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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

McNie is a code-based public key encryption scheme submitted as a candidate to the NIST Post-Quantum Cryptography standardization. In this paper, we present McNie2-Gabidulin, an improvement of McNie. By using Gabidulin code, we eliminate…

Cryptography and Security · Computer Science 2018-12-13 Jon-Lark Kim , Young-Sik Kim , Lucky Galvez , Myeong Jae Kim

Inspired by Fujita's analysis [Quantum inf. & comput. 12(3&4), 2012], we suggest a twice-encryption scheme to improve the security of the original quantum McEliece public-key encryption algorithm.

Quantum Physics · Physics 2013-04-23 Li Yang , Min Liang

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 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

In this paper, ensembles of quasi-cyclic moderate-density parity-check (MDPC) codes based on protographs are introduced and analyzed in the context of a McEliece-like cryptosystem. The proposed ensembles significantly improve the error…

Information Theory · Computer Science 2018-01-24 Gianluigi Liva , Hannes Bartz

We present a novel approach to post-quantum cryptography that employs directed-graph decryption of noise-enhanced high-memory convolutional codes. The proposed construction generates random-like generator matrices that effectively conceal…

Cryptography and Security · Computer Science 2025-12-04 Meir Ariel

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

We revisit the 3-pass code-based identification scheme proposed by Stern at Crypto'93, and give a new 5-pass protocol for which the probability of the cheater is 1/2 (instead of 2/3 in the original Stern's proposal). Furthermore, we propose…

Cryptography and Security · Computer Science 2010-01-19 Pierre-Louis Cayrel , Pascal Veron

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 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 develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of…

Cryptography and Security · Computer Science 2016-07-12 Frantisek Marko , Alexandr N. Zubkov , Martin Juras

An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree group. This approach improves security against sequential key…

Cryptography and Security · Computer Science 2025-04-28 Gennady Khalimov , Yevgen Kotukh

We present a new distinguisher for alternant and Goppa codes, whose complexity is subexponential in the error-correcting capability, hence better than that of generic decoding algorithms. Moreover it does not suffer from the strong regime…

Cryptography and Security · Computer Science 2025-10-17 Hugues Randriambololona

We propose variations of the class of hidden monomial cryptosystems in order to make it resistant to all known attacks. We use identities built upon a single bivariate polynomial equation with coefficients in a finite field. Indeed, it can…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

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 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

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

Post-Quantum cryptography is about to substitute current cryptographic schemes as being resilient in attacks from quantum computers. McEleiece and Bit Flip Key Encapsulation (BIKE) are two delight representatives based on coding theory…

Cryptography and Security · Computer Science 2026-05-19 Konstantinos Spalas

We present a polynomial time structural attack against the McEliece system based on Wild Goppa codes from a quadratic finite field extension. This attack uses the fact that such codes can be distinguished from random codes to compute some…

Cryptography and Security · Computer Science 2015-07-27 Alain Couvreur , Ayoub Otmani , Jean-Pierre Tillich