Abstract
Fuzzy vector signature (FVS) is a new primitive where a fuzzy (biometric) data w is used to generate a verification key (VKw), and, later, a distinct fuzzy (biometric) data w′ (as well as a message) is used to generate a signature (σw′). The primary feature of FVS is that the signature (σw′) can be verified under the verification key (VKw) only if w is close to w′ in a certain predefined distance. Recently, Seo et al. proposed an FVS scheme that was constructed (loosely) using a subset-based sampling method to reduce the size of helper data. However, their construction fails to provide the reusability property that requires that no adversary gains the information on fuzzy (biometric) data even if multiple verification keys and relevant signatures of a single user, which are all generated with correlated fuzzy (biometric) data, are exposed to the adversary. In this paper, we propose an improved FVS scheme which is proven to be reusable with respect to arbitrary correlated fuzzy (biometric) inputs. Our efficiency improvement is achieved by strictly applying the subset-based sampling method used before to build a fuzzy extractor by Canetti et al. and by slightly modifying the structure of the verification key. Our FVS scheme can still tolerate sub-linear error rates of input sources and also reduce the signing cost of a user by about half of the original FVS scheme. Finally, we present authentication protocols based on fuzzy extractor and FVS scheme and give performance comparison between them in terms of computation and transmission costs.
Highlights
Biometric information has been used for user authentication [1,2,3,4,5]because of its uniqueness and immutability
We introduce the formal security model for reusability of fuzzy vector signature (FVS) and prove that our proposed scheme is reusable in the reusability model
Compared to the original FVS scheme [20], we reduced the size of the signing parameter and the verification key to approximately two-thirds their original sizes and cut the signature size by about half
Summary
Biometric information (e.g., fingerprint, iris, face, vein) has been used for user authentication [1,2,3,4,5]. A new primitive called fuzzy vector signature (FVS) [20] was proposed based on bilinear maps (i.e., pairings), which improved the error tolerance rate without any additional requirements on the distribution of biometric information. This scheme tolerates a sub-linear fraction of errors and is based on standard assumptions, like the external Diffie-Hellman (XDH). By more strictly applying the subset-based sampling method [17], our scheme is more efficient than Reference [20] from the perspective of the user and the authentication server It reduces the size of the signature and verification key and the number of pairing operations required for verification.
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