Abstract
Order-preserving encryption (OPE) is a deterministic encryption scheme whose encryption function preserves numerical ordering of the plaintexts. While the concept of OPE was introduced in 2004, the first provably-secure OPE scheme was constructed by Boldyreva, Chenette, Lee, and O’Neill at Eurocrypt 2009. The BCLO scheme uses a sampling algorithm for the hypergeometric distribution as a subroutine and maps the Euclidean middle range gap to a domain gap. We study how to utilize the (non-uniform) distribution of the plaintext-space to reduce the number of sampling algorithm invocations in the BCLO scheme. Instead of the Euclidean middle range gap, we map the probabilistic middle range gap to a domain gap. Our simulation shows that the proposed method is effective for various distributions and especially for distributions with small variance.
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Yum, D.H., Kim, D.S., Kim, J.S., Lee, P.J., Hong, S.J. (2012). Order-Preserving Encryption for Non-uniformly Distributed Plaintexts. In: Jung, S., Yung, M. (eds) Information Security Applications. WISA 2011. Lecture Notes in Computer Science, vol 7115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27890-7_7
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DOI: https://doi.org/10.1007/978-3-642-27890-7_7
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