Key-homomorphic signatures: definitions and applications to multiparty signatures and non-interactive zero-knowledge

  • David Derler
  • Daniel Slamanig


Key-homomorphic properties of cryptographic objects, i.e., homomorphisms on their key space, have proven to be useful, both from a theoretical as well as a practical perspective. Important cryptographic objects such as pseudorandom functions or (public key) encryption have been studied previously with respect to key-homomorphisms. Interestingly, however, signature schemes have not been explicitly investigated in this context so far. We close this gap and initiate the study of key-homomorphic signatures, which turns out to be an interesting and versatile concept. In doing so, we firstly propose a definitional framework for key-homomorphic signatures distilling various natural flavours of key-homomorphic properties. Those properties aim to classify existing signature schemes and thus allow to infer general statements about signature schemes from those classes by simply making black-box use of the respective properties. We apply our definitional framework to show elegant and simple compilers from classes of signature schemes admitting different types of key-homomorphisms to a number of other interesting primitives such as ring signature schemes, (universal) designated verifier signature schemes, simulation-sound extractable non-interactive zero-knowledge arguments, and multisignature schemes. Additionally, using the formalisms provided by our framework, we can prove a tight implication from single-user security to key-prefixed multi-user security for a class of schemes admitting a certain key-homomorphism.


Key-homomorphic signatures Ring signatures (Universal) designated verifier signatures Simulation-sound extractable non-interactive zero-knowledge Multisignatures Multi-user signatures 

Mathematics Subject Classification




The authors have been supported by EU H2020 project Prismacloud, Grant Agreement No. 644962. We thank various anonymous referees for their valuable comments.


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Authors and Affiliations

  1. 1.IAIK, Graz University of TechnologyGrazAustria
  2. 2.AIT Austrian Institute of TechnologyViennaAustria

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