Unbounded Inner Product Functional Encryption from Bilinear Maps

Junichi Tomida, Katsuyuki Takashima

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

Inner product functional encryption (IPFE), introduced by Abdalla et al. (PKC2015), is a kind of functional encryption supporting only inner product functionality. All previous IPFE schemes are bounded schemes, meaning that the vector length that can be handled in the scheme is fixed in the setup phase. In this paper, we propose the first unbounded IPFE schemes, in which we do not have to fix the lengths of vectors in the setup phase and can handle (a priori) unbounded polynomial lengths of vectors. Our first scheme is private-key based and fully function hiding. That is, secret keys hide the information of the associated function. Our second scheme is public-key based and provides adaptive security in the indistinguishability based security definition. Both our schemes are based on SXDH, which is a well-studied standard assumption, and secure in the standard model. Furthermore, our schemes are quite efficient, incurring an efficiency loss by only a small constant factor from previous bounded function hiding schemes.

Original languageEnglish
Title of host publicationAdvances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
EditorsThomas Peyrin, Steven Galbraith
PublisherSpringer Verlag
Pages609-639
Number of pages31
ISBN (Print)9783030033286
DOIs
Publication statusPublished - 2018
Externally publishedYes
Event24th Annual International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2018 - Brisbane, Australia
Duration: 2018 Dec 22018 Dec 6

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11273 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th Annual International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2018
CountryAustralia
CityBrisbane
Period18/12/218/12/6

Keywords

  • Bilinear maps
  • Function hiding
  • Functional encryption
  • Inner product
  • Unbounded

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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