Abstract
Public-key cryptography ensures both secrecy and authenticity of communication using public-key encryption schemes and digital signatures, respectively. Following a brief introduction to the public-key setting (and a comparison with the classical symmetric-key setting), we present rigorous definitions of security for public-key encryption and digital signature schemes, introduce some number-theoretic primitives used in their construction, and describe various practical instantiations.
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References
J. Katz, Y. Lindell: Introduction to Modern Cryptography (Chapman & Hall/CRS Press, Boca Raton, FL, USA 2007)
R.L. Rivest, A. Shamir, L.M. Adleman: A method for obtaining digital signature and public-key cryptosystems, Commun. ACM, 21(2), 120–126 (1978)
T. El Gamal: A public key cryptosystem and a signature scheme based on discrete logarithms, Trans. Inf. Theory 31, 469–472 (1985)
PKCS #1 version 1.5: RSA cryptography standard (RSA Data Security, Inc., 1991), available at http://www.rsa.com/rsalabs
D. Bleichenbacher: Chosen ciphertext attacks against protocols based on the RSA encryption standard PKCS #1. In: Advances in Cryptology – Crypto ’98, Lecture Notes in Computer Science, Vol. 1462, ed. by H. Krawczyk (Springer, Heidelberg, Germany 1998) pp. 1–12
PKCS #1 version 2.1: RSA cryptography standard (RSA Data Security, Inc., 1998), available at http://www.rsa.com/rsalabs
M. Bellare, P. Rogaway: Optimal asymmetric encryption. In: Advances in Cryptology – Eurocrypt ’94, Lecture Notes in Computer Science, Vol. 950, ed. by A. De Santis (Springer, Heidelberg, Germany 1994) pp. 92–111
E. Fujisaki, T. Okamoto, D. Pointcheval, J. Stern: RSA-OAEP is secure under the RSA assumption, J. Cryptol. 17(2), 81–104 (2004)
M. Bellare, P. Rogaway: Random oracles are practical: A paradigm for designing efficient protocols, 1st ACM Conference on Computer and Communications Security (ACM Press, 1993) pp. 62–73
R. Cramer, V. Shoup: Design and analysis of practical public-key encryption schemes secure against adaptive chosen ciphertext attack, SIAM J. Comput. 33(1), 167–226 (2003)
Digital signature standard (dss). National Institute of Standards and Technology (NIST), FIPS PUB #186-2, Department of Commerce, 2000
M. Bellare, P. Rogaway: The exact security of digital signatures: How to sign with RSA and Rabin. In: Advances in Cryptology – Eurocrypt ’96, Lecture Notes in Computer Science, Vol. 1070, ed. by U.M. Maurer (Springer, Heidelberg, Germany 1996) pp. 399–416
O. Goldreich: Foundations of Cryptography, Vol. 1: Basic Tools (Cambridge University Press, Cambridge, UK 2001)
O. Goldreich: Foundations of Cryptography, Vol. 2: Basic Applications (Cambridge University Press, Cambridge, UK 2004)
D.R. Stinson: Cryptography: Theory and Practice, 3rd edn. (Chapman & Hall/CRC Press, Boca Raton, FL, USA 2005)
M. Bellare, P. Rogaway: Introduction to modern cryptography: Lecture notes (2003), available at http://www.cs.ucsd.edu/users/mihir/cse207/classnotes.html
B. Schneier: Applied Cryptography, 2nd edn. (Wiley, New York, NY, USA 1996)
A.J. Menezes, P.C. van Oorschot, S.A. Vanstone: Handbook of Applied Cryptography (CRC Press, Boca Raton, FL, USA 1996)
W. Diffie, M.E. Hellman: New directions in cryptography, IEEE Trans. Inf. Theory 22(6), 644–654 (1976)
M.O. Rabin: Digital signatures and public key functions as intractable as factorization. Technical Report MIT/LCS/TR-212 (Massachusetts Institute of Technology, January 1979)
S. Goldwasser, S. Micali: Probabilistic encryption, J. Comput. Syst. Sci. 28(2), 270–299 (1984)
M. Naor, M. Yung: Public-key cryptosystems provably secure against chosen ciphertext attacks, 22nd Annual ACM Symposium on Theory of Computing (ACM Press, 1990)
C. Rackoff, D.R. Simon: Non-interactive zero-knowledge proof of knowledge and chosen ciphertext attack. In: Advances in Cryptology – Crypto ’91, Lecture Notes in Computer Science, Vol. 576, ed. by J. Feigenbaum (Springer, Heidelberg, Germany 1992) pp. 433–444
M. Blum, S. Goldwasser: An efficient probabilistic public-key encryption scheme which hides all partial information. In: Advances in Cryptology – Crypto ’84, Lecture Notes in Computer Science, Vol. 196, ed. by G.R. Blakley, D. Chaum (Springer, Heidelberg, Germany 1985) pp. 289–302
S. Goldwasser, S. Micali, R.L. Rivest: A digital signature scheme secure against adaptive chosen-message attacks, SIAM J. Comput. 17(2), 281–308 (1988)
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Katz, J. (2010). Public-Key Cryptography. In: Stavroulakis, P., Stamp, M. (eds) Handbook of Information and Communication Security. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04117-4_2
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DOI: https://doi.org/10.1007/978-3-642-04117-4_2
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