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The Discrete Logarithm Problem is well-known among cryptographers, for its computational hardness that grants security to some of the most commonly used cryptosystems these days. Still, many of these are limited to a small number of…

Cryptography and Security · Computer Science 2010-02-19 Martin Schaffer , Stefan Rass

We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups. In particular we describe a scheme that would appear…

Group Theory · Mathematics 2019-02-18 James Renshaw

Let f be an arbitrary positive integer valued function. The goal of this note is to show that one can construct a finitely generated group in which the discrete log problem is polynomially equivalent to computing the function f. In…

Group Theory · Mathematics 2025-11-27 Christopher Battarbee , Arman Darbinyan , Delaram Kahrobaei

McEliece cryptosystem represents a smart open key system based on the hardness of the decoding of an arbitrary linear code, which is believed to be able to resist the advent of quantum computers. But the original McEliece cryptosystem,…

Cryptography and Security · Computer Science 2020-06-02 Fedor Ivanov , Eugenii Krouk

We present a new attack against cryptosystems based on the rank metric. Our attack allows us to cryptanalyze two variants of the GPT cryptosystem which were designed to resist the attack of Overbeck.

Cryptography and Security · Computer Science 2016-01-05 Anna-Lena Horlemann-Trautmann , Kyle Marshall , Joachim Rosenthal

A repair of the Faure-Loidreau (FL) public-key code-based cryptosystem is proposed. The FL cryptosystem is based on the hardness of list decoding Gabidulin codes which are special rank-metric codes. We prove that the recent structural…

Cryptography and Security · Computer Science 2018-05-08 Antonia Wachter-Zeh , Sven Puchinger , Julian Renner

A Post-Quantum Key Exchange is needed since the availability of quantum computers that allegedly allow breaking classical algorithms like Diffie-Hellman, El Gamal, RSA and others within a practical amount of time is broadly assumed in…

Cryptography and Security · Computer Science 2018-01-22 G. Brands , C. B. Roellgen , K. U. Vogel

Differential cryptanalysis is one of the most popular methods in attacking block ciphers. However, there still some limitations in traditional differential cryptanalysis. On the other hand, researches of quantum algorithms have made great…

Quantum Physics · Physics 2015-12-01 Hong-Wei Li , Li Yang

Like all of quantum information theory, quantum cryptography is traditionally based on two level quantum systems. In this letter, a new protocol for quantum key distribution based on higher dimensional systems is presented. An experimental…

Quantum Physics · Physics 2009-10-31 H. Bechmann-Pasquinucci , W. Tittel

This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

One-way functions are widely used for encrypting the secret in public key cryptography, although they are regarded as plausibly one-way but have not been proven so. Here we discuss the public key cryptosystem based on the system of higher…

Information Theory · Computer Science 2011-03-22 Harry Yosh

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

Most currently used cryptographic tools for protecting data are based on certain computational assumptions, which makes them vulnerable with respect to technological and algorithmic developments, such as quantum computing. One existing…

Quantum Physics · Physics 2023-04-28 Aleksey K. Fedorov

The main objective of this work is twofold. On the one hand, it gives a brief overview of the area of two-party cryptographic protocols. On the other hand, it proposes new schemes and guidelines for improving the practice of robust protocol…

Cryptography and Security · Computer Science 2015-03-17 Pino Caballero-Gil , Amparo Fúster-Sabater

A general study of arbitrary finite-size coherent attacks against continuous-variable quantum cryptographic schemes is presented. It is shown that, if the size of the blocks that can be coherently attacked by an eavesdropper is fixed and…

Quantum Physics · Physics 2007-05-23 Frederic Grosshans , Nicolas J. Cerf

In this paper, we present a generic attack for ciphers, which is in essence a collision attack on the secret keys of ciphers .

Cryptography and Security · Computer Science 2009-03-21 An-Ping Li

Because of their interesting algebraic properties, several authors promote the use of generalized Reed-Solomon codes in cryptography. Niederreiter was the first to suggest an instantiation of his cryptosystem with them but Sidelnikov and…

Cryptography and Security · Computer Science 2014-03-31 Alain Couvreur , Philippe Gaborit , Valérie Gauthier-Umaña , Ayoub Otmani , Jean-Pierre Tillich

This paper considers the design of encrypted control systems to secure data privacy when the control systems operate over a network. In particular, we propose to combine Paillier cryptosystem with a quantizer whose sensitivity changes with…

Systems and Control · Computer Science 2019-01-30 Masako Kishida

Security of quantum key distribution against sophisticated attacks is among the most important issues in quantum information theory. In this work we prove security against a very important class of attacks called collective attacks (under a…

Quantum Physics · Physics 2007-05-23 Eli Biham , Michel Boyer , Gilles Brassard , Jeroen van de Graaf , Tal Mor

Code-based cryptography is an interesting alternative to classic number-theory PKC since it is conjectured to be secure against quantum computer attacks. Many families of codes have been proposed for these cryptosystems, one of the main…

Information Theory · Computer Science 2012-05-17 Irene Márquez-Corbella , Ruud Pellikaan
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