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New Assumptions on Isogenous Pairing Groups with Applications to Attribute-Based Encryption

  • Takeshi Koshiba
  • Katsuyuki TakashimaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11396)

Abstract

We introduce new isogeny-related assumptions called Isog-DDH and Isog-DBDH assumptions. By using the assumptions, we reinforce security of several existing (hierarchical) identity-/attribute-based encryption (HIBE/ABE) schemes. While the existing schemes are proven from the standard DBDH assumption, our reinforced secure ones have two incomparable security proofs: one is proven from the DBDH as well and another is proven from the Isog-DDH assumption which is incomparable with DBDH. As a result, if either DBDH or Isog-DDH assumption holds, the proposed HIBE/ABE schemes are secure. For obtaining our (H)IBE secure in the standard model, we assign a unique (product) group called ID-group to each (H)ID, and introduce a new proof technique, i.e., ID-group partitioning by using isogenies as trapdoors.

Keywords

Isogenous pairing groups Identity-based encryption Attribute-based encryption Security reinforcement 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Waseda UniversityTokyoJapan
  2. 2.Mitsubishi ElectricKanagawaJapan

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