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Post-Quantum Cryptography PQC attempts to find cryptographic protocols resistant to attacks using Shors polynomial time algorithm for numerical field problems or Grovers algorithm to find the unique input to a black-box function that…

Cryptography and Security · Computer Science 2020-08-04 Pedro Hecht

We present a cryptanalysis of a key exchange protocol based on the digital semiring. For this purpose, we find the maximal solution of a linear system over such semiring, and use the properties of circulant matrix to demonstrate that the…

Cryptography and Security · Computer Science 2025-06-18 Alvaro Otero Sanchez

In this paper we discuss generic properties of "random subgroups" of a given group G. It turns out that in many groups G (even in most exotic of them) the random subgroups have a simple algebraic structure and they "sit" inside G in a very…

Group Theory · Mathematics 2007-07-12 Alexei G. Myasnikov , Alexander Ushakov

Recently, an image encryption scheme based on chaotic standard and logistic maps was proposed by Patidar et al. It was later reported by Rhouma et al. that an equivalent secret key can be reconstructed with only one known/chosen-plaintext…

Cryptography and Security · Computer Science 2009-12-21 Chengqing Li , Shujun Li , Kwok-Tung Lo

In the papers by Alvarez et al. and Pathak and Sanghi a non-commutative based public key exchange is described. A similiar version of it has also been patented (US7184551). In this paper we present a polynomial time attack that breaks the…

Information Theory · Computer Science 2019-02-13 Giacomo Micheli

A system is offered for imitation resistant transmitting of encrypted information in wireless communication networks on the basis of redundant residue polynomial codes. The particular feature of this solution is complexing of methods for…

Cryptography and Security · Computer Science 2018-09-10 Dmitry Samoylenko , Mikhail Eremeev , Oleg Finko , Sergey Dichenko

Analyzing the security of cryptosystems under attacks based on the malicious modification of memory registers is a research topic of high importance. This type of attacks may affect the randomness of the secret parameters by forcing a…

Cryptography and Security · Computer Science 2017-12-29 Domingo Gomez-Perez , Guénaël Renault

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2019-04-23 P. Hecht

We present a key recovery attack against Y. Wang's Random Linear Code Encryption (RLCE) scheme recently submitted to the NIST call for post-quantum cryptography. This attack recovers the secret key for all the short key parameters proposed…

Cryptography and Security · Computer Science 2018-05-30 Alain Couvreur , Matthieu Lequesne , Jean-Pierre Tillich

The Rank Decoding problem (RD) is at the core of rank-based cryptography. This problem can also be seen as a structured version of MinRank, which is ubiquitous in multivariate cryptography. Recently, \cite{BBBGNRT20,BBCGPSTV20} proposed…

Cryptography and Security · Computer Science 2023-06-16 Magali Bardet , Pierre Briaud , Maxime Bros , Philippe Gaborit , Jean-Pierre Tillich

The security of public-key cryptosystems is mostly based on number theoretic problems like factorization and the discrete logarithm. There exists an algorithm which solves these problems in polynomial time using a quantum computer. Hence,…

Information Theory · Computer Science 2015-11-30 Sven Puchinger , Sven Müelich , Karim Ishak , Martin Bossert

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

Deep Neural Network classifiers are vulnerable to adversarial attack, where an imperceptible perturbation could result in misclassification. However, the vulnerability of DNN-based image ranking systems remains under-explored. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Mo Zhou , Le Wang , Zhenxing Niu , Qilin Zhang , Nanning Zheng , Gang Hua

The Ring Learning-With-Errors (RLWE) problem shows great promise for post-quantum cryptography and homomorphic encryption. We describe a new attack on the non-dual search RLWE problem with small error widths, using ring homomorphisms to…

Cryptography and Security · Computer Science 2017-10-11 Hao Chen , Kristin Lauter , Katherine E. Stange

The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alternant/Goppa codes with a non trivial automorphism group. Such…

Information Theory · Computer Science 2014-05-21 Jean-Charles Faugère , Ayoub Otmani , Ludovic Perret , Frédéric de Portzamparc , Jean-Pierre Tillich

In this article, we study polymatroids that are representable by means of linear restricted rank-metric codes, namely, by subspaces of the space of alternating, symmetric, or Hermitian square matrices endowed with the rank metric. More…

Combinatorics · Mathematics 2026-02-20 Eimear Byrne , Giovanni Longobardi , and Rocco Trombetti

Deep Neural Networks are vulnerable to Trojan (or backdoor) attacks. Reverse-engineering methods can reconstruct the trigger and thus identify affected models. Existing reverse-engineering methods only consider input space constraints,…

Cryptography and Security · Computer Science 2022-10-28 Zhenting Wang , Kai Mei , Hailun Ding , Juan Zhai , Shiqing Ma

We study the problem of obtaining efficient, deterministic, black-box polynomial identity testing algorithms for depth-3 set-multilinear circuits (over arbitrary fields). This class of circuits has an efficient, deterministic, white-box…

Computational Complexity · Computer Science 2012-12-03 Michael A. Forbes , Amir Shpilka

We consider a quantum polynomial-time algorithm which solves the discrete logarithm problem for points on elliptic curves over $GF(2^m)$. We improve over earlier algorithms by constructing an efficient circuit for multiplying elements of…

Quantum Physics · Physics 2009-12-18 Donny Cheung , Dmitri Maslov , Jimson Mathew , Dhiraj K. Pradhan

We study generalized covering radii, a fundamental property of linear codes that characterizes the trade-off between storage, latency, and access in linear data-query protocols such as PIR. We prove lower and upper bounds on the generalized…

Information Theory · Computer Science 2021-07-22 Dor Elimelech , Hengjia Wei , Moshe Schwartz
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