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Security of Stateful Order-Preserving Encryption

  • Kee Sung Kim
  • Minkyu Kim
  • Dongsoo Lee
  • Je Hong Park
  • Woo-Hwan Kim
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10779)

Abstract

Most of the proposed order-preserving encryption (OPE) schemes in the early stage of development including the first provably secure one are stateless and work efficiently, but guarantee only weak security. Additionally, subsequent works have shown that an ideal security notion IND-OCPA can be achieved using statefulness, ciphertexts mutability, and interactivity between client and server. Though such properties hinder availability of IND-OCPA secure OPE schemes, the only definitively known result is the impossibility of constructing a feasible IND-OCPA secure OPE scheme without ciphertext mutability. In this work, we study the security that can be fulfilled by only statefulness, from a viewpoint different from the existing research. We first consider a new security notion, called \(\delta \)-IND-OCPA, which is a natural relaxation of IND-OCPA. In comparison to IND-OCPA in which ciphertexts reveal no additional information beyond the order of the plaintexts, our notion can quantify the rate of plaintext bits that are leaked. To show achievability of our notion, we construct a new \(\delta \)-IND-OCPA secure OPE scheme. The proposed scheme is stateful and non-interactive, but does not require ciphertext mutation. Through several experiments, we show that our construction is also feasible and that has an advantage in the correlation analysis compared with the IND-OCPA secure scheme.

Keywords

Order-preserving encryption Outsourced database Cloud computing 

Notes

Acknowledgement

This work was supported by Institute for Information & communications Technology Promotion (IITP) grant funded by the Korean government (MSIT) (No. R0101-16-0301).

Supplementary material

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Kee Sung Kim
    • 1
  • Minkyu Kim
    • 1
  • Dongsoo Lee
    • 1
  • Je Hong Park
    • 1
  • Woo-Hwan Kim
    • 1
  1. 1.National Security Research InstituteDaejeonSouth Korea

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