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Public-key encryption with chaos

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2004
We propose public-key encryption algorithms based on chaotic maps, which are generalization of well-known and commercially used algorithms: Rivest–Shamir–Adleman (RSA), ElGamal, and Rabin. For the case of generalized RSA algorithm we discuss in detail its software implementation and properties. We show that our algorithm is as secure as RSA algorithm.
Kocarev, Ljupco   +3 more
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Public-Key Encryption

1999
Public-key algorithms use a secret element and a public element to their code. One of the main algorithms is RSA. Compared with DES it is relatively slow but it has the advantage that users can choose their own key whenever they need one. The most commonly used public-key cryptosystems are covered in the next sections.
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Public key encryption

ACM SIGSAM Bulletin, 1987
The RSA method is used for the interchange of secret messages via insecure channels. It is elegant in theory and fast and reliable in practice. Applications are in the field of communication networks.The method is initialized by choosing some suitable large prime numbers. Encrypting and decrypting of a message are done by modular arithmetic.
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Public-Key Encryption

2020
In 1976, Diffie and Hellman first introduced the concept of public-key cryptography. Unlike the traditional symmetric-key primitive, public-key primitive has a pair of keys, namely, public key and private key, where the public key can be made freely available to anyone with the guarantee that it is computationally infeasible to compute the private key ...
Jonathan Katz, Yehuda Lindell
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Multipurpose Public-Key Encryption

2017
We propose a new type of public-key schemes, that simultaneously satisfies selective opening (SO) security, key-dependent message (KDM) security and leakage-resilience. Our construction can be instantiated under the quadratic residuosity (QR) assumption or decisional composite residuosity (DCR) assumption.
Rui Zhang 0002, Kai He
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Public Key Encryption

2011
I’m sure you’ve heard of public key encryption (PKE). You probably use it every day—if not in your code or on your servers, then on the Internet. When you use secure socket layers (SSL) in your browser or when you see the lock or key symbol and see https:(with the s) as the protocol in the address bar, you are using PKE and other encryption.
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On the Integration of Public Key Data Encryption and Public Key Encryption with Keyword Search

2006
In this paper, we consider the problem of combining a public key encryption (PKE) scheme and a public key encryption with keyword search (PEKS) scheme proposed by Boneh, Di Crescenzo, Ostrovsky and Persiano (BDOP) in Eurocrypt 2004. We argue that the two schemes need to be treated as a single scheme to securely provide the PEKS service that BDOP ...
Joonsang Baek   +2 more
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Generic Combination of Public Key Encryption with Keyword Search and Public Key Encryption

2007
In this paper, we study the problem of secure integrating public key encryption with keyword search (PEKS) with public key data encryption (PKE). We argue the previous security model is not complete regarding keyword privacy and the previous constructions are secure only in the random oracle model.
Rui Zhang 0002, Hideki Imai
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Public key vs. conventional key encryption

1979 International Workshop on Managing Requirements Knowledge (MARK), 1979
As distributed computer systems grow and their convenience attracts uses for which maintenance of privacy and security is important, the means by which encryption is integrated into these systems also becomes important. Encryption is the only practical way by which secure, private communication can be conducted while employing untrusted media to carry ...
Charles S. Kline, Gerald J. Popek
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Public-Key Encryption

2012
The preceding chapter offered a brief glimpse at the origins of public-key cryptography, which was born with the purpose of enabling secure communication between two parties that do not have to share a common secret key. Public-key cryptography started with the realization that it should be possible to design encryption schemes in which it is ...
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