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Related papers: Key Reduction of McEliece's Cryptosystem Using Lis…

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We propose a new method for retrieving the algebraic structure of a generic alternant code given an arbitrary generator matrix, provided certain conditions are met. We then discuss how this challenges the security of the McEliece…

Information Theory · Computer Science 2025-05-16 Axel Lemoine

Key Encapsulation Mechanisms (KEMs) are a set of cryptographic techniques that are designed to provide symmetric encryption key using asymmetric mechanism (public key). In the current study, we concentrate on design and analysis of key…

Cryptography and Security · Computer Science 2024-12-09 Reza Hooshmand

Most of the codes that have an algebraic decoding algorithm are derived from the Reed Solomon codes. They are obtained by taking equivalent codes, for example the generalized Reed Solomon codes, or by using the so-called subfield subcode…

Cryptography and Security · Computer Science 2017-04-27 Thierry P. Berger , Cheikh Thiécoumba Gueye , Jean Belo Klamti

In this paper we study reaction and timing attacks against cryptosystems based on sparse parity-check codes, which encompass low-density parity-check (LDPC) codes and moderate-density parity-check (MDPC) codes. We show that the feasibility…

Information Theory · Computer Science 2019-04-30 Paolo Santini , Massimo Battaglioni , Franco Chiaraluce , Marco Baldi

A scheme is presented based on numbers that represent a manifold in $d$ dimensions for generalizations of textbook cryptosystems. The interlocking or intersection of geometries, requiring the addition of a series of integers $q_j$, can be…

General Physics · Physics 2007-05-23 Gordon Chalmers

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

Data breaches-mass leakage of stored information-are a major security concern. Encryption can provide confidentiality, but encryption depends on a key which, if compromised, allows the attacker to decrypt everything, effectively instantly.…

Cryptography and Security · Computer Science 2020-10-15 Moe Sabry , Reza Samavi , Douglas Stebila

In this paper, we present a framework for generic decoding of convolutional codes, which allows us to do cryptanalysis of code-based systems that use convolutional codes. We then apply this framework to information set decoding, study…

Information Theory · Computer Science 2025-06-03 Niklas Gassner , Julia Lieb , Abhinaba Mazumder , Michael Schaller

In 2021, the $p$-adic signature scheme and public-key encryption cryptosystem were introduced. These schemes have good efficiency but are shown to be not secure. The attack succeeds because the extension fields used in these schemes are…

Number Theory · Mathematics 2025-11-17 Chi Zhang , Yingpu Deng

This paper describes the security weakness of a recently proposed improved chaotic encryption method based on the modulation of a signal generated by a chaotic system with an appropriately chosen scalar signal. The aim of the improvement is…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , F. Montoya , M. Romera , G. Pastor

Our main result is a reduction from worst-case lattice problems such as GapSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learning from parity with error' problem to higher moduli. It can…

Cryptography and Security · Computer Science 2024-01-09 Oded Regev

Quantum key distribution with decoherence-free subspaces has been proposed to overcome the collective noise to the polarization modes of photons flying in quantum channel. Prototype of this scheme have also been achieved with…

Quantum Physics · Physics 2008-06-19 Zhen-Qiang Yin , Yi-Bo Zhao , Zheng-Wei Zhou , Zheng-Fu Han , Guang-Can Guo

We propose a quantum key distribution scheme that combines a biased basis choice with the decoy-state method. In this scheme, Alice sends all signal states in the $Z$ basis and decoy states in the $X$ and $Z$ basis with certain…

Quantum Physics · Physics 2013-08-20 Zhengchao Wei , Weilong Wang , Zhen Zhang , Ming Gao , Zhi Ma , Xiongfeng Ma

Side-channel analysis attacks, especially horizontal DPA and DEMA attacks, are significant threats for cryptographic designs. In this paper we investigate to which extend different multiplication formulae and randomization of the field…

Cryptography and Security · Computer Science 2022-01-10 Ievgen Kabin , Zoya Dyka , Dan Kreiser , Peter Langendoerfer

We introduce a new rank-based key encapsulation mechanism (KEM) with public key and ciphertext sizes around 3.5 Kbytes each, for 128 bits of security, without using ideal structures. Such structures allow to compress objects, but give…

Cryptography and Security · Computer Science 2022-06-27 Carlos Aguilar-Melchor , Nicolas Aragon , Victor Dyseryn , Philippe Gaborit , Gilles Zémor

We give new constructions of two classes of algebraic code families which are efficiently list decodable with small output list size from a fraction $1-R-\epsilon$ of adversarial errors where $R$ is the rate of the code, for any desired…

Computational Complexity · Computer Science 2020-11-17 Venkatesan Guruswami , Chaoping Xing

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

Group Theory · Mathematics 2017-09-20 V. A. Roman'kov

In this work, we study the problem of list decoding of insertions and deletions. We present a Johnson-type upper bound on the maximum list size. The bound is meaningful only when insertions occur. Our bound implies that there are binary…

Information Theory · Computer Science 2020-02-18 Tomohiro Hayashi , Kenji Yasunaga

In practical decoy-state quantum key distribution, the raw key length is finite. Thus, deviation of the estimated single photon yield and single photon error rate from their respective true values due to finite sample size can seriously…

Quantum Physics · Physics 2018-06-14 H. F. Chau

This paper analyzes the security of a recent cryptosystem based on the ergodicity property of chaotic maps. It is shown how to obtain the secret key using a chosen-ciphertext attack. Some other design weaknesses are also shown.

Chaotic Dynamics · Physics 2009-11-13 David Arroyo , Gonzalo Alvarez , Shujun Li , Chengqing Li , Veronica Fernandez