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The Diffie-Hellman key agreement protocol is based on taking large powers of a generator of a prime-order cyclic group. Some generators allow faster exponentiation. We show that to a large extent, using the fast generators is as secure as…

Cryptography and Security · Computer Science 2010-08-02 Boaz Tsaban

Ephemeral Diffie-Hellman Over COSE (EDHOC) aims at being a very compact and lightweight authenticated Diffie-Hellman key exchange with ephemeral keys. It is expected to provide mutual authentication, forward secrecy, and identity…

Cryptography and Security · Computer Science 2022-09-12 Baptiste Cottier , David Pointcheval

Security protocols often use randomization to achieve probabilistic non-determinism. This non-determinism, in turn, is used in obfuscating the dependence of observable values on secret data. Since the correctness of security protocols is…

Cryptography and Security · Computer Science 2009-06-30 Susmit Jha

Security of cryptographic protocols can be analysed by creating a model in a formal language and verifying the model in a tool. All such tools focus on the last part of the analysis, verification, and the interpretation of the specification…

Cryptography and Security · Computer Science 2022-04-06 Roberto Metere , Luca Arnaboldi

Today's information society relies on cryptography to achieve security goals such as confidentiality, integrity, authentication, and non-repudiation for digital communications. Here, public-key cryptosystems play a pivotal role to share…

Cryptography and Security · Computer Science 2024-12-19 Paul Staat , Meik Dörpinghaus , Azadeh Sheikholeslami , Christof Paar , Gerhard Fettweis , Dennis Goeckel

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

The statistical distribution, when determined from an incomplete set of constraints, is shown to be suitable as host for encrypted information. We design an encoding/decoding scheme to embed such a distribution with hidden information. The…

Statistical Mechanics · Physics 2015-06-25 L. Rebollo-Neira , A Plastino

Quantum key distribution (QKD) establishes secure links between remote communication parties. As a key problem for various QKD protocols, security analysis gives the amount of secure keys regardless of the eavesdropper's computational…

Quantum Physics · Physics 2023-09-26 Hongyi Zhou , Toshihiko Sasaki , Masato Koashi

Device-independent quantum key distribution (DIQKD) provides the strongest form of secure key exchange, using only the input-output statistics of the devices to achieve information-theoretic security. Although the basic security principles…

Diffie-Hellman key-agreement and RSA cryptosystem are widely used to provide security in internet protocols. But both of the two algorithms are totally breakable using Shor's algorithms. This paper proposes two connected matrix-based…

Cryptography and Security · Computer Science 2022-08-05 Abdelhaliem Babiker

Known key exchange schemes offering information-theoretic (unconditional) security are complex and costly to implement. Nonetheless, they remain the only known methods for achieving unconditional security in key exchange. Therefore, the…

Cryptography and Security · Computer Science 2024-02-27 Laszlo B. Kish

In this work, we investigate the problem of private statistical analysis in the distributed and semi-honest setting. In particular, we study properties of Private Stream Aggregation schemes, first introduced by Shi et al. \cite{2}. These…

Cryptography and Security · Computer Science 2015-07-30 Filipp Valovich , Francesco Aldà

Security analysis is a critical part in any cryptographic protocol, may it be classical or quantum. Without security analysis, one cannot ensure the secrecy of the distributed keys. To perform a conclusive security analysis, it is very…

Quantum Physics · Physics 2025-08-19 Sawan Bhattacharyya , Turbasu Chatterjee , Pankaj Agrawal , Prasenjit Deb

All instances of the semidirect key exchange protocol, a generalisation of the famous Diffie-Hellman key exchange protocol, satisfy the so-called "telescoping equality"; in some cases, this equality has been used to construct an attack. In…

Cryptography and Security · Computer Science 2022-03-16 Christopher Battarbee , Delaram Kahrobaei , Dylan Tailor , Siamak F. Shahandashti

A new scheme of probabilistic subgroup-related encryption is introduced. Some applications of this scheme based on the RSA, Diffie-Hellman and ElGamal encryption algorithms are described. Security assumptions and main advantages of this…

Cryptography and Security · Computer Science 2016-03-08 Vitalii Roman'kov

Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established protocols based on numeric computation. Notably, the protocols…

Group Theory · Mathematics 2016-09-07 Vladimir Shpilrain , Alexander Ushakov

Currently there is an active Post-Quantum Cryptography (PQC) solutions search, which attempts to find cryptographic protocols resistant to attacks by means of for instance Shor polynomial time algorithm for numerical field problems like…

Cryptography and Security · Computer Science 2017-04-25 Pedro Hecht

Encryption study basically deals with three levels of algorithms. The first algorithm deals with encryption mechanism, second deals with decryption Mechanism and the third discusses about the generation of keys and sub keys used in the…

Networking and Internet Architecture · Computer Science 2010-07-05 Addepalli V. N Krishna , A Vinay Babu

A new proposal for group key exchange is introduced which proves to be both efficient and secure and compares favorably with state of the art protocols.

Information Theory · Computer Science 2016-10-31 Juan Antonio Lopez-Ramos , Joachim Rosenthal , Davide Schipani , Reto Schnyder

If an eavesdropper Eve is equipped with quantum computers, she can easily break the public key exchange protocols used today. In this paper we will discuss the post-quantum Diffie-Hellman key exchange and private key exchange protocols.

Quantum Physics · Physics 2007-05-23 Xiangdong Li , Lin Leung , Andis Chi-Tung Kwan , Xiaowen Zhang , Dammika Kahanda , Michael Anshel