We design and implement an efficient, secure, homomorphic k-Nearest Neighbours determination algorithm, to be used for regression or classification over private data. Our algorithm runs in quadratic complexity with regard to the size of the database but is the only one in the literature to make the secure determination completely non-interactively. We show that our secure algorithm is both efficient and accurate when applied to classification problems requiring a small set of model vectors, and still scales to larger sets of model vectors with high accuracy yet at greater (sequential) computational costs.

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kallikrein. In a series of esters, rV-benzoyl-L-arginine ethyl (or methyl) ester proved to be the best substrate (pH 8.0). N-a-Carbobenzoxy-L-lysine benzyl ester is hydrolyzed at nearly a comparable rate. Hydrolysis of A'-a-carbobenzoxy-L-lysine methyl ester was, however, much slower, that of A'-a-benzoyllysine methyl ester being nearly negligible. These results show 3098 BIOCHEMISTRY, VOL.

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