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In this paper we use the nonrepresentable ring E_p(m)to introduce public key cryptosystems in noncommutative settings and based on the Semigrouop Action Problem and the Decomposition Problem respectively.

Information Theory · Computer Science 2016-06-20 Joan-Josep Climent , Juan Antonio Lopez-Ramos

Lectures on classical and quantum cryptography. Contents: Private key cryptosystems. Elements of number theory. Public key cryptography and RSA cryptosystem. Shannon`s entropy and mutual information. Entropic uncertainty relations. The no…

Quantum Physics · Physics 2007-07-13 I. V. Volovich , Ya. I. Volovich

We show that the Cao-Li cryptosystem proposed in \cite{CL1} is not secure. Its private key can be reconstructed from its public key using elementary means such as LU-decomposition and Euclidean algorithm.

Cryptography and Security · Computer Science 2007-05-23 Lek-Heng Lim

This paper gives the definition and property of a bit-pair shadow, and devises the three algorithms of a public key cryptoscheme called JUOAN that is based on a multivariate permutation problem and an anomalous subset product problem to…

Cryptography and Security · Computer Science 2017-05-02 Shenghui Su , Shuwang Lu , Maozhi Xu , Tao Xie

We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of…

Cryptography and Security · Computer Science 2016-07-12 Frantisek Marko , Alexandr N. Zubkov , Martin Juras

Current quantum communication protocols rely heavily on classical authentication for message origin verification, leaving them vulnerable to evolving attacks that exploit classical trust assumptions. In this work, we propose a novel…

Quantum Physics · Physics 2025-07-09 Asgar Hosseinnezhad , Hadi Sabri

A general proof of the security against eavesdropping of a previously introduced protocol for two-party quantum key distribution based on entanglement swapping [Phys. Rev. A {\bf 61}, 052312 (2000)] is provided. In addition, the protocol is…

Quantum Physics · Physics 2007-05-23 Adan Cabello

The promise of quantum computation and its consequences for complexity-theoretic cryptography motivates an immediate search for cryptosystems which can be implemented with current technology, but which remain secure even in the presence of…

Quantum Physics · Physics 2007-05-23 Cristopher Moore , Alexander Russell , Umesh Vazirani

Quantum key distribution is a way to distribute secret keys to distant users with information theoretic security and key rates suitable for real-world applications. Its rate-distance figure, however, is limited by the natural loss of the…

Quantum Physics · Physics 2018-09-12 Kiyoshi Tamaki , Hoi-Kwong Lo , Wenyuan Wang , Marco Lucamarini

We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent…

Cryptography and Security · Computer Science 2025-07-14 Gennady Khalimov , Yevgen Kotukh

Quantum key distribution, which allows two distant parties to share an unconditionally secure cryptographic key, promises to play an important role in the future of communication. For this reason such technique has attracted many…

The no-cloning theorem can be used as a basis for quantum money constructions which guarantee unconditionally unforgeable currency. Existing schemes, however, either (i) require long-term quantum memory and quantum communication between the…

Quantum Physics · Physics 2025-10-22 Dmytro Gavinsky , Dar Gilboa , Siddhartha Jain , Dmitri Maslov , Jarrod R. McClean

Entanglement is a fundamental resource for quantum information processing. In its pure form, it allows quantum teleportation and sharing classical secrets. Realistic quantum states are noisy and their usefulness is only partially…

Quantum Physics · Physics 2014-04-15 Maris Ozols , Graeme Smith , John A. Smolin

We propose a definition for the information theoretic security of a quantum public-key encryption scheme, and present bit-oriented and two-bit-oriented encryption schemes satisfying our security definition via the introduction of a new…

Quantum Physics · Physics 2015-03-17 Jiangyou Pan , Li Yang

The advantages of post-quantum cryptography over classical cryptography are covered in this survey. We address several post-quantum cryptography techniques. We conclude that the deployment of quantum-safe cryptographic systems is…

Quantum Physics · Physics 2024-02-20 Abhinav Awasthi , Atul Chaturvedi

A new cryptographic tool, anonymous quantum key technique, is introduced that leads to unconditionally secure key distribution and encryption schemes that can be readily implemented experimentally in a realistic environment. If quantum…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

This article introduces a novel cryptographic paradigm based on nonderived polyadic algebraic structures. Traditional cryptosystems rely on binary operations within groups, rings, or fields, whose well-understood properties can be exploited…

Cryptography and Security · Computer Science 2025-12-17 Steven Duplij , Na Fu , Qiang Guo

We construct a classical oracle relative to which $\mathsf{P} = \mathsf{NP}$ but quantum-computable quantum-secure trapdoor one-way functions exist. This is a substantial strengthening of the result of Kretschmer, Qian, Sinha, and Tal (STOC…

Quantum Physics · Physics 2025-09-18 William Kretschmer , Luowen Qian , Avishay Tal

Physical implementations of cryptographic algorithms leak information, which makes them vulnerable to so-called side-channel attacks. The problem of secure computation in the presence of leakage is generally known as leakage resilience. In…

Quantum Physics · Physics 2014-05-01 Felipe G. Lacerda , Joseph M. Renes , Renato Renner

Yuan and Shields claim that our data-encryption protocol is entirely equivalent to a classical stream cipher utilizing no quantum phenomena. Their claim is, indeed, false. Yuan and Shields also claim that schemes similar to the one…

Quantum Physics · Physics 2009-11-11 Horace Yuen , Eric Corndorf , Geraldo Barbosa , Prem Kumar