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In this paper, we describe a new Niederreiter cryptosystem based on quasi-cyclic $\frac{m-1}{m}$ codes that is quantum-secure. This new cryptosystem has good transmission rate compared to the one using binary Goppa codes and uses smaller…

Cryptography and Security · Computer Science 2020-05-22 Upendra Kapshikar , Ayan Mahalanobis

We propose a new, efficient non-deterministic decoding algorithm for square-free Goppa codes over $\F_p$ for any prime $p$. If the code in question has degree $t$ and the average distance to the closest codeword is at least $(4/p)t + 1$,…

Cryptography and Security · Computer Science 2012-12-19 Paulo S. L. M. Barreto , Rafael Misoczki , Richard Lindner

McEliece and Niederreiter cryptosystems are robust and versatile cryptosystems. These cryptosystems work with many linear error-correcting codes. They are popular these days because they can be quantum-secure. In this paper, we study the…

Cryptography and Security · Computer Science 2021-11-09 Upendra Kapshikar , Ayan Mahalanobis

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

Internet of Things connects lots of small constrained devices to the Internet. As in any other environment, communication security is important and cryptographic algorithms are one of many elements that we use in order to keep messages…

Cryptography and Security · Computer Science 2017-02-28 Jakub Breier , Wei He

This paper presents a key recovery attack on the cryptosystem proposed by Lau and Tan in a talk at ACISP 2018. The Lau-Tan cryptosystem uses Gabidulin codes as the underlying decodable code. To hide the algebraic structure of Gabidulin…

Information Theory · Computer Science 2022-01-07 Wenshuo Guo , Fang-Wei Fu

A class of linear codes that extends classic Goppa codes to a non-commutative context is defined. An efficient decoding algorithm, based on the solution of a non-commutative key equation, is designed. We show how the parameters of these…

Information Theory · Computer Science 2022-07-29 José Gómez-Torrecillas , F. J. Lobillo , Gabriel Navarro

We analyze the security and reliability of a recently proposed class of public-key cryptosystems against attacks by unauthorized parties who have acquired partial knowledge of one or more of the private key components and/or of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , D. Saad , Y. Kabashima

This article defines multi-twisted Goppa (MTG) codes as subfield subcodes of duals of multi-twisted Reed-Solomon (MTRS) codes and examines their properties. We show that if $t$ is the degree of the MTG polynomial defining an MTG code, its…

Information Theory · Computer Science 2026-02-19 Harshdeep Singh , Anuj Kumar Bhagat , Ritumoni Sarma , Indivar Gupta

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

A recent paper by Coggia and Couvreur presents a polynomial time key-recovery attack on Loidreau's encryption scheme, based on rank-metric codes, for some parameters. The secret matrix component of Loidreau's scheme is chosen over a…

Information Theory · Computer Science 2021-11-29 Anirban Ghatak

ITRU cryptosystem is a public key cryptosystem and one of the known variants of NTRU cryptosystem. Instead of working in a truncated polynomial ring, ITRU cryptosystem is based on the ring of integers. The authors claimed that ITRU has…

Cryptography and Security · Computer Science 2020-05-20 Hashim H. R. , Molnár A. , Tengely Sz

Providing closed-form estimates of the decoding failure rate of iterative decoders for low- and moderate-density binary parity-check codes has attracted significant interest in the research community. Recently, interest in this topic has…

Cryptography and Security · Computer Science 2026-02-02 Alessandro Annechini , Alessandro Barenghi , Gerardo Pelosi

This work presents a new code-based key encapsulation mechanism (KEM) called LEDAkem. It is built on the Niederreiter cryptosystem and relies on quasi-cyclic low-density parity-check codes as secret codes, providing high decoding speeds and…

Cryptography and Security · Computer Science 2018-01-29 Marco Baldi , Alessandro Barenghi , Franco Chiaraluce , Gerardo Pelosi , Paolo Santini

This paper proposes an efficient secret key cryptosystem based on polar codes over Binary Erasure Channel. We introduce a method, for the first time to our knowledge, to hide the generator matrix of the polar codes from an attacker. In…

Cryptography and Security · Computer Science 2013-08-02 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

In this paper we show that in the case where the public-key can be distinguished from a random code in Loidreau's encryption scheme, then Coggia-Couvreur attack can be extended to recover an equivalent secret key. This attack can be…

Cryptography and Security · Computer Science 2021-12-24 Pierre Loidreau , Ba-Duc Pham

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

The McEliece scheme is a generic frame which allows to use any error correcting code of which there exists an efficient decoding algorithm to design an encryption scheme by hiding the generator matrix code. Similarly, the Niederreiter frame…

Cryptography and Security · Computer Science 2024-10-18 Nicolas Aragon , Alain Couvreur , Victor Dyseryn , Philippe Gaborit , Adrien Vinçotte

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

In this paper, we propose a known-plaintext attack (KPA) method based on deep learning for traditional chaotic encryption scheme. We employ the convolutional neural network to learn the operation mechanism of chaotic cryptosystem, and…

Cryptography and Security · Computer Science 2021-03-10 Fusen Wang , Jun Sang , Qi Liu , Chunlin Huang , Jinghan Tan