Identity-based linearly homomorphic proxy signature scheme

Abstract

Currently, the construction of linearly homomorphic proxy signature schemes is quite limited, and existing schemes lack both resistance to quantum attacks and mechanisms for public key identity protection. To address these issues, this paper proposes and constructs, for the first time, an identity-based linearly homomorphic proxy signature scheme. This scheme serves as a general construction framework capable of extending any secure identity-based proxy signature into an identity-based linearly homomorphic proxy signature. Furthermore, for adversaries with varying attack capabilities, we rigorously prove the security of the scheme in the standard model, with its security strictly relying on the Short Integer Solution (SIS) problem. To demonstrate the practical value of our scheme, at the end of this paper, we present a specific application scenario in cloud computing data auditing.