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In this article, we have proposed a generalized Lucas matrix (recursive matrix of higher order) having relation with generalized Fibonacci sequences and established many special properties in addition to that usual matrix algebra. Further,…

Cryptography and Security · Computer Science 2026-02-03 Kalika Prasad , Hrishikesh Mahato , Munesh Kumari

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

Group Theory · Mathematics 2017-09-20 V. A. Roman'kov

New cryptographic techniques such as homomorphic encryption (HE) allow computations to be outsourced to and evaluated blindfolded in a resourceful cloud. These computations often require private data owned by multiple participants, engaging…

Cryptography and Security · Computer Science 2020-08-13 Asma Aloufi , Peizhao Hu , Yongsoo Song , Kristin Lauter

We consider a key exchange procedure whose security is based on the difficulty of computing discrete logarithms in a group, and where exponentiation is hidden by a conjugation. We give a platform-dependent cryptanalysis of this protocol.…

Cryptography and Security · Computer Science 2012-09-28 Mohammad Eftekhari

Secure instant group messaging applications such as WhatsApp, Facebook Messenger, Matrix, and the Signal Application have become ubiquitous in today's internet, cumulatively serving billions of users. Unlike WhatsApp, for example, Matrix…

Cryptography and Security · Computer Science 2024-12-10 Jacob Ginesin , Cristina Nita-Rotaru

In this paper [Chin. Phys. B 27 (2018) 080304], Du and Bao proposed a quantum secret sharing protocol based on two-particle transform of Bell states. We study the security of the proposed protocol and find that it is not secure, that is,…

Quantum Physics · Physics 2019-01-29 Gan Gao

The concept of universal designated verifier signatures was introduced by Steinfeld, Bull, Wang and Pieprzyk at Asiacrypt 2003. These signatures can be used as standard publicly verifiable digital signatures but have an additional…

Cryptography and Security · Computer Science 2008-02-11 Damien Vergnaud

We present a rank metric code-based encryption scheme with key and ciphertext sizes comparable to that of isogeny-based cryptography for an equivalent security level. The system also benefits from efficient encryption and decryption…

Cryptography and Security · Computer Science 2019-12-02 Julien Lavauzelle , Pierre Loidreau , Ba-Duc Pham

Recently proposed quantum key distribution protocols are shown to be vulnerable to a classic man-in-the-middle attack using entangled pairs created by Eve. It appears that the attack could be applied to any protocol that relies on…

Quantum Physics · Physics 2007-05-23 D. Richard Kuhn

Extending the eavesdropping strategy devised by Zhang, Li and Guo [Phys. Rev. A 63, 036301 (2001)], we show that the multiparty quantum communication protocol based on entanglement swapping, which was proposed by Cabello [quant-ph/0009025],…

Quantum Physics · Physics 2009-11-10 Juhui Lee , Soojoon Lee , Jaewan Kim , Sung Dahm Oh

Recently, Abdalla et al. proposed a new gateway-oriented password-based authenticated key exchange (GPAKE) protocol among a client, a gateway, and an authentication server, where each client shares a human-memorable password with a trusted…

Cryptography and Security · Computer Science 2010-01-19 He Debiao , Chen Jianhua , Hu Jin

In the paper [Zhang, Li and Guo, Phys. Rev. A 64, 024302 (2001)], a quantum key distribution protocol based on quantum encryption was proposed, in which the quantum key can be reused. However, it is shown that, if Eve employs a special…

Quantum Physics · Physics 2009-09-29 Fei Gao , Sujuan Qin , Qiaoyan Wen , Fuchen Zhu

In this Reply we propose a modified security proof of the Quantum Dense Key Distribution protocol detecting also the eavesdropping attack proposed by Wojcik in his Comment.

The large-alphabet quantum cryptography protocol based on the two-mode coherently correlated multi-photon beams is proposed. The alphabet extension for the protocol is shown to result in the increase of the QKD effectiveness and security.

Quantum Physics · Physics 2010-03-02 Vladyslav C. Usenko , Bohdan I. Lev

We consider quantum cryptographic schemes where the carriers of information are 3-state particles. One protocol uses four mutually unbiased bases and appears to provide better security than obtainable with 2-state carriers. Another possible…

Quantum Physics · Physics 2009-11-06 Helle Bechmann-Pasquinucci , Asher Peres

Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significiant problem in recent years. In this paper we introduce two new coding/decoding algorithms using…

Cryptography and Security · Computer Science 2021-01-12 Sümeyra UçAr , Nihal Taş , Nihal Yilmaz Özgür

Within the broad research scenario of quantum secure communication, Two-Way Quantum Key Distribution (TWQKD) is a relatively new proposal for sharing secret keys that is not fully explored yet. We analyse the security of TWQKD schemes that…

Quantum Physics · Physics 2015-11-18 C. Ivan Henao , Roberto M. Serra

We present a quantum key distribution protocol based on four-level particles entanglement. Furthermore, a controlled quantum key distribution protocol is proposed by utilizing three four-level particles. We show that the two protocols are…

Quantum Physics · Physics 2011-06-07 Tao Yan , Fengli Yan

We investigate security properties of the Anshel-Anshel-Goldfeld commutator key-establishment protocol used with certain polycyclic groups. We show that despite low success of the length based attack the protocol can be broken by a…

Group Theory · Mathematics 2015-04-21 Matvei Kotov , Alexander Ushakov

This paper introduces a variant for the symmetric matrix-based key distribution in sensor network introduced by Du et al. Our slight modification shows that the usage of specific structures for the public matrix instead of fully random…

Cryptography and Security · Computer Science 2009-09-29 Abedelaziz Mohaisen