Table for CAN(3,k,3) for k up to 10000

Last Updated Sat Nov 14 06:41:39 MST 2009

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;3,k,3) 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
427orthogonal array
633Chateauneuf-Kreher NRB
740Constraint (Hnich et al.)
842cross-sum (CKRS)
1245cross-sum (CKRS)
1451cross-sum (CKRS)
1557cross-sum (CKRS)
2060Cyclotomy (Colbourn)
2475Chateauneuf-Kreher doubling
2881Chateauneuf-Kreher doubling
3087Chateauneuf-Kreher doubling
4090Chateauneuf-Kreher doubling
4299Colbourn-Martirosyan-Trung-Walker
45105Colbourn-Martirosyan-Trung-Walker
60108Colbourn-Martirosyan-Trung-Walker
63125Colbourn-Martirosyan-Trung-Walker
72127Colbourn-Martirosyan-Trung-Walker
76128Chateauneuf-Kreher doubling
80130Chateauneuf-Kreher doubling
84135Colbourn-Martirosyan-Trung-Walker
90141Colbourn-Martirosyan-Trung-Walker
93144Colbourn-Martirosyan-Trung-Walker
114146Colbourn-Martirosyan-Trung-Walker
120148Colbourn-Martirosyan-Trung-Walker
126156Cohen-Colbourn-Ling
140160Cohen-Colbourn-Ling
160162Cohen-Colbourn-Ling
180165Cohen-Colbourn-Ling
181183Add a factor
189184Cohen-Colbourn-Ling
192185Cohen-Colbourn-Ling
216187Colbourn-Martirosyan-Trung-Walker
222188Colbourn-Martirosyan-Trung-Walker
228192Colbourn-Martirosyan-Trung-Walker
240194Colbourn-Martirosyan-Trung-Walker
252198Cohen-Colbourn-Ling
280201Cohen-Colbourn-Ling
300207Cohen-Colbourn-Ling
304208Cohen-Colbourn-Ling
400210Cohen-Colbourn-Ling
480225Cohen-Colbourn-Ling
540231Cohen-Colbourn-Ling
549242IPOG-F (NIST)
726243Power N11^3,cT5c
847250Power N11^3,cT4
968252Power N11^3,cT3c
1332255Power N11^3,+1c
1333273Add a factor
1348287IPOG-F (NIST)
1393288IPOG-F (NIST)
1395289IPOG-F (NIST)
1433290IPOG-F (NIST)
1471291IPOG-F (NIST)
1475292IPOG-F (NIST)
1502293IPOG-F (NIST)
1548294IPOG-F (NIST)
1566295IPOG-F (NIST)
1592296IPOG-F (NIST)
1637297IPOG-F (NIST)
1660298IPOG-F (NIST)
1690299IPOG-F (NIST)
1727300IPOG-F (NIST)
1778301IPOG-F (NIST)
1830302IPOG-F (NIST)
1866303IPOG-F (NIST)
1918304IPOG-F (NIST)
1926305IPOG-F (NIST)
1973306IPOG-F (NIST)
2000307IPOG-F (NIST)
2736315Power N19^3,cT7T7
3192321Power N19^3,cT7T5
3724327Power N19^3,cT5T5
4332330Power N19^3,cT7c
5054336Power N19^3,cT5c
5415342Power N19^3,cT4c
6860345Power N19^3,+1c
6861363Add a factor
6862381Add a factor
6863399Add a factor
7448403Chateauneuf-Kreher doubling
7532406Chateauneuf-Kreher doubling
8208407Colbourn-Martirosyan-Trung-Walker
8664408Chateauneuf-Kreher doubling
9200410Power N23^3T3T3c
10000413Power N19^4Tlev
 Graph: