Abstract
Electronic messages authentication issue is of significant importance for computer systems. A number of public key cryptosystems based on the composite modulus (n=pq, where p and q are large primes) has been proposed to provide information authentication and only for one of them (that has been proposed by M. Rabin) security has been proved formally. In this paper we generalize the M. Rabin’s public key encryption and digital signature schemes and present formal proof of the security of the class of public key cryptosystems based on difficulty of the factorization problem.
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References
Rivest, R.L., Shamir, A., Adleman, L.M.: A Method for Obtaining Digital Signatures and Public Key Cryptosystems. Communications of the ACM 21(2), 120–126 (1978)
Menezes, A.J., Vanstone, S.A.: Handbook of Applied Cryptography, p. 780. CRC Press (1996)
Pieprzyk, J., HardjonoTh., S.J.: Fundumentals of Computer Security, p. 677. Springer, Berlin (2003)
Rabin, M.O.: Digitalized signatures and public key functions as intractable as factorization. —Technical report MIT/LCS/TR-212, MIT Laboratory for Computer Science (1979)
Fiat, A., Shamir, A.: How to prove yourself: Practical solutions to identification and signature problems. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 186–194. Springer, Heidelberg (1987)
Gordon, J.: Strong primes are easy to find. In: Beth, T., Cot, N., Ingemarsson, I. (eds.) Advances in Cryptology. LNCS, vol. 209, pp. 216–223. Springer, Heidelberg (1985)
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Moldovyan, N., Moldovyan, A. (2007). Class of Provably Secure Information Authentication Systems. In: Gorodetsky, V., Kotenko, I., Skormin, V.A. (eds) Computer Network Security. MMM-ACNS 2007. Communications in Computer and Information Science, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73986-9_12
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DOI: https://doi.org/10.1007/978-3-540-73986-9_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73985-2
Online ISBN: 978-3-540-73986-9
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