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Related papers: Variations of the McEliece Cryptosystem

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This paper is an attempt to build a new public-key cryptosystem; similar to the McEliece cryptosystem, using permutation error-correcting codes. We study a public-key cryptosystem built using two permutation error-correcting codes. We show…

Information Theory · Computer Science 2023-09-11 Adarsh Srinivasan , Ayan Mahalanobis

We cryptanalyse here two variants of the McEliece cryptosystem based on quasi-cyclic codes. Both aim at reducing the key size by restricting the public and secret generator matrices to be in quasi-cyclic form. The first variant considers…

Cryptography and Security · Computer Science 2010-01-04 Ayoub Otmani , Jean-Pierre Tillich , Leonard Dallot

Krouk, Tavernier and Kabatiansky proposed new variants of the McEliece cryptosystem. In this letter, it is shown that cryptosystem based on correction of errors erasures is equal to the Mc-Eliece cryptosystem with worse parametrs public…

Cryptography and Security · Computer Science 2023-12-27 Kirill Yackushenoks , Fedor Ivanov

Due to the rapid advances in the development of quantum computers and their susceptibility to errors, there is a renewed interest in error correction algorithms. In particular, error correcting code-based cryptosystems have reemerged as a…

Cryptography and Security · Computer Science 2019-08-27 Lake Bu , Rashmi Agrawal , Hai Cheng , Michel A. Kinsy

In the context of public key cryptography, the McEliece cryptosystem represents a very smart solution based on the hardness of the decoding problem, which is believed to be able to resist the advent of quantum computers. Despite this, the…

Cryptography and Security · Computer Science 2013-10-01 Marco Baldi , Marco Bianchi , Franco Chiaraluce

This paper studies a variant of the McEliece cryptosystem able to ensure that the code used as the public key is no longer permutation-equivalent to the secret code. This increases the security level of the public key, thus opening the way…

Information Theory · Computer Science 2014-05-21 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Joachim Rosenthal , Davide Schipani

This work presents some novel techniques to enhance an encryption scheme motivated by classical McEliece cryptosystem. Contributions include: (1) using masking matrices to hide sensitive data, (2) allowing both legitimate parties to…

Cryptography and Security · Computer Science 2024-01-30 Amir K. Khandani

This letter presents a cryptanalysis of the modified McEliece cryptosystem recently proposed by Moufek, Guenda and Gulliver [24]. The system is based on the juxtaposition of quasi-cyclic LDPC and quasi-cyclic MDPC codes. The idea of our…

Cryptography and Security · Computer Science 2017-12-07 Vlad Dragoi , Hervé Talé Kalachi

Recently, it has been shown how McEliece public-key cryptosystems based on moderate-density parity-check (MDPC) codes allow for very compact keys compared to variants based on other code families. In this paper, classical (iterative)…

Cryptography and Security · Computer Science 2018-01-18 Hannes Bartz , Gianluigi Liva

In this paper we present a variant of the McEliece cryptosystem that possesses several interesting properties, including a reduction of the public key for a given security level. In contrast to the classical McEliece cryptosystems, where…

Information Theory · Computer Science 2023-12-12 Paulo Almeida , Miguel Beltrá , Diego Napp , Cláudia Sebastião

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

Different variants of the code-based McEliece cryptosystem were pro- posed to reduce the size of the public key. All these variants use very structured codes, which open the door to new attacks exploiting the underlying structure. In this…

Cryptography and Security · Computer Science 2011-11-17 Morgan Barbier , Barreto S. L. M. Paulo

Post-quantum cryptography has gained attention due to the need for secure cryptographic systems in the face of quantum computing. Code-based and lattice-based cryptography are two prominent approaches, both heavily studied within the NIST…

Cryptography and Security · Computer Science 2024-10-16 Anna-Lena Horlemann , Karan Khathuria , Marc Newman , Amin Sakzad , Carlos Vela Cabello

We propose to use real-valued errors instead of classical bit flipping intentional errors in the McEliece cryptosystem based on moderate-density parity-check (MDPC) codes. This allows to exploit the error correcting capability of these…

Information Theory · Computer Science 2017-03-02 Marco Baldi , Paolo Santini , Franco Chiaraluce

In this paper, we study the behavior of the true dimension of the subfield subcodes of Hermitian codes. Our motivation is to use these classes of linear codes to improve the parameters of the McEliece cryptosystem, such that key size and…

Algebraic Geometry · Mathematics 2020-04-14 Sabira El Khalfaoui , Gábor P. Nagy

We consider the framework of the McEliece cryptosystem based on LDPC codes, which is a promising post-quantum alternative to classical public key cryptosystems. The use of LDPC codes in this context allows to achieve good security levels…

Information Theory · Computer Science 2013-07-10 Marco Baldi , Marco Bianchi , Nicola Maturo , Franco Chiaraluce

In this paper we present a new class of convolutional codes that admits an efficient al- gebraic decoding algorithm. We study some of its properties and show that it can decode interesting sequences of errors patterns. The second part of…

Information Theory · Computer Science 2018-04-25 P. Almeida , D. Napp

McEliece encryption scheme which enjoys relatively small key sizes as well as a security reduction to hard problems of coding theory. Furthermore, it remains secure against a quantum adversary and is very well suited to low cost…

Cryptography and Security · Computer Science 2016-08-23 Julia Chaulet , Nicolas Sendrier

Recently, a few chosen-ciphertext secure (CCA2-secure) variants of the McEliece public-key encryption (PKE) scheme in the standard model were introduced. All the proposed schemes are based on encryption repetition paradigm and use general…

Cryptography and Security · Computer Science 2013-09-10 Roohallah Rastaghi

This paper investigates a quantum version of McEliece public-key encryption (PKE) scheme, and analyzes its security. As is well known, the security of classical McEliece PKE is not stronger than the onewayness of related classical one-way…

Quantum Physics · Physics 2015-01-21 Li Yang , Min Liang
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