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A large class of MDS linear codes is constructed. These codes are endowed with an efficient decoding algorithm. Both the definition of the codes and the design of their decoding algorithm only require from Linear Algebra methods, making…

Information Theory · Computer Science 2020-06-02 José Gómez-Torrecillas , Gabriel Navarro , José Patricio Sánchez-Hernández

In this paper we model a class of stream and block ciphers as systems of (ordinary) explicit difference equations over a finite field. We call this class "difference ciphers" and we show that ciphers of application interest, as for example…

Cryptography and Security · Computer Science 2022-01-10 Roberto La Scala , Sharwan K. Tiwari

We cryptanalyse here two variants of the McEliece cryptosystem based on quasi-cyclic codes. Both aim at reducing the key size by restricting the public and secret generator matrices to be in quasi-cyclic form. The first variant considers…

Cryptography and Security · Computer Science 2010-01-04 Ayoub Otmani , Jean-Pierre Tillich , Leonard Dallot

Recent years have seen an increasing involvement of Deep Learning in the cryptanalysis of various ciphers. The present study is inspired by past works on differential distinguishers, to develop a Deep Neural Network-based differential…

Cryptography and Security · Computer Science 2021-12-10 Aayush Jain , Varun Kohli , Girish Mishra

We improve the flexibility in designing access structures of quantum stabilizer-based secret sharing schemes for classical secrets, by introducing message randomization in their encoding procedures. We generalize the Gilbert-Varshamov bound…

Quantum Physics · Physics 2020-09-16 Ryutaroh Matsumoto

In symmetric key cryptography the sender as well as the receiver possess a common key. Asymmetric key cryptography involves generation of two distinct keys which are used for encryption and decryption correspondingly. The sender converts…

Cryptography and Security · Computer Science 2016-03-25 Akashdeep Bhardwaj , GVB Subrahmanyam , Vinay Avasthi , Hanumat Sastry

In this paper, we present a deterministic attack on (EC)DSA signature scheme, providing that several signatures are known such that the corresponding ephemeral keys share a certain amount of bits without knowing their value. By eliminating…

Cryptography and Security · Computer Science 2023-07-11 M. Adamoudis , K. A. Draziotis , D. Poulakis

In this note, we describe a probabilistic attack on public key cryptosystems based on the word/conjugacy problems for finitely presented groups of the type proposed recently by Anshel, Anshel and Goldfeld. In such a scheme, one makes use of…

Cryptography and Security · Computer Science 2007-05-23 James Hughes , Allen Tannenbaum

The Discrete Logarithm Problem is well-known among cryptographers, for its computational hardness that grants security to some of the most commonly used cryptosystems these days. Still, many of these are limited to a small number of…

Cryptography and Security · Computer Science 2010-02-19 Martin Schaffer , Stefan Rass

We present a generalisation of Twisted Reed-Solomon codes containing a new large class of MDS codes. We prove that the code class contains a large subfamily that is closed under duality. Furthermore, we study the Schur squares of the new…

Information Theory · Computer Science 2018-05-14 Peter Beelen , Martin Bossert , Sven Puchinger , Johan Rosenkilde

In CRYPTO'19, Gohr proposed a new cryptanalysis strategy using machine learning algorithms. Combining the differential-neural distinguisher with a differential path and integrating the advanced key recovery procedure, Gohr achieved a…

Cryptography and Security · Computer Science 2022-04-14 Liu Zhang , Zilong Wang

Interleaved Reed-Solomon codes admit efficient decoding algorithms which correct burst errors far beyond half the minimum distance in the random errors regime, e.g., by computing a common solution to the Key Equation for each Reed-Solomon…

There are several public key establishment protocols as well as complete public key cryptosystems based on allegedly hard problems from combinatorial (semi)group theory known by now. Most of these problems are search problems, i.e., they…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

We propose and analyze an interleaved variant of Loidreau's rank-metric cryptosystem based on rank multipliers. We analyze and adapt several attacks on the system, propose design rules, and study weak keys. Finding secure instances requires…

Information Theory · Computer Science 2019-08-01 Julian Renner , Sven Puchinger , Antonia Wachter-Zeh

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

Lifted Reed-Solomon codes are a natural affine-invariant family of error-correcting codes which generalize Reed-Muller codes. They were known to have efficient local-testing and local-decoding algorithms (comparable to the known algorithms…

Information Theory · Computer Science 2017-08-09 Alan Guo , Swastik Kopparty

Higher order differentiation was introduced in a cryptographic context by Lai. Several attacks can be viewed in the context of higher order differentiations, amongst them the cube attack and the AIDA attack. All of the above have been…

Cryptography and Security · Computer Science 2023-06-22 Ana Sălăgean , Matei Mandache-Sălăgean , Richard Winter , Raphael C. -W. Phan

Binary code similarity detection (BCSD) serves as a fundamental technique for various software engineering tasks, e.g., vulnerability detection and classification. Attacks against such models have therefore drawn extensive attention, aiming…

Cryptography and Security · Computer Science 2025-06-09 Mingjie Chen , Tiancheng Zhu , Mingxue Zhang , Yiling He , Minghao Lin , Penghui Li , Kui Ren

We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups. In particular we describe a scheme that would appear…

Group Theory · Mathematics 2019-02-18 James Renshaw

We propose and experimentally demonstrate a scheme to render the detection apparatus of a Quantum Key Distribution system immune to the main classes of hacking attacks in which the eavesdropper explores the back-door opened by the…