Abstract
We show that the communication efficient t-out-of-m scheme proposed by De Santis, Di Crescenzo, and Persiano [Communication-efficient anonymous group identification, ACM Conference on Computer and Communications Security, (1998) 73–82] is incorrect; an authorized group may fail to prove the identity even though the verifier is honest. We rigorously discuss the condition where the scheme works correctly. In addition, we propose a new scheme attaining Θ(mn) communication complexity, where n is the security parameter. It improves the current best communication complexity Θ(mn logm) of the t-out-of-m scheme, and it can be also considered as a zero-knowledge proof for t out of m secrets.
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References
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Yamamura, A., Kurokawa, T., Nakazato, J. (2007). Threshold Anonymous Group Identification and Zero-Knowledge Proof. In: Pieprzyk, J., Ghodosi, H., Dawson, E. (eds) Information Security and Privacy. ACISP 2007. Lecture Notes in Computer Science, vol 4586. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73458-1_27
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DOI: https://doi.org/10.1007/978-3-540-73458-1_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73457-4
Online ISBN: 978-3-540-73458-1
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