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A block cipher can be easily broken if its encryption functions can be seen as linear maps on a small vector space. Even more so, if its round functions can be seen as linear maps on a small vector space. We show that this cannot happen for…

群论 · 数学 2019-04-26 Riccardo Aragona , Anna Rimoldi , Massimiliano Sala

This paper investigates compression of data encrypted with block ciphers, such as the Advanced Encryption Standard (AES). It is shown that such data can be feasibly compressed without knowledge of the secret key. Block ciphers operating in…

信息论 · 计算机科学 2010-09-10 Demijan Klinc , Carmit Hazay , Ashish Jagmohan , Hugo Krawczyk , Tal Rabin

Despite the wide variety of input types in machine learning, this diversity is often not fully reflected in their representations or model architectures, leading to inefficiencies throughout a model's lifecycle. This paper introduces an…

机器学习 · 计算机科学 2024-10-16 Stephane Bersier , Xinyi Chen-Lin

Sometimes it is possible to embed an algebraic trapdoor into a block cipher. Building on previous research, in this paper we investigate an especially dangerous algebraic structure, which is called a hidden sum and which is related to some…

群论 · 数学 2018-10-04 Carlo Brunetta , Marco Calderini , Massimiliano Sala

The Advanced Encryption Standard (AES) is widely recognized as the most important block cipher in common use nowadays. This high assurance in AES is given by its resistance to ten years of extensive cryptanalysis, that has shown no…

信息论 · 计算机科学 2010-11-12 Anna Rimoldi , Massimiliano Sala , Enrico Bertolazzi

Although recent advances of blockchain systems, notably in the form of cryptocurrency, have drawn tremendous interests from both researchers and practitioners, limited studies existed toward the theoretical foundation of blockchains. This…

分布式、并行与集群计算 · 计算机科学 2020-02-17 Dongfang Zhao

In the present day, AES is one the most widely used and most secure Encryption Systems prevailing. So, naturally lots of research work is going on to mount a significant attack on AES. Many different forms of Linear and differential…

密码学与安全 · 计算机科学 2017-08-16 Riddhi Ghosal

We construct cryptographic trilinear maps that involve simple, non-ordinary abelian varieties over finite fields. In addition to the discrete logarithm problems on the abelian varieties, the cryptographic strength of the trilinear maps is…

密码学与安全 · 计算机科学 2018-05-09 Ming-Deh A. Huang

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…

密码学与安全 · 计算机科学 2020-08-04 Pedro Hecht

Recently, a chaos-based image encryption algorithm using alternate structure (IEAS) was proposed. This paper focuses on differential cryptanalysis of the algorithm and finds that some properties of IEAS can support a differential attack to…

密码学与安全 · 计算机科学 2011-12-22 Yu Zhang , Chengqing Li , Kwok-Wo Wong , Shi Shu , Guanrong Chen

One of the major open problems in symmetric cryptanalysis is to discover new specif i c types of invariant properties which can hold for a larger number of rounds of a block cipher. We have Generalised Linear Cryptanalysis (GLC) and…

密码学与安全 · 计算机科学 2019-02-08 Nicolas T. Courtois , Marios Georgiou

The emergence of small computing devices and the integration of processing units into everyday objects has made lightweight cryptography an essential part of the security landscape. Conventional cryptographic algorithms such as AES, RSA,…

密码学与安全 · 计算机科学 2026-02-17 Mohsin Khan , Elisavet Kozyri , Håvard Dagenborg

Power analysis poses a significant threat to the security of cryptographic algorithms, as it can be leveraged to recover secret keys. While various software-based countermeasures exist to mitigate this non-invasive attack, they often…

密码学与安全 · 计算机科学 2023-10-25 Seungkwang Lee , Jeong-Nyeo Kim

Cryptographic systems are derived using units in group rings. Combinations of types of units in group rings give units not of any particular type. This includes cases of taking powers of units and products of such powers and adds the…

群论 · 数学 2020-04-14 Barry Hurley , Ted Hurley

We develop a generalized framework for invariant-based cryptography by extending the use of structural identities as core cryptographic mechanisms. Starting from a previously introduced scheme where a secret is encoded via a four-point…

密码学与安全 · 计算机科学 2025-05-14 Stanislav Semenov

Recently, Pareek et al. proposed a symmetric key block cipher using multiple one-dimensional chaotic maps. This paper reports some new findings on the security problems of this kind of chaotic cipher: 1) a number of weak keys exists; 2)…

混沌动力学 · 物理学 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo

Semiconstrained systems were recently suggested as a generalization of constrained systems, commonly used in communication and data-storage applications that require certain offending subsequences be avoided. In an attempt to apply…

信息论 · 计算机科学 2016-10-25 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

Block-encodings are ubiquitous in quantum computing as a way to represent data within a unitary operator. While several unstructured methods are applicable to arbitrary data, these techniques are burdened by hidden costs and poor accuracy.…

量子物理 · 物理学 2025-09-25 Parker Kuklinski , Benjamin Rempfer , Justin Elenewski , Kevin Obenland

In this paper, we show that the Advanced Encryption Standard (AES) cryptosystem can be used as an error-correcting code to obtain reliability over noisy communication and data systems. Moreover, we characterize a family of computational…

信息论 · 计算机科学 2022-09-12 Alejandro Cohen , Rafael G. L. D'Oliveira , Ken R. Duffy , Jongchan Woo , Muriel Médard

In recent years, a growing number of cryptosystems based on chaos have been proposed, many of them fundamentally flawed by a lack of robustness and security. This paper describes the security weaknesses of a recently proposed cryptographic…

混沌动力学 · 物理学 2007-10-30 Gonzalo Alvarez , Shujun Li
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