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The cryptosystem RSA is a very popular cryptosystem in the study of Cryptography. In this article, we explore how the idea of a primitive mth root of unity in a ring can be integrated into the Discrete Fourier Transform, leading to the…

Cryptography and Security · Computer Science 2024-05-21 A. Telveenus

This article describes a post-quantum multirecipient symmetric cryptosystem whose security is based on the hardness of the LWE problem. In this scheme a single sender encrypts multiple messages for multiple recipients generating a single…

Cryptography and Security · Computer Science 2025-06-09 Saikat Gope , Srinivasan Krishnaswamy , Chayan Bhawal

The spectacular success of Bitcoin and Blockchain Technology in recent years has provided enough evidence that a widespread adoption of a common cryptocurrency system is not merely a distant vision, but a scenario that might come true in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-30 Adam Gągol , Damian Leśniak , Damian Straszak , Michał Świętek

Following a sequence of hardware designs for a fully homomorphic crypto-processor - a general purpose processor that natively runs encrypted machine code on encrypted data in registers and memory, resulting in encrypted machine states -…

Cryptography and Security · Computer Science 2018-09-06 Peter Breuer , Jonathan Bowen

This paper introduces a new public key cryptosystem based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli) and the discrete logarithm problem. These two hard…

Cryptography and Security · Computer Science 2012-09-25 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh , Djiby Sow

We bring in here a novel algebraic approach for attacking the McEliece cryptosystem. It consists in introducing a subspace of matrices representing quadratic forms. Those are associated with quadratic relationships for the component-wise…

Cryptography and Security · Computer Science 2023-08-25 Alain Couvreur , Rocco Mora , Jean-Pierre Tillich

Most cryptosystems are defined over finite algebraic structures where arithmetic operations are performed modulo natural numbers. This applies to private key as well as to public key ciphers. No secure cryptosystems defined over the field…

Cryptography and Security · Computer Science 2016-02-16 Youssef Hassoun

A symmetric encryption method based on properties of quasicrystals is proposed. The advantages of the cipher are strict aperiodicity and everywhere discontinuous property as well as the speed of computation, simplicity of implementation and…

Cryptography and Security · Computer Science 2007-10-02 Maryna Nesterenko , Jiri Patera , Dmytro Zhavrotskyj

The rapid development of computer technology will be the whole world as a whole, the widespread application of instant messaging technology to bring great convenience to people's lives, while privacy protection has become a more significant…

Cryptography and Security · Computer Science 2019-10-11 Weiqing You , Guozhen Shi , Xiaoming Chen , Jian Qi , Chuang Qing

The Byzantine Agreement (BA) problem is a fundamental challenge in distributed systems, focusing on achieving reaching an agreement among parties, some of which may behave maliciously. With the rise of cryptocurrencies, there has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-08 Nasit S Sony , Xianzhong Ding , Mukesh Singhal

This paper proposes a new signature scheme based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli, IFP) and the discrete logarithm problem(DLP). By combining…

Cryptography and Security · Computer Science 2012-09-24 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh

In a system that performs both encryption and lossy compression, the conventional way is to compress first and then encrypt the compressed data. This separation approach proves to be optimal. In certain applications where sensitive…

Information Theory · Computer Science 2014-08-26 Wei Kang , Nan Liu

In a distributed coin-flipping protocol, Blum [ACM Transactions on Computer Systems '83], the parties try to output a common (close to) uniform bit, even when some adversarially chosen parties try to bias the common output. In an adaptively…

Cryptography and Security · Computer Science 2024-10-29 Iftach Haitner , Yonatan Karidi-Heller

We consider two basic algorithmic problems concerning tuples of (skew-)symmetric matrices. The first problem asks to decide, given two tuples of (skew-)symmetric matrices $(B_1, \dots, B_m)$ and $(C_1, \dots, C_m)$, whether there exists an…

Data Structures and Algorithms · Computer Science 2019-02-08 Gábor Ivanyos , Youming Qiao

The celebrated result of Fischer, Lynch and Paterson is the fundamental lower bound for asynchronous fault tolerant computation: any 1-crash resilient asynchronous agreement protocol must have some (possibly measure zero) probability of not…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Ittai Abraham , Danny Dolev , Gilad Stern

Randomisation is a critical tool in designing distributed systems. The common coin primitive, enabling the system members to agree on an unpredictable random number, has proven to be particularly useful. We observe, however, that it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-25 Luciano Freitas , Petr Kuznetsov , Andrei Tonkikh

In many applications one wants to identify identical subtrees of a program syntax tree. This identification should ideally be robust to alpha-renaming of the program, but no existing technique has been shown to achieve this with good…

Programming Languages · Computer Science 2021-05-07 Krzysztof Maziarz , Tom Ellis , Alan Lawrence , Andrew Fitzgibbon , Simon Peyton Jones

We theoretically propose a symmetric encryption scheme based on Restricted Boltzmann Machines that functions as a probabilistic Enigma device, encoding information in the marginal distributions of visible states while utilizing bias…

Statistical Mechanics · Physics 2025-07-24 Bin Chen , Weichao Yu

The security of the RSA cryptosystem is based on the difficulty of factoring a large number N into prime numbers p and q satisfying N=p*q . This paper presents a prime factoriaation method using D-Wave quantum computer that can threaten the…

Quantum Physics · Physics 2023-09-12 Kyungtaek Jun

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