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Cryptographic systems are derived using units in group rings. Combinations of types of units in group rings give units not of any particular type. This includes cases of taking powers of units and products of such powers and adds the…

Group Theory · Mathematics 2020-04-14 Barry Hurley , Ted Hurley

We investigate the computational complexity of the discrete logarithm, the computational Diffie-Hellman and the decisional Diffie-Hellman problems in some identity black-box groups G_{p,t}, where p is a prime number and t is a positive…

Quantum Physics · Physics 2021-05-20 Gabor Ivanyos , Antoine Joux , Miklos Santha

Ensuring security is something that is not easily done as many of the demands of network security conflict with the demands of mobile networks, majorly because of the nature of the mobile devices (e.g. low power consumption, low processing…

Networking and Internet Architecture · Computer Science 2014-05-02 Ms. Rajni , Ms. Reena

Currently, public-key compression of supersingular isogeny Diffie-Hellman (SIDH) and its variant, supersingular isogeny key encapsulation (SIKE) involve pairing computation and discrete logarithm computation. In this paper, we propose novel…

Cryptography and Security · Computer Science 2021-11-23 Kaizhan Lin , Weize Wang , Lin Wang , Chang-An Zhao

Security against simple eavesdropping attacks is demonstrated for a recently proposed quantum key distribution protocol which uses the Fibonacci recursion relation to enable high-capacity key generation with entangled photon pairs. No…

Quantum Physics · Physics 2015-04-13 David S. Simon , Casey Fitzpatrick , Alexander V. Sergienko

Providing security for messages in group communication is more essential and critical nowadays. In group oriented applications such as Video conferencing and entertainment applications, it is necessary to secure the confidential data in…

Cryptography and Security · Computer Science 2012-12-13 R. Velumadhava Rao , K. Selvamani , R. Elakkiya

Device-independent quantum key distribution (DIQKD) is the art of using untrusted devices to distribute secret keys in an insecure network. It thus represents the ultimate form of cryptography, offering not only information-theoretic…

The paper reviews an implementation of an additional encrypted tunnel within TLS to further secure and authenticate the traffic of personal information between ProtonMail's frontends and the backend, implementing its key exchange, symmetric…

Cryptography and Security · Computer Science 2020-05-29 Aron Wussler

Traditional key management techniques, such as public key cryptography or key distribution center (e.g., Kerberos), are often not effective for wireless sensor networks for the serious limitations in terms of computational power, energy…

Cryptography and Security · Computer Science 2010-07-15 Eric Ke Wang , Lucas C. K. Hui , S. M. Yiu

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

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

A recently proposed authenticated key agreement protocol is shown to be insecure. In particular, one of the two parties is not authenticated, allowing an active man in the middle opponent to replay old messages. The protocol is essentially…

Cryptography and Security · Computer Science 2019-06-25 Chris J Mitchell

The finite dihedral group generated by one rotation and one flip is the simplest case of the non-abelian group. Cayley graphs are diagrammatic counterparts of groups. In this paper, much attention is given to the Cayley graph of the…

Quantum Physics · Physics 2018-10-02 Wenjing Dai , Jiabin Yuan , Dan Li

We investigate the role of exchange bridges in molecular magnets. We explore their effects on the distribution of the valence electrons and their contribution to the exchange processes. The present study is focused on a spin-half dimer with…

Atomic and Molecular Clusters · Physics 2020-10-12 M. Georgiev , H. Chamati

This paper addresses an interesting security problem in wireless ad hoc networks: the Dynamic Group Key Agreement key establishment. For secure group communication in an Ad hoc network, a group key shared by all group members is required.…

Cryptography and Security · Computer Science 2010-07-02 Krishnan Kumar , Nafeesa Begum J , V. Sumathy

Inspired by Bitcoin, many different kinds of cryptocurrencies based on blockchain technology have turned up on the market. Due to the special structure of the blockchain, it has been deemed impossible to directly trade between traditional…

Cryptography and Security · Computer Science 2020-05-08 Hangyu Tian , Kaiping Xue , Shaohua Li , Jie Xu , Jianqing Liu , Jun Zhao

The device-independent framework constitutes the most pragmatic approach to quantum protocols that does not put any trust in their implementations. It requires all claims, about e.g. security, to be made at the level of the final classical…

In this article, we describe a key exchange protocol based on right transversals. We also describe it for general extension associated to right loops.

Group Theory · Mathematics 2015-01-06 Akhilesh Chandra Yadav , Vipul Kakkar

This paper investigates a reconciliation method in order to establish an errorless secret key in a QKD protocol. Classical key distribution protocols are no longer unconditionally secure because computational complexity of mathematical…

Quantum Physics · Physics 2020-02-19 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

In this paper,we propose a modified Anshel-Anshel-Goldfeld(AAG) key exchange scheme. The hardness assumption underlying this modified construction is based on the membership problem for Mihailova subgroups of the braid group, a problem that…

Group Theory · Mathematics 2026-01-27 Hanling Lin , Yu Han
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