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Differential cryptanalysis is one of the most popular methods in attacking block ciphers. However, there still some limitations in traditional differential cryptanalysis. On the other hand, researches of quantum algorithms have made great…

Quantum Physics · Physics 2015-12-01 Hong-Wei Li , Li Yang

Due to implementation constraints the XOR operation is widely used in order to combine plaintext and key bit-strings in secret-key block ciphers. This choice directly induces the classical version of the differential attack by the use of…

Discrete Mathematics · Computer Science 2011-01-14 Laurent Poinsot

Civino et al. (2019) have shown how some diffusion layers can expose a Substitution-Permutation Network to vulnerability from differential cryptanalysis when employing alternative operations coming from groups isomorphic to the translation…

Cryptography and Security · Computer Science 2025-10-30 Marco Calderini , Roberto Civino , Riccardo Invernizzi

In a XOR-based alternating block cipher the plaintext is masked by a sequence of layers each performing distinct actions: a highly nonlinear permutation, a linear transformation, and the bitwise key addition. When assessing resistance…

Group Theory · Mathematics 2024-04-16 Roberto Civino , Valerio Fedele

SEPAR is a lightweight cryptographic algorithm, designed to implement on resource-constrained devices especially those employed in IoT environments. Meanwhile, the mixed structure design of cipher leads to speed improvement while…

Cryptography and Security · Computer Science 2021-06-25 Arsalan Vahi , Mirkamal Mirnia

Differential cryptanalysis famously uses statistical biases in the propagation of differences in a block cipher to attack the cipher. In this paper, we investigate the existence of more general statistical biases in the differences. To this…

Cryptography and Security · Computer Science 2022-08-09 Daniele Bartoli , Lukas Kölsch , Giacomo Micheli

Due to the superiority of quantum computing, traditional cryptography is facing severe threat. This makes the security evaluation of cryptographic systems in quantum attack models significant and urgent. For symmetric ciphers, the security…

Quantum Physics · Physics 2024-07-16 Huiqin Xie , Qiqing Xia , Ke Wang , Yanjun Li , Li Yang

In this paper, we propose a quantum version of the differential cryptanalysis which offers a quadratic speedup over the existing classical one and show the quantum circuit implementing it. The quantum differential cryptanalysis is based on…

Quantum Physics · Physics 2019-01-04 Qing Zhou , Songfeng Lu , Zhigang Zhang , Jie Sun

Traditional cryptography is suffering a huge threat from the development of quantum computing. While many currently used public-key cryptosystems would be broken by Shor's algorithm, the effect of quantum computing on symmetric ones is…

Quantum Physics · Physics 2018-07-24 Huiqin Xie , Li Yang

EFRST20, the notion of $c$-differentials was introduced as a potential expansion of differential cryptanalysis against block ciphers utilizing substitution boxes. Drawing inspiration from the technique of higher order differential…

Information Theory · Computer Science 2021-11-09 Aaron Geary , Marco Calderini , Constanza Riera , Pantelimon Stanica

We formally study iterated block ciphers that alternate between two sequences of independent and identically distributed (i.i.d.) rounds. It is demonstrated that, in some cases the effect of alternating increases security, while in other…

Cryptography and Security · Computer Science 2013-09-12 John O. Pliam

Facing the worldwide steady progress in building quantum computers, it is crucial for cryptographic community to design quantum-safe cryptographic primitives. To achieve this, we need to investigate the capability of cryptographic analysis…

Quantum Physics · Physics 2024-07-23 Huiqin Xie , Li Yang

Traditional cryptography is facing great challenges with the development of quantum computing. Not only public-key cryptography, the applications of quantum algorithms to symmetric cryptanalysis has also drawn more and more attention. In…

Quantum Physics · Physics 2021-11-02 Huiqin Xie , Li Yang

Quantum cryptanalysis is essential for evaluating the security of cryptographic systems against the threat of quantum computing. Recently, Shi {\it et al.} introduced a dedicated quantum attack on block cipher constructions based on…

Quantum Physics · Physics 2025-11-17 Xiao-Fan Zhen , Zhen-Qiang Li , Jia-Cheng Fan , Su-Juan Qin , Fei Gao

Differential testing to solve the oracle problem has been applied in many scenarios where multiple supposedly equivalent implementations exist, such as multiple implementations of a C compiler. If the multiple systems disagree on the output…

Software Engineering · Computer Science 2017-06-29 Christian Kästner

Context: Differential testing is a useful approach that uses different implementations of the same algorithms and compares the results for software testing. In recent years, this approach was successfully used for test campaigns of deep…

Software Engineering · Computer Science 2022-07-26 Steffen Herbold , Steffen Tunkel

Block ciphers are in widespread use since the 1970s. Their iterated structure is prone to numerous round invariant attacks for example in Linear Cryptanalysis (LC). The next step is to look at non-linear polynomial invariants cf.…

Cryptography and Security · Computer Science 2020-02-11 Nicolas T. Courtois

In this paper, we study applications of Bernstein-Vazirani algorithm and present several new methods to attack block ciphers. Specifically, we first present a quantum algorithm for finding the linear structures of a function. Based on it,…

Quantum Physics · Physics 2018-07-17 Huiqin Xie , Li Yang

By allowing users to obscure their transactions via including "mixins" (chaff coins), ring signature schemes have been widely used to protect a sender's identity of a transaction in privacy-preserving blockchain systems, like Monero and…

Cryptography and Security · Computer Science 2020-03-17 Wangze Ni , Han Wu , Peng Cheng , Lei Chen , Xuemin Lin , Lei Chen , Xin Lai , Xiao Zhang

Functions with low differential uniformity can be used in a block cipher as S-boxes since they have good resistance to differential attacks. In this paper we consider piecewise constructions for permutations with low differential…

Information Theory · Computer Science 2020-09-22 Marco Calderini
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