Table for CAN(2,k,8) 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,8) 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
964Derive from strength 3
1076simulated annealing (Torres-Jimenez)
1178Fix 1 symbols (Meagher-Stevens)
1384Fix 2 symbols (LCDST) postop TJ-SA
1596Fix 2 symbols (LCDST) postop NCK
16102Fix 2 symbols (LCDST) postop NCK
18104Fix 3 symbols (LCDST) postop TJ-SA
19107Fix 3 symbols (LCDST) postop TJ-SA
20108Fix 3 symbols (LCDST) postop TJ-SA
22112simulated annealing (Torres-Jimenez)
24113simulated annealing (Torres-Jimenez)
26114simulated annealing (Torres-Jimenez)
28115simulated annealing (Torres-Jimenez)
30119simulated annealing (Torres-Jimenez)
80120PCAx2PCA
81126Direct product
89132PCAx2PCA
90133PCAx2PCA
98134PCAx2PCA
99135PCAx2PCA
113140simulated annealing (Torres-Jimenez)
115143PCAx2PCA
117144PCAx2PCA
121148simulated annealing (Torres-Jimenez)
123151Direct product generalized
131152PCAx2PCA
138154PCAxPCA
143155PCAxPCA
154160PCAx2PCA
156161PCAx2PCA
163163PCAx2PCA
170164PCAx2PCA
173165PCAx2PCA
174166PCAx2PCA
175167PCAx2PCA
197168PCAx2PCA
216169Direct product
233170PCAx2PCA
251171PCAx2PCA postop TJ-SA
252174Direct product
270175Direct product
712176PCAx2PCA
720182PCAx2PCA
730184Direct product
740185simulated annealing (Torres-Jimenez)
792188PCAx2PCA
801189PCAx2PCA
882190Direct product
891192Direct product
1008196PCAx2PCA
1024199PCAx2PCA
1040200Direct product
1078204Direct product
1113206Direct product generalized
1121207Direct product generalized
1168208PCAx2PCA
1274210Direct product
1287212Direct product
1424216PCAxPCA
1433217PCAxPCA
1456219PCAx2PCA
1520220PCAx2PCA
1544221PCAx2PCA
1552222PCAx2PCA
1560223PCAx2PCA
1752224PCAx2PCA
1920225Direct product
2072226PCAx2PCA
2242227PCAx2PCA
2258229PCAx2PCA
2430231PCAx2PCA
6344232PCAx2PCA
6408238PCAx2PCA
6588240simulated annealing (Torres-Jimenez)
6612241PCAx2PCA
7056244PCAxPCA
7128245PCAx2PCA
7840246Direct product
7938248PCAx2PCA
9000252PCAxPCA postop TJ-SA
9128255PCAxPCA
9256256Direct product
9604260Direct product
9702261Direct product
9919262PCAx2PCA
9991263PCAx2PCA
10424264PCAxPCA
11074266Direct product
11088267Direct product
11440268Direct product
11466270Direct product
12688272PCAxPCA
13016275PCAxPCA
13600276PCAxPCA
13792277PCAxPCA
13856278PCAxPCA
13920279PCAxPCA
15600280PCAxPCA
17088281Direct product
18448282PCAxPCA
20000283PCAx2PCA
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