Hattori et al. proposed provably-secure cancelable biometric authentication protocols based on homomorphic encryption such as the Boneh-Goh-Nissim encryption scheme or the Okamoto-Takashima encryption scheme (Journal on Information Processing, 20(2):496–507, 2012). However, their protocols have a security issue that the replay attack is applicable. In this paper, we propose a variant of the Hattori et al. protocols by combining challenge-response authentication with additive homomorphicity, and show that our protocol are secure against not only the replay attack but also its related attack with homomorphic properties.
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