT79^2Arc(5)
5931224196Power N-CT79^2Arc(4)
6007224316Power N-CT79^2Arc(3)
6084224436Power N-CT79^2T1T1
6162224556Power N-CT79^2T1
6241224676Power N-CT79^2
6474234636Power N-CT83^2T5
6557234756Power N-CT83^2T4
6890236016Power N-CT83^2+1
6942239596Power N-CT89^2T11
7031239716Power N-CT89^2T10
7056240356Power N-CT89^2T5T5
7476240976Power N-CT89^2T5
7923241596Power N-CT89^2+2
7927247176perfect hash family9,7927,95
7935248176perfect hash family9,8536,96S7
8018248676perfect hash family9,8536,96S6
8111248936Power N-CT97^2Trin2,6,6
8280249000Power CZ3-23.19-18.1-20.1
8303249107Power CZ3-23.19-19.1-19.1
8346249356perfect hash family9,11449,107T29
8464249386Power CZ3-23.20-16.1
8740249453Power CZ3-23.19-19.1-20.1
9200249799Power CZ3-23.19-20.1-20.1
9660250281Power CZ3-23.19-20.1-21.1
10000250722Power CZ3-23.19-20.1-22.1
 Graph: