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Single Database Private Information Retrieval with Logarithmic Communication

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Information Security and Privacy (ACISP 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3108))

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Abstract

We study the problem of single database private information retrieval, and present a solution with only logarithmic server-side communication complexity and a solution with only logarithmic user-side communication complexity. Previously the best result could only achieve polylogarithmic communication on each side, and was based on certain less well-studied assumptions in number theory [6]. On the contrary, our schemes are based on Paillier’s cryptosystem [16], which along with its variants have drawn extensive studies in recent cryptographic researches [3, 4, 8, 9], and have many important applications [7, 8].

In fact, our schemes directly yield implementations for 1-out-of-N ℓ-bit string oblivious transfer with O(ℓ) sender-side communication (against semi-honest receivers and malicious senders). Note the sender-side communication complexity is independent of N, the constant hidden in the big-O notation is quite small, and ℓ is unrestricted. Moreover, we show a way to do communication balancing between the sender-side and the receiver-side, and show how to handle malicious receivers with small communication overheads.

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Author information

Authors and Affiliations

  1. Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA

    Yan-Cheng Chang

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  1. Yan-Cheng Chang
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Editor information

Editors and Affiliations

  1. Centre for Advanced Computing - Algorithms and Cryptography Department of Computing, Macquarie University, Australia

    Huaxiong Wang

  2. Department of Computing, Macquarie University, NSW 2109, Sydney, Australia

    Josef Pieprzyk

  3. Macquarie University, Sydney, Australia

    Vijay Varadharajan

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Chang, YC. (2004). Single Database Private Information Retrieval with Logarithmic Communication. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds) Information Security and Privacy. ACISP 2004. Lecture Notes in Computer Science, vol 3108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27800-9_5

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  • DOI: https://doi.org/10.1007/978-3-540-27800-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22379-5

  • Online ISBN: 978-3-540-27800-9

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