A smart card implementation of the Fiat-Shamir identification scheme
Lecture Notes in Computer Science on Advances in Cryptology-EUROCRYPT'88
Factoring with two large primes (extended abstract)
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
RSA moduli with a predetermined portion: techniques and applications
ISPEC'08 Proceedings of the 4th international conference on Information security practice and experience
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Several asymmetric cryptographic systems such as the RSA system [6] require modular exponentiation of large integers. This paper discusses a modular routine described in [2], which is suited for smart cards. It is based on the Mohan-Adiga algorithm [5]. This algorithm is comparatively fast, if the leading half of the bits of the modulus is 1. It will be shown that this restriction has some severe implications on the number of suitable primes and on the security of the system. If one decrements the number of leading 1's then the security level of the system is increased while the speed is decreased.