Welcome to the resource topic for 2015/479
Title:
A Provably Secure Group Signature Scheme from Code-Based Assumptions
Authors: Martianus Frederic Ezerman, Hyung Tae Lee, San Ling, Khoa Nguyen, Huaxiong Wang
Abstract:We solve an open question in code-based cryptography by introducing the first provably secure group signature scheme from code-based assumptions. Specifically, the scheme satisfies the CPA-anonymity and traceability requirements in the random oracle model, assuming the hardness of the McEliece problem, the Learning Parity with Noise problem, and a variant of the Syndrome Decoding problem. Our construction produces smaller key and signature sizes than the existing post-quantum group signature schemes from lattices, as long as the cardinality of the underlying group does not exceed the population of the Netherlands (\approx 2^{24} users). The feasibility of the scheme is supported by implementation results. Additionally, the techniques introduced in this work might be of independent interest: a new verifiable encryption protocol for the randomized McEliece encryption and a new approach to design formal security reductions from the Syndrome Decoding problem.
ePrint: https://eprint.iacr.org/2015/479
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