Abstract
The bilinearity of pairings allows efficient signature verification for signature schemes based on discrete logarithm type problem and often provides useful additional functionalities to signature schemes. In recent years, bilinear pairings have been widely used to create signature schemes. But the bilinearity can also be an attack point in uncarefully designed protocols. We cryptanalyze two signature schemes presented at CISC ’05, Cheng et al.’s group signature scheme and Gu et al.’s ID-based verifiably encrypted signature scheme, both based on bilinear pairings. We show that their improper uses of a bilinear pairing lead to untraceable group signatures for Cheng et al.’s group signature scheme and universally forgeable signatures for Gu et al.’s ID-based verifiably encrypted signature scheme.
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Park, H., Cao, Z., Liu, L., Lim, S., Yie, I., Chun, K. (2006). Cryptanalysis of Two Signature Schemes Based on Bilinear Pairings in CISC ’05. In: Lipmaa, H., Yung, M., Lin, D. (eds) Information Security and Cryptology. Inscrypt 2006. Lecture Notes in Computer Science, vol 4318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11937807_1
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DOI: https://doi.org/10.1007/11937807_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49608-3
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