Table for CAN(3,k,4) for k up to 10000

Last Updated Wed Sep 11 13:08:18 MST 2013

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,4) 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
664orthogonal array
888Chateauneuf-Kreher NRB
10112Chateauneuf-Kreher doubling
12121Chateauneuf-Kreher doubling
16124Sherwood-Martirosyan-Colbourn
21127Raaphorst-Moura-Stevens
38152Cyclotomy (Colbourn)
39200Add a factor
42211Chateauneuf-Kreher doubling
54212Cyclotomy (Colbourn)
60242Chateauneuf-Kreher doubling
64244Sherwood-Martirosyan-Colbourn
70245Chateauneuf-Kreher doubling
76248Chateauneuf-Kreher doubling
84259Colbourn-Martirosyan-Trung-Walker
89270Cyclotomy shift (Colbourn)
96284Cohen-Colbourn-Ling
108287Colbourn-Martirosyan-Trung-Walker
120290Colbourn-Martirosyan-Trung-Walker
140293Colbourn-Martirosyan-Trung-Walker
152296Colbourn-Martirosyan-Trung-Walker
190328Cohen-Colbourn-Ling
192344Cohen-Colbourn-Ling
228356Cohen-Colbourn-Ling
232375Cohen-Colbourn-Ling
304380Cohen-Colbourn-Ling
336395Cohen-Colbourn-Ling
352420Cohen-Colbourn-Ling
441422Cohen-Colbourn-Ling
464438Cohen-Colbourn-Ling
608444Cohen-Colbourn-Ling
609468Cohen-Colbourn-Ling
672471Cohen-Colbourn-Ling
798475Cohen-Colbourn-Ling
988500Cohen-Colbourn-Ling
1216528Cohen-Colbourn-Ling
1444556Cohen-Colbourn-Ling
1446567Power CZ3-17.2-16.3-6.1
1712580Power CZ3-17.0-16.5-8.1
1816585Power CZ3-17.1-16.4-8.1
1928591Power CZ3-17.2-16.3-8.1
2140604Power CZ3-17.0-16.5-10.1
2270609Power CZ3-17.1-16.4-10.1
2568613Power CZ3-17.0-16.5-12.1
3424616Power CZ3-17.0-16.6
3632619Power CZ3-17.1-16.5
3856624Power CZ3-17.2-16.4
4096630Power CZ3-17.3-16.3
4864646Power CZ3-19.4-16.1-16.1
5776662Power CZ3-19.5-16.1
6860678Power CZ3-20.6
6861720Power CZ3-21.6
7728735Power CZ3-23.4-16.1-21.1
10000742Power CZ3-23.4-21.1-21.1
 Graph: