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We give an efficient, deterministic algorithm to decide if two abelian varieties over a number field are isogenous. From this, we derive an algorithm to compute the endomorphism ring of an elliptic curve over a number field.

Number Theory · Mathematics 2020-02-28 Jeff Achter

We present for the first time, a bidirectional Quantum Key Distribution protocol with minimal encoding operations derived from the use of two `nonorthogonal' unitary transformations selected from two mutually unbiased unitary bases; which…

Quantum Physics · Physics 2017-05-10 J. S. Shaari , Suryadi

Quantum conference key agreement is an important cryptographic primitive for future quantum network. Realizing this primitive requires high-brightness and robust multiphoton entanglement sources, which is challenging in experiment and…

Quantum Physics · Physics 2023-05-31 Chen-Long Li , Yao Fu , Wen-Bo Liu , Yuan-Mei Xie , Bing-Hong Li , Min-Gang Zhou , Hua-Lei Yin , Zeng-Bing Chen

We consider a network of users connected by pairwise quantum key distribution (QKD) links. Using these pairwise secret keys and public classical communication, the users want to generate a common (conference) secret key at the maximal rate.…

Quantum Physics · Physics 2026-05-19 Anton Trushechkin , Hermann Kampermann , Dagmar Bruß

The point of this paper is to use affine automorphisms from algebraic geometry to build cryptographic multivariate mappings. We will construct groups G,H, both isomorphic to the cyclic group with a prime number of elements and multilinear…

Cryptography and Security · Computer Science 2020-11-10 Paul Hriljac

We consider a group of $m$ trusted and authenticated nodes that aim to create a shared secret key $K$ over a wireless channel in the presence of an eavesdropper Eve. We assume that there exists a state dependent wireless broadcast channel…

Cryptography and Security · Computer Science 2016-04-11 Mahdi Jafari Siavoshani , Shaunak Mishra , Christina Fragouli , Suhas N. Diggavi

Multipartite entanglement enables secure and anonymous key exchange between multiple parties in a network. In particular Greenberger-Horne-Zeilinger (GHZ) states have been introduced as resource states for anonymous key exchange protocols,…

Quantum Physics · Physics 2025-02-27 Lukas Rückle , Jakob Budde , Jarn de Jong , Frederik Hahn , Anna Pappa , Stefanie Barz

In studying the statistical frequency of exchange in comparison-exchange (CE) networks we discover a new elementary form of comparison-exchange which we name the "2-op". The operation supports concurrent and non-interfering operations of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-16 Alan W. Paeth

The multiparty key exchange introduced in Steiner et al.\@ and presented in more general form by the authors is known to be secure against passive attacks. In this paper, an active attack is presented assuming malicious control of the…

Information Theory · Computer Science 2015-09-04 Reto Schnyder , Juan Antonio Lopez-Ramos , Joachim Rosenthal , Davide Schipani

A basic two-terminal secret key generation model is considered, where the interactive communication rate between the terminals may be limited, and in particular may not be enough to achieve the maximum key rate. We first prove a…

Information Theory · Computer Science 2017-03-29 Jingbo Liu , Paul Cuff , Sergio Verdú

Given a graph where every vertex has exactly one labeled token, how can we most quickly execute a given permutation on the tokens? In (sequential) token swapping, the goal is to use the shortest possible sequence of swaps, each of which…

We study quantum advantage in one-step rendezvous games on simple graphs analytically, numerically, and using noisy intermediate-scale quantum (NISQ) processors. Our protocols realise the recently discovered [arXiv:2207.14404] optimal…

Quantum Physics · Physics 2024-10-15 J. Tucker , P. Strange , P. Mironowicz , J. Quintanilla

The problem of computing an explicit isogeny between two given elliptic curves over F_q, originally motivated by point counting, has recently awaken new interest in the cryptology community thanks to the works of Teske and Rostovstev &…

Number Theory · Mathematics 2020-01-07 Luca De Feo

Exchange of secret keys over public channels based on neural synchronization using a variety of learning rules offer an appealing alternative to number theory based cryptography algorithms. Though several forms of attacks are possible on…

Cryptography and Security · Computer Science 2015-02-19 Sandip Chakraborty , Jiban Dalal , Bikramjit Sarkar , Debaprasad Mukherjee

Cryptographic primitives are essential for constructing privacy-preserving communication mechanisms. There are situations in which two parties that do not know each other need to exchange sensitive information on the Internet. Trust…

Cryptography and Security · Computer Science 2013-08-13 Oriol Farràs , Josep Domingo-Ferrer , Alberto Blanco-Justicia

If an eavesdropper Eve is equipped with quantum computers, she can easily break the public key exchange protocols used today. In this paper we will discuss the post-quantum Diffie-Hellman key exchange and private key exchange protocols.

Quantum Physics · Physics 2007-05-23 Xiangdong Li , Lin Leung , Andis Chi-Tung Kwan , Xiaowen Zhang , Dammika Kahanda , Michael Anshel

Quantum communication networks are connected by various devices to achieve communication or distributed computing for users in remote locations. In order to solve the problem of generating temporary session key for secure communication in…

Quantum Physics · Physics 2023-04-03 Li-Zhen Gao , Xin Zhang , Song Lin , Ning Wang , Gong-De Guo

We investigate quantum secret sharing schemes constructed from $[[n,k,\delta]]_D$ non-binary stabilizer quantum error correcting codes with carrier qudits of prime dimension $D$. We provide a systematic way of determining the access…

Quantum Physics · Physics 2012-05-16 Vlad Gheorghiu

Elliptic curve cryptography has received great attention in recent years due to its high resistance against modern cryptanalysis. The aim of this article is to present efficient generators to generate substitution boxes (S-boxes) and pseudo…

Cryptography and Security · Computer Science 2019-10-15 Ikram Ullah , Naveed Ahmed Azam , Umar Hayat

In this paper, we propose an elliptic curve key generation processor over GF(2m) and GF(P) with Network-on-Chip (NoC) design scheme based on binary scalar multiplication algorithm. Over the Two last decades, Elliptic Curve Cryptography…

Cryptography and Security · Computer Science 2011-10-06 Hamid Javashi , Reza Sabbaghi-Nadooshan