Table for CAN(5,k,5) 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,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)
136245SCPHF Sim Annealing (TJ-IM)
1687454-Restricted SCPHF RE (CL)
1793452-Restricted SCPHF RE (CL)
189365SCPHF Sim Annealing (TJ-IM)
21112454,4-Restricted SCPHF RE (CL)
22122453,3-Restricted SCPHF RE (CL)
23123653-Restricted SCPHF RE (CL)
2512485SCPHF Sim Annealing (TJ-IM)
28143654,4-Restricted SCPHF RE (CL)
30149654,2-restricted SCPHF RE (CL)
31154653,2-restricted SCPHF RE (CL)
32154853-Restricted SCPHF RE (CL)
3315605SCPHF Sim Annealing (TJ-IM)
35168654,4,4-Restricted SCPHF RE (CL)
39174854,4-Restricted SCPHF RE (CL)
42181054-Restricted SCPHF RE (CL)
44187052-Restricted SCPHF RE (CL)
4518725SCPHF Sim Annealing (TJ-IM)
4718745CPHF Sim Annealing (TJ-IM)
51206054,4-Restricted SCPHF RE (CL)
52211054,3-restricted SCPHF RE (CL)
54212254-Restricted SCPHF RE (CL)
55216053,3-Restricted SCPHF RE (CL)
57217053,2-restricted SCPHF RE (CL)
58217253-Restricted SCPHF RE (CL)
59218252-Restricted SCPHF RE (CL)
6121869CPHF Sim Annealing (TJ-IM)
62231054,4,4-Restricted SCPHF RE (CL)
67237254,4-Restricted SCPHF RE (CL)
68242254,3-restricted SCPHF RE (CL)
70243254,2-restricted SCPHF RE (CL)
73243454-Restricted SCPHF RE (CL)
75247253,3-Restricted SCPHF RE (CL)
76248253,2-restricted SCPHF RE (CL)
78248453-Restricted SCPHF RE (CL)
79249252,2-Restricted SCPHF RE (CL)
81249452-Restricted SCPHF RE (CL)
84262254,4,4-Restricted SCPHF RE (CL)
91268454,4-Restricted SCPHF RE (CL)
93273454,3-restricted SCPHF RE (CL)
95274654-Restricted SCPHF RE (CL)
103278453,3-Restricted SCPHF RE (CL)
106279453,2-restricted SCPHF RE (CL)
107280652-Restricted SCPHF RE (CL)
110293454,4,4-Restricted SCPHF RE (CL)
117299654,4-Restricted SCPHF RE (CL)
126304654,3-restricted SCPHF RE (CL)
128305654,2-restricted SCPHF RE (CL)
131305854-Restricted SCPHF RE (CL)
138309653,3-Restricted SCPHF RE (CL)
139310653,2-restricted SCPHF RE (CL)
141311652,2-Restricted SCPHF RE (CL)
142311852-Restricted SCPHF RE (CL)
14331241CPHF Random Extension (CLS)
152324654,4,4-Restricted SCPHF RE (CL)
162330854,4-Restricted SCPHF RE (CL)
171335854,3-restricted SCPHF RE (CL)
174336854,2-restricted SCPHF RE (CL)
175337054-Restricted SCPHF RE (CL)
187340853,3-Restricted SCPHF RE (CL)
191341853,2-restricted SCPHF RE (CL)
196342852,2-Restricted SCPHF RE (CL)
200355854,4,4-Restricted SCPHF RE (CL)
220362054,4-Restricted SCPHF RE (CL)
239367054,3-restricted SCPHF RE (CL)
242368054,2-restricted SCPHF RE (CL)
255372053,3-Restricted SCPHF RE (CL)
261373053,2-restricted SCPHF RE (CL)
266374052,2-Restricted SCPHF RE (CL)
288393254,4-Restricted SCPHF RE (CL)
301398254,3-restricted SCPHF RE (CL)
305399254,2-restricted SCPHF RE (CL)
309399454-Restricted SCPHF RE (CL)
325403253,3-Restricted SCPHF RE (CL)
326404253,2-restricted SCPHF RE (CL)
332404453-Restricted SCPHF RE (CL)
340405252,2-Restricted SCPHF RE (CL)
346405452-Restricted SCPHF RE (CL)
363418254,4,4-Restricted SCPHF RE (CL)
394424454,4-Restricted SCPHF RE (CL)
435430654-Restricted SCPHF RE (CL)
447435653-Restricted SCPHF RE (CL)
455436652-Restricted SCPHF RE (CL)
45843685SCPHF Random Extension (CLS)
484449454,4,4-Restricted SCPHF RE (CL)
527455654,4-Restricted SCPHF RE (CL)
569461854-Restricted SCPHF RE (CL)
603466853-Restricted SCPHF RE (CL)
