On the Bringer-Chabanne EPIR protocol for polynomial evaluation

Yeow Meng Chee*, Huaxiong Wang, Liang Feng Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Extended private information retrieval (EPIR) was defined by Bringer, Chabanne, Pointcheval and Tang at CANS 2007 and generalized by Bringer and Chabanne at AFRICACRYPT 2009. In the generalized setting, EPIR allows a user to evaluate a function on a database block such that the database can learn neither which function has been evaluated nor on which block the function has been evaluated and the user learns no more information on the database blocks except for the expected result. An EPIR protocol for evaluating polynomials over a finite field L was proposed by Bringer and Chabanne in [Lecture Notes in Comput. Sci. 5580, Springer (2009), 305-322]. We show that the protocol does not satisfy the correctness requirement as they have claimed. In particular, we show that it does not give the user the expected result with large probability if one of the coefficients of the polynomial to be evaluated is primitive in L and the others belong to the prime subfield of L.

Original languageEnglish
Pages (from-to)277-301
Number of pages25
JournalJournal of Mathematical Cryptology
Volume5
Issue number3-4
DOIs
Publication statusPublished - Feb 2012

Keywords

  • Correctness
  • Extended private information retrieval

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