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Digital circuits based on residue number systems have been considered to produce a pseudo-random behavior. The present work is an initial step towards the complete implementation of those systems for similar applications using quantum…

Quantum Physics · Physics 2025-06-03 Andrea Ceschini , Antonello Rosato , Massimo Panella

Recent results of Kaplan et al., building on previous work by Kuwakado and Morii, have shown that a wide variety of classically-secure symmetric-key cryptosystems can be completely broken by quantum chosen-plaintext attacks (qCPA). In such…

Quantum Physics · Physics 2017-10-11 Gorjan Alagic , Alexander Russell

A new cryptosystem based on the fundamental time--energy uncertainty relation is proposed. Such a cryptosystem can be implemented with both correlated photon pairs and single photon states.

Quantum Physics · Physics 2009-10-30 S. N. Molotkov , S. S. Nazin

Most currently used cryptographic tools for protecting data are based on certain computational assumptions, which makes them vulnerable with respect to technological and algorithmic developments, such as quantum computing. One existing…

Quantum Physics · Physics 2023-04-28 Aleksey K. Fedorov

We survey models and algorithms for stream verification.

Data Structures and Algorithms · Computer Science 2015-07-16 Justin Thaler

In the last two decades, there has been much effort in finding secure protocols for two-party cryptographic tasks. It has since been discovered that even with quantum mechanics, many such protocols are limited in their security promises. In…

Quantum Physics · Physics 2025-01-22 Akshay Bansal , Jamie Sikora

We introduce what --if some kind of group action exists-- is a truly (information theoretically) safe cryptographic communication system: a protocol which provides \emph{zero} information to any passive adversary having full access to the…

Cryptography and Security · Computer Science 2007-05-23 Pedro Fortuny Ayuso

Quantum key distribution is one of the most fundamental cryptographic protocols. Quantum walks are important primitives for computing. In this paper we take advantage of the properties of quantum walks to design new secure quantum key…

Quantum Physics · Physics 2018-10-04 Chrysoula Vlachou , Walter Krawec , Paulo Mateus , Nikola Paunkovic , Andre Souto

We extend Rabin's cryptosystem to general number fields. We show that decryption of a random plaintext is as hard as the integer factorisation problem, provided the modulus in our scheme has been chosen carefully. We investigate the…

Cryptography and Security · Computer Science 2025-06-12 Alessandro Cobbe , Andreas Nickel , Akay Schuster

In this paper we consider several classical and novel algorithmic problems for right-angled Artin groups, some of which are closely related to graph theoretic problems, and study their computational complexity. We study these problems with…

Group Theory · Mathematics 2018-11-01 Ramón Flores , Delaram Kahrobaei , Thomas Koberda

We present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties…

Quantum Physics · Physics 2010-12-22 Adrian Keet , Ben Fortescue , Damian Markham , Barry C. Sanders

This paper presents an identity based multi-proxy multi-signcryption scheme from pairings. In this scheme a proxy signcrypter group could authorized as a proxy agent by the coopration of all members in the original signcryption group. Then…

Cryptography and Security · Computer Science 2007-05-23 Sunder Lal , Tej Singh

In this paper, we extend the ElGamal cryptosystem to the third group of units of the ring $\Z_{n}$, which we prove to be more secure than the previous extensions. We describe the arithmetic needed in the new setting. We also provide some…

Cryptography and Security · Computer Science 2025-04-22 Jana Hamza , Mohammad EL Hindi , Seifeddine Kadri , Therrar Kadri , Yahya Awad

In this survey we propose to cover the prose of post-quantum cryptography over classical cryptography. We talk about the various cryptographic methods that are being practiced to safeguard our information. The future of secure communication…

Cryptography and Security · Computer Science 2024-02-19 Pranjal , Atul Chaturvedi

A new self-synchronizing stream cipher (SSSC) is proposed based on one-way and nearest neighbor coupled integer maps. Some ideas of spatiotemporal chaos synchronization and chaotic cryptography are applied in this new SSSC system. Several…

Chaotic Dynamics · Physics 2007-05-23 Shihong Wang , Huaping Lv , Gang Hu

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…

Logic in Computer Science · Computer Science 2020-02-19 Boaz Barak , Raphaëlle Crubillé , Ugo Dal Lago

This paper is a guide for the pure mathematician who would like to know more about cryptography based on group theory. The paper gives a brief overview of the subject, and provides pointers to good textbooks, key research papers and recent…

Group Theory · Mathematics 2010-01-25 Simon R. Blackburn , Carlos Cid , Ciaran Mullan

In this paper we proposed two identification schemes based on the root problem. The proposed schemes are secure against passive attacks assuming that the root problem (RP) is hard in braid groups.

Cryptography and Security · Computer Science 2007-05-23 Sunder Lal , Atul Chaturvedi

This thesis initiates the study of cryptographic protocols in the bounded-quantum-storage model. On the practical side, simple protocols for Rabin Oblivious Transfer, 1-2 Oblivious Transfer and Bit Commitment are presented. No quantum…

Quantum Physics · Physics 2007-09-04 Christian Schaffner

This paper introduces a novel approach to enumerate and assess Trapping sets in quasi-cyclic codes, those with circulant sizes that are non-prime numbers. Leveraging the quasi-cyclic properties, the method employs a tabular technique to…

Information Theory · Computer Science 2024-01-29 Vasiliy Usatyuk , Yury Kuznetsov , Sergey Egorov