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In this article, we have proposed a public key cryptography using Affine-Hill cipher with a generalized Fibonacci matrix(called multinacci matrix). Also proposed a key establishment(exchange of key matrix $K=Q_{\lambda}^{k}$ of order…

Cryptography and Security · Computer Science 2021-03-15 Kalika Prasad , Hrishikesh Mahato

After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that the conjugacy search problem is unlikely to provide sufficient level of…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

The nonlinearity of a Boolean function is a key property in deciding its suitability for cryptographic purposes, e.g. as a combining function in stream ciphers, and so the nonlinearity computation is an important problem for applications.…

Information Theory · Computer Science 2016-10-20 Emanuele Bellini , Teo Mora , Massimiliano Sala

In this work, we propose a novel key reconciliation protocol for the quantum key distribution (QKD). Based on Newton's polynomial interpolation, the proposed protocol aims to correct all erroneous bits at the receiver without revealing…

Cryptography and Security · Computer Science 2020-04-16 Gunes Karabulut Kurt , Enver Ozdemir , Neslihan Aysen Ozkirisci , Ozan Alp Topal , Emel A. Ugurlu

In this study, explicit differential equations representing commutative pairs of some well-known second-order linear time-varying systems have been derived. The commutativity of these systems are investigated by considering 30 second-order…

Systems and Control · Computer Science 2020-10-05 Mehmet Emir Koksal

We propose a quantum key distribution protocol based on a quantum retrodiction protocol, known as the Mean King problem. The protocol uses a two way quantum channel. We show security against coherent attacks in a transmission error free…

Quantum Physics · Physics 2010-04-01 A. H. Werner , T. Franz , R. F. Werner

We propose a homomorphic search protocol based on quantum homomorphic encryption, in which a client Alice with limited quantum ability can give her encrypted data to a powerful but untrusted quantum server and let the server search for her…

Quantum Physics · Physics 2020-03-24 Qing Zhou , Songfeng Lu

In the recently emerging field of nonabelian group-based cryptography, a prominently used one-way function is the Conjugacy Search Problem (CSP), and two important classes of platform groups are polycyclic and matrix groups. In this paper,…

Cryptography and Security · Computer Science 2023-10-10 Simran Tinani , Carlo Matteotti , Joachim Rosenthal

Recently Rubinfeld et al. (ICS 2011, pp. 223--238) proposed a new model of sublinear algorithms called \emph{local computation algorithms}. In this model, a computation problem $F$ may have more than one legal solution and each of them…

Data Structures and Algorithms · Computer Science 2011-12-01 Noga Alon , Ronitt Rubinfeld , Shai Vardi , Ning Xie

Entropically Secure Encryption (ESE) offers unconditional security with shorter keys compared to the One-Time Pad. In this paper, we present the first implementation of ESE for bulk encryption. The main computational bottleneck for bulk ESE…

Cryptography and Security · Computer Science 2024-11-15 Mehmet Hüseyin Temel , Boris Skoric , Idelfonso Tafur Monroy

This paper presents a novel methodology to test the security of the Diffie-Hellman public key exchange protocol. The security of many cryptographic schemes rely on the hardness of this problem. We are presenting a purely statistical test to…

Statistics Theory · Mathematics 2007-06-13 I. Florescu , A. Myasnikov , A. Mahalanobis

We describe the design and implementation of efficient signature and key-exchange schemes for the AVR ATmega and ARM Cortex M0 microcontrollers, targeting the 128-bit security level. Our algorithms are based on an efficient Montgomery…

Cryptography and Security · Computer Science 2016-04-21 Joost Renes , Peter Schwabe , Benjamin Smith , Lejla Batina

In todays security landscape, every user wants to access large amounts of data with confidentiality and authorization. To maintain confidentiality, various researchers have proposed several techniques. However, to access secure data,…

Cryptography and Security · Computer Science 2025-12-29 Keshav Sinha , Sumitra , Richa Kumari , Akashdeep Bhardwaj , Shawon Rahman

Quantum key distribution relies on quantum mechanics to securely distribute cryptographic keys, offering security but necessitating complex infrastructure and significant resources for practical implementation. Quantum keyless private…

Quantum Physics · Physics 2026-03-02 Pedro Neto Mendes , Davide Rusca , Hugo Zbinden , Emmanuel Zambrini Cruzeiro

In this paper, an anti-eavesdropping estimation problem is investigated. A linear encryption scheme is utilized, which first linearly transforms innovation via an encryption matrix and then encrypts some components of the transformed…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Zhongyao Hu , Bo Chen , Pindi Weng , Jianzheng Wang , Li Yu

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

The financial sector presents many opportunities to apply various machine learning techniques. Centralized machine learning creates a constraint which limits further applications in finance sectors. Data privacy is a fundamental challenge…

Machine Learning · Computer Science 2020-07-15 Yifei Zhang , Hao Zhu

Solution methods for linear equation systems in a commutative ring are discussed. Four methods are compared, in the setting of several different rings: Dodgson's method [1], Bareiss's method [2] and two methods of the author - method by…

Symbolic Computation · Computer Science 2017-12-01 Gennadi Malaschonok

This paper proposes an efficient secret key cryptosystem based on polar codes over Binary Erasure Channel. We introduce a method, for the first time to our knowledge, to hide the generator matrix of the polar codes from an attacker. In…

Cryptography and Security · Computer Science 2013-08-02 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

In wireless ad-hoc broadcast networks the pairing problem consists of establishing a (long-term) connection between two specific physical nodes in the network that do not yet know each other. We focus on the ephemeral version of this…

Cryptography and Security · Computer Science 2016-09-08 Jaap-Henk Hoepman