Handbook of theoretical computer science (vol. A)
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Fast RSA-Type Cryptosystems Using N-Adic Expansion
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Fast RSA-Type Cryptosystem Modulo pkq
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Cryptanalysis of multi-prime RSA with small prime difference
ICICS'12 Proceedings of the 14th international conference on Information and Communications Security
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In this paper, we propose a generalized Takagi-Cryptosystem with a modulus of the form pr qs. We've studied for the optimal choice for r, s that gives the best efficiency while maintaining a prescribed security level, and we show that the choice of either pr qr+1, pr-1 qr+1, or pr-2qr+2 depending on the value r + s is the optimal. We also present comparison tables for the efficiency of RSA, the multiprime technology, Takagi's scheme, and our proposed scheme.