606467852-Restricted SCPHF RE (CL)
60946805SCPHF Random Extension (CLS)
647480654,4,4-Restricted SCPHF RE (CL)
672486854,4-Restricted SCPHF RE (CL)
721493054-Restricted SCPHF RE (CL)
779498053-Restricted SCPHF RE (CL)
78066605Add 1 factors
78174905Add 2 factors
78277405Add 3 factors
78479905Add 5 factors
78596705Add 5 factors
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
1502117986Martirosyan-Colbourn
1514118466Martirosyan-Colbourn
1558127846Martirosyan-Colbourn
1560144646Martirosyan-Colbourn
1562152946Martirosyan-Colbourn
1564155446Martirosyan-Colbourn
1568157946Martirosyan-Colbourn
1599162316Power N-CT41^2T2
1682162936Power N-CT41^2+1
1683165936Power N-CT43^2Arc(4)
1723166536Power N-CT43^2Arc(3)
1764167136Power N-CT43^2T1T1
1833167436Power N-CT47^2T8
1848168016Power N-CT47^2T5T3
1890168036Power N-CT47^2T5T2
1974168056Power N-CT47^2T5
1980168636Power N-CT47^2T3T2
2068168656Power N-CT47^2T3
2115168676Power N-CT47^2T2
2209168696Power N-CT47^2
2213185436perfect hash family9,2213,51
2307187296Power N-CT53^2Trin2,2,6
2352187796Power N-CT53^2Trin1,2,6
2397187916Power N-CT53^2T6T2
2398188296Power N-CT53^2Arc(2)T6
2444188416Power N-CT53^2T6T1
2491188536Power N-CT53^2T6
2503189156Power N-CT53^2Trin2,2,2
2552189656Power N-CT53^2Trin1,2,2
2635189756perfect hash family4,3125,625T98
2652190276Power N-CT53^2T2T1
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
3538196668Power N-CT61^2T3
3599196768Power N-CT61^2T2
3721196812Power N-CT61^2
3722207936Power N-CT61^2+1
3782211040Power N-CT67^2T6T5
3819211496Power N-CT67^2T10
3886211516Power N-CT67^2T9
3953211616Power N-CT67^2T8
4087211660Power N-CT67^2T6
4154212896Power N-CT67^2T5
4489213516Power N-CT67^2
4526217856Power N-CT73^2T11
4556218356Power N-CT71^2T4T3
4559218416Power N-CT71^2Arc(3)T4
4624218436Power N-CT71^2Arc(2)T4
4690218456Power N-CT71^2T4T1
4891218476Power N-CT73^2T6
4964218976Power N-CT73^2T5
5110219076Power N-CT73^2T3
5329219096Power N-CT73^2
5331222516Power N-CT73^2+2
5344223256Power N-CT79^2Arc(6)T6
5412223336Power N-CT79^2Arc(5)T6
5481223416Power N-CT79^2Arc(4)T6
5551223496Power N-CT79^2Arc(3)T6
5622223576Power N-CT79^2Arc(2)T6
5694223656Power N-CT79^2T6T1
5767223736Power N-CT79^2T6
5782223836Power N-CT79^2Arc(6)
5856223916Power N-CT79^2Arc(5)
5931223996Power N-CT79^2Arc(4)
6007224076Power N-CT79^2Arc(3)
6084224156Power N-CT79^2T1T1
6162224236Power N-CT79^2T1
6241224316Power N-CT79^2
6243224496Power N-CT79^2+2
6245232156Power N-CT83^2Trin2,2,4
6403232176Power N-CT83^2Trin2,2,2
6561233456Power N-CT83^2T2T2
6723234736Power N-CT83^2T2
6890236016Power N-CT83^2+1
6942239596Power N-CT89^2T11
7031239676Power N-CT89^2T10
7209239696Power N-CT89^2T8
7476240976Power N-CT89^2T5
7923241596Power N-CT89^2+2
7925246096perfect hash family9,7925,93
7927247176perfect hash family9,7927,95
8034247596perfect hash family9,10609,103T25
8137247676perfect hash family9,10609,103T24
8343247696perfect hash family9,10609,103T22
8467248836Power N-CT97^2Trin2,2,6
8652248976perfect hash family9,10609,103T19
8653249336Power N-CT97^2Trin2,2,4
8740249453Power CZ3-23.19-19.1-20.1
8839249456Power N-CT97^2Trin2,2,2
9373249596perfect hash family9,10609,103T12
9579250096perfect hash family9,10609,103T10
9785250216perfect hash family9,10609,103T8
10000250596Power N-CT101^2
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