Some public key crypto-functions as intractable as factorization
Proceedings of CRYPTO 84 on Advances in cryptology
Attacks on some RSA signatures
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
An M3 public-key encryption scheme
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
A cubic RSA code equivalent to factorization
Journal of Cryptology
Factoring with two large primes
Mathematics of Computation
A course in computational algebraic number theory
A course in computational algebraic number theory
A public-key cryptosystem utilizing cyclotomic fields
Designs, Codes and Cryptography
Handbook of Applied Cryptography
Handbook of Applied Cryptography
On the Security of RSA Padding
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Computation of Approximate L-th Roots Modulo n and Application to Cryptography
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
Generating RSA Moduli with a Predetermined Portion
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
A block Lanczos algorithm for finding dependencies over GF(2)
EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques
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This paper specializes the signature forgery by Coron, Naccache and Stern (1999) to Rabin-type systems. We present a variation in which the adversary may derive the private keys and thereby forge the signature on any chosen message. Further, we demonstrate that, contrary to the RSA, the use of larger (even) public exponents does not reduce the complexity of the forgery. Finally, we show that our technique is very general and applies to any Rabin-type system designed in a unique factorization domain, including the Williams' M3 scheme (1986), the cubic schemes of Loxton et al. (1992) and of Scheidler (1998), and the cyclotomic schemes (1995).