How to prove yourself: practical solutions to identification and signature problems
Proceedings on Advances in cryptology---CRYPTO '86
Proceedings on Advances in cryptology---CRYPTO '86
Zero-knowledge proofs of identity
Journal of Cryptology
Random oracles are practical: a paradigm for designing efficient protocols
CCS '93 Proceedings of the 1st ACM conference on Computer and communications security
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 3: (2nd ed.) sorting and searching
The art of computer programming, volume 3: (2nd ed.) sorting and searching
On the fly signatures based on factoring
CCS '99 Proceedings of the 6th ACM conference on Computer and communications security
A "Paradoxical" Indentity-Based Signature Scheme Resulting from Zero-Knowledge
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
On Concrete Security Treatment of Signatures Derived from Identification
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
The Composite Discrete Logarithm and Secure Authentication
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
A new baby-step giant-step algorithm and some applications to cryptanalysis
CHES'05 Proceedings of the 7th international conference on Cryptographic hardware and embedded systems
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In this paper, we propose a fast signature scheme which is derived from three-pass identification scheme. Our signature scheme would require a modular exponentiation as preprocessing. However, no multiplication is used in the actual (i.e. on-line) signature generation. This means that the phase involves only a hashing operation, addition and a modular reduction. So far, some fast signature schemes called on the fly signatures were proposed. In those schemes the modular reduction is eliminated in the on-line phase. Therefore, our approach to obtain the fast on-line signature is different from theirs. This paper is the first approach for the fast signature scheme without on-line modular multiplication.