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The braid group is an important non commutative group, at the same time, it is an important tool in quantum field theory with better topological structure, and often used as a research carrier for anti-quantum cryptographic algorithms. This…

Cryptography and Security · Computer Science 2019-10-11 Xiaoming Chen , Weiqing You , Meng Jiao , Kejun Zhang , Shuang Qing , Zhiqiang Wang

This study presents a structured approach to evaluating vulnerabilities within quantum cryptographic protocols, focusing on the BB84 quantum key distribution method and National Institute of Standards and Technology (NIST) approved…

Cryptography and Security · Computer Science 2025-09-30 Petar Radanliev

At SAC 2013, Berger et al. first proposed the Extended Generalized Feistel Networks (EGFN) structure for the design of block ciphers with efficient diffusion. Later, based on the Type-2 EGFN, they instantiated a new lightweight block cipher…

Cryptography and Security · Computer Science 2026-03-23 Peipei Xie , Siwei Chen , Zejun Xiang , Shasha Zhang , Xiangyong Zeng

The Feistel scheme is an important structure in the block ciphers. The security of the Feistel scheme is related to distinguishability with a random permutation. In this paper, efficient quantum algorithms for distinguishing classical…

Quantum Physics · Physics 2017-02-28 Hong Wang , Zhi Ma

This paper investigates the use of quasigroups, Hadamard transforms and Number Theoretic Transforms for use in sequence randomization. This can also be used to generate hash functions for sequence encryption.

Cryptography and Security · Computer Science 2012-02-02 V. Spoorthy Ella

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

Cryptography and Security · Computer Science 2015-01-20 M. Andrecut

We show that concrete hardness assumptions about learning or cloning the output state of a random quantum circuit can be used as the foundation for secure quantum cryptography. In particular, under these assumptions we construct secure…

Quantum Physics · Physics 2025-04-23 Bill Fefferman , Soumik Ghosh , Makrand Sinha , Henry Yuen

With the tremendous benefits of internet and advanced communications, there is a serious threat from the data security perspective. There is a need of secure and robust encryption algorithm that can be implemented on each and diverse…

Cryptography and Security · Computer Science 2020-04-28 Iqtadar Hussain , Amir Anees , Temadher Alassiry Al-Maadeed , M. T. Mustafa

Cryptompress, a new 128-bit (initial) private-key cryptography algorithm is proposed. It uses a block size of at least 30 bits and increments prior key size to additional 32 bits on each unsuccessful attempt of any means, including…

Cryptography and Security · Computer Science 2016-04-08 Vivek Kumar , Sandeep Sharma

We propose modifications of known quasigroup based stream ciphers. Systems of orthogonal n-ary groupoids are used.

Group Theory · Mathematics 2011-11-01 Piroska Csorgo , Victor Shcherbacov

Quantum block encoding (QBE) is a crucial step in the development of most quantum algorithms, as it provides an embedding of a given matrix into a suitable larger unitary matrix. Historically, the development of efficient techniques for QBE…

Quantum Physics · Physics 2026-03-20 Giacomo Antonioli , Paola Boito , Gianna M. Del Corso , Margherita Porcelli

Semi-quantum cryptography involves at least one user who is semi-quantum or "classical" in nature. Such a user can only interact with the quantum channel in a very restricted way. Many semi-quantum key distribution protocols have been…

Quantum Physics · Physics 2022-11-01 Julia Guskind , Walter O. Krawec

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

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,…

Cryptography and Security · Computer Science 2026-02-17 Mohsin Khan , Elisavet Kozyri , Håvard Dagenborg

With the rapid development of quantum computing, classical cryptography systems are increasingly vulnerable to security threats, thereby highlighting the urgency of constructing architectures that are resilient to quantum computing attacks.…

Cryptography and Security · Computer Science 2026-02-13 Xiaoming Chen , Haoze Chen , Fei Xu , Meifeng Gao , Jianguo Xie , Cheng Ye , An Hua , Shichang Jiang , Jiao Zhao , Minghan Li , Feilong Li , Yajun Miao , Wei Qi

We describe an efficient quantum algorithm for computing discrete logarithms in semigroups using Shor's algorithms for period finding and discrete log as subroutines. Thus proposed cryptosystems based on the presumed hardness of discrete…

Quantum Physics · Physics 2015-01-23 Andrew M. Childs , Gábor Ivanyos

We consider actions of a group or a semigroup on a set, which generalize the setup of discrete logarithm based cryptosystems. Such cryptographic group actions have gained increasing attention recently in the context of isogeny-based…

Cryptography and Security · Computer Science 2023-01-05 Oliver W. Gnilke , Jens Zumbrägel

Quantum algorithms have demonstrated promising speed-ups over classical algorithms in the context of computational learning theory - despite the presence of noise. In this work, we give an overview of recent quantum speed-ups, revisit the…

Quantum Physics · Physics 2018-06-19 Alexander Poremba

In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes ("quasi codes"). By definition, a quasi code is a parametric approximate…

Quantum Physics · Physics 2022-02-25 Dong-Sheng Wang , Yun-Jiang Wang , Ningping Cao , Bei Zeng , Raymond Laflamme

This work is a study of DES-like ciphers where the bitwise exclusive-or (XOR) operation in the underlying Feistel network is replaced by an arbitrary group operation. We construct a two round simplified version of DES that contains all the…

Group Theory · Mathematics 2012-06-05 Liljana Babinkostova , Alyssa M. Bowden , Andrew M. Kimball , Kameryn J. Williams