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It is always an attractive topic for researchers that biometric traits are used to represent the identities of users in identity-based cryptography due to their unique and inherent properties. Fuzzy identity-based signature (FIBS) and biometric identity-based signature (BIO-IBS) are both promising cryptographic primitives, where a signature generated with a private key of an identity can be verified by another identity if and only if the distance between these two identities is within a certain threshold. In this paper, we design two novel constructions for biometric-based signature in identity-based setting over elliptic curve groups, namely BioFIBS and Bio-IBS. The combination of elliptic curve cryptography (ECC) technique with biometric-based IBS integrates the advantages of both so that the proposed schemes are performed in a more efficient and practical manner for resource-constrained applications. This is confirmed by the comparison with the existing schemes in terms of computational and communicational efficiency. In addition, we prove that both our schemes satisfy the security requirements including correctness and unforgeability that is guaranteed in the random oracle model against the adaptively chosen message and identity attack under the computational Diffie-Hellman assumption.

Two Efficient Constructions for Biometric-Based Signature in Identity-Based Setting Using Bilinear Pairings