Table for CAN(2,k,18) for k up to 20000

Last Updated Sat Feb 22 09:21:55 MST 2014

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;2,k,18) 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
7324orthogonal array
8352orthogonal array fuse postop NCK
9353orthogonal array fuse postop NCK
10354orthogonal array fuse postop NCK
12355orthogonal array fuse postop TJ-SA
16356orthogonal array fuse postop TJ-SA
17357orthogonal array fuse postop NCK
20358orthogonal array fuse
21360projection (C)
22442simulated annealing (Torres-Jimenez)
23482projection (C) postop NCK
24483projection (C) postop NCK
25489projection (C) postop NCK
26490projection (C) postop NCK
27491projection (C) postop NCK
28494projection (C) postop NCK
29496projection (C) postop NCK
32545Fix 1 symbols (LCDST)
33558projection (C) postop NCK
34579Fix 1 symbols (Colbourn)
40592Fix 4 symbols (LCDST)
42595Fix 5 symbols (LCDST)
44603Fix 6 symbols (LCDST)
45615Fix 6 symbols (LCDST)
46627Fix 6 symbols (LCDST)
49630Direct product
50647simulated annealing (Torres-Jimenez)
120648Direct product
140650Direct product generalized
147666Direct product
161669Direct product generalized
163676Direct product generalized
164678Direct product generalized
240679Direct product
245680Direct product generalized
342681Direct product generalized
385682simulated annealing (Torres-Jimenez)
401683Direct product generalized
421684Direct product generalized
440701Direct product generalized
441702Direct product
442749Direct product generalized
458754Direct product generalized
481755Direct product generalized
504756Direct product generalized
511773Direct product generalized
525774Direct product generalized
533788Direct product generalized
542789Direct product generalized
545790Direct product generalized
546791Direct product generalized
558804Direct product generalized
566805Direct product generalized
567806Direct product generalized
574819Direct product generalized
584820Direct product generalized
587821Direct product generalized
588822Direct product generalized
589835Direct product generalized
591836Direct product generalized
608837Direct product generalized
609838Direct product
611851Direct product generalized
616854Direct product generalized
625855Direct product generalized
628856Direct product generalized
629857Direct product generalized
630858Direct product generalized
633867Direct product generalized
643868Direct product generalized
648869Direct product generalized
651870Direct product generalized
660882Direct product
664883Direct product generalized
670884Direct product generalized
672885Direct product generalized
673890Direct product generalized
696892Direct product generalized
703908Direct product generalized
711909Direct product generalized
725910Direct product generalized
731922Direct product generalized
740923Direct product generalized
745924Direct product generalized
751925Direct product generalized
753926Direct product generalized
754927Direct product generalized
800932Direct product
840934Direct product
882937Direct product
924945Direct product
962954Direct product generalized
1017957Direct product generalized
1020958Direct product generalized
1028960Direct product generalized
1046969Direct product generalized
1047971Direct product generalized
2394972Direct product generalized
2793974Direct product generalized
2807989Direct product
2947990PCAx2PCA
3159993Direct product generalized
3213994Direct product generalized
32231000Direct product generalized
32961002Direct product generalized
47881003Direct product generalized
48801004Direct product generalized
68261005Direct product generalized
77141006Direct product generalized
80021007Direct product generalized
84201008Direct product
84391024Direct product generalized
88571025Direct product generalized
89011026Direct product generalized
92231042Direct product generalized
92601043Direct product generalized
92611044Direct product
92761060Direct product generalized
93241062Direct product generalized
95761077Direct product generalized
95981079Direct product generalized
101041080Direct product generalized
101231092Direct product generalized
101241093Direct product generalized
105611097Direct product generalized
106681098Direct product generalized
107421112Direct product generalized
109451113Direct product generalized
110041114Direct product generalized
110531115Direct product generalized
111091116Direct product generalized
111251125Direct product generalized
111261126Direct product generalized
111641127Direct product generalized
112421128Direct product generalized
113841129Direct product generalized
114261130Direct product generalized
114441131Direct product generalized
114871132Direct product generalized
115501133Direct product generalized
115661141Direct product generalized
116051142Direct product generalized
116831143Direct product generalized
117251144Direct product generalized
117841145Direct product generalized
118801146Direct product generalized
119281147Direct product generalized
119911148Direct product generalized
120961152Direct product generalized
121631159Direct product generalized
121681160Direct product generalized
122821161Direct product generalized
123261162Direct product generalized
123751163Direct product generalized
124321164Direct product generalized
126631170Direct product generalized
127521178Direct product generalized
128131179Direct product generalized
128311180Direct product generalized
128731182Direct product generalized
130301185Direct product generalized
131401186Direct product generalized
131881187Direct product generalized
131951188Direct product generalized
132091189Direct product generalized
132161191Direct product generalized
132301192Direct product generalized
132511195Direct product generalized
132651196Direct product generalized
133001197Direct product generalized
133141198Direct product generalized
133281199Direct product generalized
134261200Direct product generalized
135881201Direct product generalized
136571202Direct product generalized
136851203Direct product generalized
137201204Direct product generalized
137341205Direct product generalized
137551206Direct product generalized
137621207Direct product generalized
137761208Direct product generalized
137971210Direct product generalized
138251213Direct product generalized
138461214Direct product generalized
139021215Direct product generalized
139681216Direct product generalized
141121217Direct product generalized
141331218Direct product generalized
142031219Direct product generalized
142381220Direct product generalized
142801221Direct product generalized
143011222Direct product generalized
143281224Direct product generalized
143431225Direct product generalized
143641228Direct product generalized
143971229Direct product generalized
144181230Direct product generalized
144481231Direct product generalized
145111232Direct product generalized
145931233Direct product generalized
146581234Direct product generalized
147691235Direct product generalized
148111236Direct product generalized
148681237Direct product generalized
148891239Direct product generalized
149101240Direct product generalized
149161242Direct product generalized
149521244Direct product generalized
150041246Direct product generalized
150311247Direct product generalized
150801248Direct product generalized
151881249Direct product generalized
152471250Direct product generalized
153691251Direct product generalized
154401252Direct product generalized
154821253Direct product generalized
159601256Direct product generalized
168401258PCAxPCA
168421260Direct product generalized
176821261PCAxPCA
185241269PCAxPCA
192221278Direct product generalized
200001279Direct product generalized
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