Table for CAN(5,k,20) 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,20) 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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63200000Derive from strength 6
73542088Augment OA
83724074Augment OA
93912858Augment OA
104107924Augment OA
114308646Augment OA
124514148Augment OA
134723668Augment OA
144935798Augment OA
155150374Augment OA
165365126Augment OA
175578956Augment OA
185789958Augment OA
195996736Augment OA
206197616Augment OA
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66064346323Add 1 factors
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71382054415Add 1 factors
71489753215Add 2 factors
71592793215Add 3 factors
71696389004Add 4 factors
71796701687Add 5 factors
722109692923Add 23 factors
724109704561Add 23 factors
725109731199Add 23 factors
726109742837Add 23 factors
732109894131Add 23 factors
735109894731Add 23 factors
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1041115837246Martirosyan-TVT variant
1057116372440Martirosyan-TVT variant
1067117045529Martirosyan-TVT variant
1105117324463Martirosyan-TVT variant
1107124000249Martirosyan-TVT variant
1196127014051perfect hash family20,2116,23T10
1288127226181perfect hash family20,2116,23T9
1380127440757perfect hash family20,2116,23T8
1472127655509perfect hash family20,2116,23T7
1564127869339perfect hash family20,2116,23T6
1656128080341perfect hash family20,2116,23T5
1748128287119perfect hash family20,2116,23T4
1840128487999perfect hash family20,2116,23T3
2116128726417perfect hash family20,2116,23,c fuse fuse fuse
2117128726720perfect hash family20,2117,24
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2366130237179Power CT23^3T10T10T9
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2940130876015Power CT23^3T9T9T8
2964131088597Power CT23^3T11T10T4
3150131090591Power CT23^3T9T8T8
3211131298117Power CT23^3T10T10T4
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3528131515599Power CT23^3T9T9T5
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3780131730175Power CT23^3T9T8T5
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3887131737718Power CT23^3T10T10
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4096131949423Power CT23^3T7T7T7
4186131949848Power CT23^3T10T9
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5175132591130Power CT23^3T8T8
5184132799087Power CT23^3T7T5T5
5244132801266Power CT23^3T11T4
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5474132805136Power CT23^3T9T6
5520132805882Power CT23^3T8T7
5681133010786Power CT23^3T10T4
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6555133437492Power CT23^3T8T4
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6877133450387Power CT23^3T10
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7935133877093Power CT23^3T8
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9522134516677Power CT23^3T5
10000134723455Power CT23^3T4