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In recent years, there have been many studies on quantum computing and the construction of quantum computers which are capable of breaking conventional number theory-based public key cryptosystems. Therefore, in the not-too-distant future,…

Cryptography and Security · Computer Science 2022-12-29 Reza Hooshmand , Farhad Naserizadeh , Jalil Mazloum

In this work, we exploit a serious security flaw in a code-based signature scheme from a 2019 work by Liu, Yang, Han and Wang. They adapt the McEliece cryptosystem to obtain a new scheme and, on top of this, they design an efficient digital…

Cryptography and Security · Computer Science 2024-02-07 Giuseppe D'Alconzo

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

Several recently proposed code-based cryptosystems base their security on a slightly generalized version of the classical (syndrome) decoding problem. Namely, in the so-called restricted (syndrome) decoding problem, the error values stem…

Cryptography and Security · Computer Science 2023-06-09 Marco Baldi , Sebastian Bitzer , Alessio Pavoni , Paolo Santini , Antonia Wachter-Zeh , Violetta Weger

Code-based public-key cryptosystems based on QC-LDPC and QC-MDPC codes are promising post-quantum candidates to replace quantum vulnerable classical alternatives. However, a new type of attacks based on Bob's reactions have recently been…

Cryptography and Security · Computer Science 2018-08-07 Paolo Santini , Marco Baldi , Franco Chiaraluce

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

The improvements on quantum technology are threatening our daily cybersecurity, as a capable quantum computer can break all currently employed asymmetric cryptosystems. In preparation for the quantum-era the National Institute of Standards…

Cryptography and Security · Computer Science 2024-07-18 Violetta Weger , Niklas Gassner , Joachim Rosenthal

Private and public actors increasingly encounter use cases where they need to implement sensitive operations on mass-market peripherals for which they have little or no control. They are sometimes inclined to attempt this without using…

Cryptography and Security · Computer Science 2024-05-27 Vincent Giraud , Guillaume Bouffard

We give a polynomial time attack on the McEliece public key cryptosystem based on subcodes of algebraic geometry (AG) codes. The proposed attack reposes on the distinguishability of such codes from random codes using the Schur product.…

Information Theory · Computer Science 2014-09-30 Alain Couvreur , Irene Márquez-Corbella , Ruud Pellikaan

This paper presents a novel post-quantum cryptosystem based on high-memory masked convolutional codes. Unlike conventional code-based schemes that rely on block codes with fixed dimensions and limited error-correction capability, our…

Cryptography and Security · Computer Science 2025-10-20 Meir Ariel

Encryption schemes attempt to provide a means for entities to communicate confidentially over a public channel. Such schemes have been studied for centuries, and their use has become widespread. However, developments in the area of quantum…

Quantum Physics · Physics 2009-09-29 Michael Stephen Brown

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

This article discusses the security of McEliece-like encryption schemes using subspace subcodes of Reed-Solomon codes, i.e. subcodes of Reed-Solomon codes over $\mathbb{F}_{q^m}$ whose entries lie in a fixed collection of…

Cryptography and Security · Computer Science 2021-10-11 Alain Couvreur , Matthieu Lequesne

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

In this paper we show that it is possible to extend the framework of Persichetti's code-based framework and create a secure KEM based on the McEliece protocol. This provides greater flexibility in the application of coding theory as a basis…

Cryptography and Security · Computer Science 2018-02-15 Edoardo Persichetti

We present a code-based public-key cryptosystem, in which we use Reed-Solomon codes over an extension field as secret codes and disguise it by considering its shortened expanded code over the base field. Considering shortened expanded codes…

Cryptography and Security · Computer Science 2020-05-12 Karan Khathuria , Joachim Rosenthal , Violetta Weger

The security of code-based cryptosystems such as the McEliece cryptosystem relies primarily on the difficulty of decoding random linear codes. The best decoding algorithms are all improvements of an old algorithm due to Prange: they are…

Cryptography and Security · Computer Science 2017-04-25 Ghazal Kachigar , Jean-Pierre Tillich

The Code Equivalence problem is that of determining whether two given linear codes are equivalent to each other up to a permutation of the coordinates. This problem has a direct reduction to a nonabelian hidden subgroup problem (HSP),…

Computational Complexity · Computer Science 2011-11-21 Hang Dinh , Cristopher Moore , Alexander Russell

The McEliece cryptosystem is a public-key cryptosystem based on coding theory that has successfully resisted cryptanalysis for thirty years. The original version, based on Goppa codes, is able to guarantee a high level of security, and is…

Information Theory · Computer Science 2009-10-20 Marco Baldi

Polar codes are novel and efficient error correcting codes with low encoding and decoding complexities. These codes have a channel dependent generator matrix which is determined by the code dimension, code length and transmission channel…

Cryptography and Security · Computer Science 2017-12-22 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref