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This paper proposes for every $n$, linear time reductions of the word and conjugacy problems on the braid groups $B_n$ to the corresponding problems on the braid monoids $B_n^+$ and moreover only using positive words representations.

群论 · 数学 2007-09-26 Serge Burckel

This paper gives the definition and property of a bit-pair shadow, and devises the three algorithms of a public key cryptoscheme called JUOAN that is based on a multivariate permutation problem and an anomalous subset product problem to…

密码学与安全 · 计算机科学 2017-05-02 Shenghui Su , Shuwang Lu , Maozhi Xu , Tao Xie

Type-two constructions abound in cryptography: adversaries for encryption and authentication schemes, if active, are modeled as algorithms having access to oracles, i.e. as second-order algorithms. But how about making cryptographic schemes…

计算机科学中的逻辑 · 计算机科学 2020-02-19 Boaz Barak , Raphaëlle Crubillé , Ugo Dal Lago

We investigate the properties of word lengths of elements from a three-reflection symmetric generating set of the dihedral group $D_n$. Specifically, we provide the upper bound $\lambda_1(D_n,S) \leq \lfloor\frac{n}{2}\rfloor + 1$ for a…

群论 · 数学 2025-09-23 Michael Allocca , Max Trimmer

Bogdanov and Lee suggested a homomorphic public-key encryption scheme based on error correcting codes. The underlying public code is a modified Reed-Solomon code obtained from inserting a zero submatrix in the Vandermonde generating matrix…

密码学与安全 · 计算机科学 2012-04-02 Valérie Gauthier , Ayoub Otmani , Jean-Pierre Tillich

A new approach on cryptanalysis is proposed where the goal is to explore the fundamental limits of a specific class of attacks against a particular cryptosystem. As a first step, the approach is applied on ABSG, which is an LFSR-based…

密码学与安全 · 计算机科学 2008-05-05 Yucel Altug , M. Kivanc Mihcak

We present a new attack against cryptosystems based on the rank metric. Our attack allows us to cryptanalyze two variants of the GPT cryptosystem which were designed to resist the attack of Overbeck.

密码学与安全 · 计算机科学 2016-01-05 Anna-Lena Horlemann-Trautmann , Kyle Marshall , Joachim Rosenthal

We develop matrix cryptography based on linear recurrent sequences of any order that allows securing encryption against brute force and chosen plaintext attacks. In particular, we solve the problem of generalizing error detection and…

密码学与安全 · 计算机科学 2022-06-24 Sergiy Koshkin , Daniel Rodriguez

In this expository article we present an overview of the current state-of-the-art in post-quantum group-based cryptography. We describe several families of groups that have been proposed as platforms, with special emphasis in polycyclic…

密码学与安全 · 计算机科学 2023-01-18 Delaram Kahrobaei , Ramón Flores , Marialaura Noce

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…

密码学与安全 · 计算机科学 2015-07-27 Alain Couvreur , Ayoub Otmani , Jean-Pierre Tillich

An insightful view into the design of traitor tracing codes should necessarily consider the worst case attacks that the colluders can lead. This paper takes an information-theoretic point of view where the worst case attack is defined as…

信息论 · 计算机科学 2009-08-18 Teddy Furon , Luis Perez-Freire

We consider the recent relativistic bit commitment protocol introduced by Lunghi et al. [Phys. Rev. Lett. 2015] and present a new security analysis against classical attacks. In particular, while the initial complexity of the protocol…

量子物理 · 物理学 2015-12-23 Kaushik Chakraborty , André Chailloux , Anthony Leverrier

In this paper a secret sharing scheme based on the word problem in groups is introduced. The security of the scheme and possible variations are discussed in section 2. The article concludes with the suggestion of two categories of platform…

密码学与安全 · 计算机科学 2010-09-02 Dimitrios Panagopoulos

Modern information communications use cryptography to keep the contents of communications confidential. RSA (Rivest-Shamir-Adleman) cryptography and elliptic curve cryptography, which are public-key cryptosystems, are widely used…

密码学与安全 · 计算机科学 2023-10-09 Yuri Lucas Direbieski , Hiroki Tanioka , Kenji Matsuura , Hironori Takeuchi , Masahiko Sano , Tetsushi Ueta

At CCS 2015 Naveed et al. presented first attacks on efficiently searchable encryption, such as deterministic and order-preserving encryption. These plaintext guessing attacks have been further improved in subsequent work, e.g. by Grubbs et…

密码学与安全 · 计算机科学 2017-09-28 Florian Kerschbaum , Anselme Tueno

We propose the new rank-metric code-based cryptosystem LIGA which is based on the hardness of list decoding and interleaved decoding of Gabidulin codes. LIGA is an improved variant of the Faure-Loidreau (FL) system, which was broken in a…

密码学与安全 · 计算机科学 2020-05-19 Julian Renner , Sven Puchinger , Antonia Wachter-Zeh

Unclonable encryption, introduced by Broadbent and Lord (TQC'20), is an encryption scheme with the following attractive feature: given a ciphertext, an adversary cannot create two ciphertexts both of which decrypt to the same message as the…

密码学与安全 · 计算机科学 2021-09-16 Prabhanjan Ananth , Fatih Kaleoglu

The Precision Time Protocol (PTP) aims to provide highly accurate and synchronised clocks. Its defining standard, IEEE 1588, has a security section ("Annex K") which relies on symmetric-key secrecy. In this paper we present a detailed…

密码学与安全 · 计算机科学 2016-05-26 Eyal Itkin , Avishai Wool

In this paper we describe an algorithm for predicting the websites at risk in a long range hacking activity, while jointly inferring the provenance and evolution of vulnerabilities on websites over continuous time. Specifically, we use…

应用统计 · 统计学 2016-11-23 Ziqi Liu , Alexander J. Smola , Kyle Soska , Yu-Xiang Wang , Qinghua Zheng

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…

密码学与安全 · 计算机科学 2024-01-09 Oded Regev
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