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In this paper, we suggest a code-based public key encryption scheme, called McNie. McNie is a hybrid version of the McEliece and Niederreiter cryptosystems and its security is reduced to the hard problem of syndrome decoding. The public key…

Cryptography and Security · Computer Science 2019-01-29 Jon-Lark Kim , Young-Sik Kim , Lucky Galvez , Myeong Jae Kim , Nari Lee

We bring in here a novel algebraic approach for attacking the McEliece cryptosystem. It consists in introducing a subspace of matrices representing quadratic forms. Those are associated with quadratic relationships for the component-wise…

Cryptography and Security · Computer Science 2023-08-25 Alain Couvreur , Rocco Mora , Jean-Pierre Tillich

In 1999, public key cryptography using the matrix was devised by a hish school student of 16 yesrs old girl Sarah Flannery. This cryptosystem seemed faster than RSA, and it's having the strength to surpass even the encryption to RSA.…

Cryptography and Security · Computer Science 2023-08-15 Yoshihiro Terasawa

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

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

Twisted Reed-Solomon (TRS) codes are a family of codes that contains a large number of maximum distance separable codes that are non-equivalent to Reed--Solomon codes. TRS codes were recently proposed as an alternative to Goppa codes for…

Information Theory · Computer Science 2020-03-24 Julien Lavauzelle , Julian Renner

Due to the weakness of public key cryptosystems encounter of quantum computers, the need to provide a solution was emerged. The McEliece cryptosystem and its security equivalent, the Niederreiter cryptosystem, which are based on Goppa…

Cryptography and Security · Computer Science 2023-10-11 Arash Khalvan , Amirhossein Zali , Mahmoud Ahmadian Attari

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

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

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

We propose a framework for constructing efficient code-based encryption schemes from codes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first proposed by Alekhnovich in 2003 and based…

Cryptography and Security · Computer Science 2016-12-19 Carlos Aguilar , Olivier Blazy , Jean-Christophe Deneuville , Philippe Gaborit , Gilles Zémor

The key encapsulation mechanism Edon-K was proposed in response to the call for post-quantum cryptography standardization issued by the National Institute of Standards and Technologies (NIST). This scheme is inspired by the McEliece scheme…

Cryptography and Security · Computer Science 2018-02-20 Matthieu Lequesne , Jean-Pierre Tillich

We present a rank metric code-based encryption scheme with key and ciphertext sizes comparable to that of isogeny-based cryptography for an equivalent security level. The system also benefits from efficient encryption and decryption…

Cryptography and Security · Computer Science 2019-12-02 Julien Lavauzelle , Pierre Loidreau , Ba-Duc Pham

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

Cryptography and Security · Computer Science 2015-01-20 M. Andrecut

The McEliece public-key encryption scheme has become an interesting alternative to cryptosystems based on number-theoretical problems. Differently from RSA and ElGa- mal, McEliece PKC is not known to be broken by a quantum computer.…

Cryptography and Security · Computer Science 2012-06-04 Nico Döttling , Rafael Dowsley , Jörn Müller-Quade , Anderson C. A. Nascimento

Recently, a novel public key edcryption technique based on multiple chaotic systems has been proposed. The scheme employs m-chaotic systmes and a set of linear functions for key exchange over an insecure channel. The security of the…

Chaotic Dynamics · Physics 2009-11-11 K. wang , W. J. Pei , Z. L. Hua , Z. Y. He

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

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 construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of…

Cryptography and Security · Computer Science 2025-10-07 Rohit Chatterjee , Changrui Mu , Prashant Nalini Vasudevan

Public-key cryptography algorithms have evolved towards increasing computational complexity to hide desired messages, which is accelerating with the development of the Internet and quantum computing. This paper introduces a novel public-key…

Cryptography and Security · Computer Science 2025-12-03 Keum-Bae Cho