Authorized Function Homomorphic Signature. (3rd November 2018)

• Record Type: Journal Article
• Authors: Guo, Qingwen; Huang, Qiong; Yang, Guomin
• Editors: Liu, Joseph
• Is Part Of: Computer journal. Volume 61:Number 12(2018)
• Page Start: 1897
• Page End: 1908
• Publication Date: 2018-11-03
• Subjects: digital signature -- homomorphic signature -- functional signature -- zk-SNARKs -- cloud computing; Computers -- Periodicals; 005.1
• DOI: 10.1093/comjnl/bxy114
• Languages: English
• ISSNs: 0010-4620

Abstract

Abstract: Homomorphic signature (HS) is a novel primitive that allows an agency to carry out arbitrary (polynomial time) computation f on the signed data m → and accordingly gain a signature σ h for the computation result f ( m → ) with respect to f on behalf of the data owner (DO). However, since DO lacks control of the agency's behavior, receivers would believe that DO did authenticate the computation result even if the agency misbehaves and applies a function that the DO does not want. To address the problem above, in this paper we introduce a new primitive called authorized function homomorphic signature (AFHS). In AFHS, the agency has to obtain a confidence key sk f from DO in order to evaluate a function f on the data m → and to obtain a signature with which one can check whether the agency acts in accordance with DO's instructions. A black-box construction of AFHS based on HS is given in this paper, and we show that if the underlying primitives are secure, so is our construction under the given security model. Moreover, we provide a somewhat concrete construction that offers stronger security guarantee.