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On Resolving Key Escrow Problem in HIBE and HIBS

초록

영어

In traditional hierarchical identity based cryptosystems (HIBC), non-leaf entities as level PKGs are usually capable of deriving private keys for their descendants with use of their private keys, non-leaf entities can therefore act (decrypt or sign) on the behalf of their arbitrary descendants. This is called key escrow problem of HIBC. In order to resolve key escrow problem, a new technique – Identifier Discrimination is proposed in this paper for composing private keys for entities in hierarchy. With the technique, an identity selective secure HIBE scheme is constructed under Decisional Bilinear Diffie- Helleman (DBDH) assumption in standard security model, in which any identity is incapable of deriving private keys for any of its descendants with use of its private key, and the privilege of generating private keys for each individual descendant is delegated by the root PKG through authorization, that we call Authorization Delegation. Moreover, a new hierarchical identity based signature (HIBS) scheme is constructed from our HIBE construction, by applying Naor transformation of an identity-based signature (IBS) out of an IBE. Because of the inability of deriving its descendants’ private keys with use its private key, an entity therefore cannot sign messages on behalf of any of its descendants, thus guaranteeing that authenticity and non-repudiation properties are achieved in our HIBS system.

목차

Abstract
 1. Introduction
  1.1. Related Work
  1.2. Our Results
 2. Preliminaries
  2.1. Bilinear Pairings
  2.2. Definition of HIBE systems
  2.3. Complexity Assumptions
 3. Our HIBE Construction
  3.1. Construction
  3.2. Correctness
 4. Authorized Delegation: Secret Derivation along Imaginary Identity Hierarchy
 5. Selective-Message HIBS Construction
  5.1. Construction
  5.2. Signing Key vs. Private Key
 6. Conclusion
 References

저자정보

  • Jian-Wu Zheng Institute of Electrical Engineering, Yanshan University, 066004, China, School of Transportation, Shijiazhuang Tiedao University, 050043, China
  • Jing Zhao School of Civil Engineering, Shijiazhuang Tiedao University, 050043, China
  • Xin-Ping Guan Institute of Electrical Engineering, Yanshan University, 066004, China, Department of Automation, Shanghai Jiao Tong University, 200240, China

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