Table for CAN(4,k,2) for k up to 10000

Last Updated Sun Nov 19 06:55:36 MST 2017

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;4,k,2) 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
516Derive from strength 5
621Derive from strength 5
1224Cyclotomy (Colbourn)
1332Derive from strength 5
1735simulated annealing (TJ-RT)
1836simulated annealing (TJ-RT)
2039Hadamard (Colbourn-Keri) postop NCK
2142Cyclic (Colbourn-Keri)
2244Cyclic (Colbourn-Keri)
2446Cyclotomy (Colbourn)
2550Cyclic (Colbourn-Keri)
2651simulated annealing (TJ-RT)
2853simulated annealing (TJ-RT)
3056simulated annealing (TJ-RT)
3258simulated annealing (TJ-RT)
3361simulated annealing (TJ-RT)
3463SBSTT (TJ-AG)
3564simulated annealing (TJ-RT)
3765simulated annealing (TJ-RT)
3866simulated annealing (TJ-RT)
6767Cyclotomy (Colbourn)
7171Cyclotomy (Colbourn)
7278SBSTT (TJ-AG)
7979Derive from strength 5
8383Cyclotomy (Colbourn)
8987Cyclotomy (Colbourn) postop NCK
9092SBSTT (TJ-AG)
9794SBSTT (TJ-AG)
10198SBSTT (TJ-AG)
107102SBSTT (TJ-AG)
109105SBSTT (TJ-AG)
111106SBSTT (TJ-AG)
113107SBSTT (TJ-AG)
114109SBSTT (TJ-AG)
120110Power CZ2-12.4-10.1
144112Power CT12^2,c
145119SBSTT (TJ-AG)
146122SBSTT (TJ-AG)
149125SBSTT (TJ-AG)
151126SBSTT (TJ-AG)
155127SBSTT (TJ-AG)
157128SBSTT (TJ-AG)
160129SBSTT (TJ-AG)
165130SBSTT (TJ-AG)
169131SBSTT (TJ-AG)
172134SBSTT (TJ-AG)
173135SBSTT (TJ-AG)
179142SBSTT (TJ-AG)
189143SBSTT (TJ-AG)
192144SBSTT (TJ-AG)
196145SBSTT (TJ-AG)
208154SBSTT (TJ-AG)
213156SBSTT (TJ-AG)
217157SBSTT (TJ-AG)
222158SBSTT (TJ-AG)
256160Power CZ2-16.5
268161SBSTT (TJ-AG)
272162Power CZ2-17.4-16.1
289165SBSTT (TJ-AG)
296167SBSTT (TJ-AG)
324168SBSTT (TJ-AG)
338173Torres-Jimenez
354174Torres-Jimenez
405176Power CZ3-9.8-5.1
486180Power CZ3-9.8-6.1
729184Power CZ3-9.9
792188Power CZ3-11.7-8.1-9.1
880190Power CZ3-11.7-8.1-10.1
968192Power CZ3-11.8-8.1
990194Power CZ3-11.7-9.1-10.1
1100196Power CZ3-11.7-10.1-10.1
1210198Power CZ3-11.8-10.1
1332200Power CT11^3,+1c
1368216Power CZ3-13.3-12.6
1476224Power CZ3-13.4-12.5
1596233Power CZ3-13.5-12.4
1728242Power CZ3-13.6-12.3
1872251Power CZ3-13.7-12.1-12.1
2028260Power CZ3-13.8-12.1
2304263Power CZ3-16.7-12.1-12.1
2496271Power CZ3-16.7-12.1-13.1
3395272Power CZ4-13.0-12.12-4.1
4248276Power CZ4-13.0-12.12-5.1
6781280Power CZ4-13.0-12.12-8.1
7625284Power CZ4-13.0-12.12-9.1
8466286Power CZ4-13.0-12.12-10.1
10000288Power CT13^4S13c
 Graph: