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This paper provides an explanation of NTRU, a post quantum encryption scheme, while also providing a gentle introduction to cryptography. NTRU is a very efficient lattice based cryptosystem that appears to be safe against attacks by quantum…

Cryptography and Security · Computer Science 2025-03-12 Liam Peet-Pare

NTRU cryptosystem has allowed designing a range of cryptographic schemes due to its flexibility and efficiency. Although NTRU cryptosystem was introduced nearly two decades ago, it has not yet received any attention like designing a secret…

Cryptography and Security · Computer Science 2017-10-09 Maheswara Rao Valluri

Xinyu et al. proposed a public key exchange protocol, which is based on the NTRU-lattice based cryptography. In this paper, we show how Xinyu et al.'s NTRU-KE: A lattice based key exchange protocol can be broken, under the assumption that a…

Cryptography and Security · Computer Science 2016-11-29 Maheswara Rao Valluri

The NTRU lattice is a promising candidate to construct practical cryptosystems, in particular key encapsulation mechanism (KEM), resistant to quantum computing attacks. Nevertheless, there are still some inherent obstacles to NTRU-based KEM…

Cryptography and Security · Computer Science 2022-11-10 Zhichuang Liang , Boyue Fang , Jieyu Zheng , Yunlei Zhao

NTRU public key cryptosystem is well studied lattice-based Cryptosystem along with Ajtai-Dwork and GGH systems. Underlying NTRU is a hard mathematical problem of finding short vectors in a certain lattice. (Shamir 1997) presented a…

Cryptography and Security · Computer Science 2009-02-12 Nitin Vats

We propose BQTRU, a non-commutative NTRU-like cryptosystem over quaternion algebras. This cryptosystem uses bivariate polynomials as the underling ring. The multiplication operation in our cryptosystem can be performed with high speed using…

Rings and Algebras · Mathematics 2017-09-08 Khadijeh Bagheri , Mohammad-Reza Sadeghi , Daniel Panario

Group ring NTRU (GR-NTRU) provides a general structure to design different variants of NTRU-like schemes by employing different groups. Although, most of the schemes in literature are built over cyclic groups, nonabelian groups can also be…

Cryptography and Security · Computer Science 2023-09-18 Vikas Kumar , Ali Raya , Sugata Gangopadhyay , Aditi Kar Gangopadhyay

As quantum computing technology matures, it poses a threat to the security of mainstream asymmetric cryptographic methods. In response, the National Institute of Standards and Technology released the final version of post-quantum…

Cryptography and Security · Computer Science 2024-10-08 Abel C. H. Chen

Most modern cryptographic systems, such as RSA and the Diffie-Hellman Key Exchange, rely on "trapdoor" mathematical functions that are presumed to be computationally difficult with existing tools. However, quantum computers will be able to…

Cryptography and Security · Computer Science 2025-05-15 Alexander Meyer

ITRU cryptosystem is a public key cryptosystem and one of the known variants of NTRU cryptosystem. Instead of working in a truncated polynomial ring, ITRU cryptosystem is based on the ring of integers. The authors claimed that ITRU has…

Cryptography and Security · Computer Science 2020-05-20 Hashim H. R. , Molnár A. , Tengely Sz

Quantum cryptographic protocols do not rely only on quantum-physical resources, they also require reliable classical communication and computation. In particular, the secrecy of any quantum key distribution protocol critically depends on…

Quantum Physics · Physics 2025-06-03 Iyán Méndez Veiga , Esther Hänggi

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

Privacy amplification is an indispensable step in the post-processing of quantum key distribution, which can be used to compress the redundancy of shared key and improve the security level of the key. The commonly used privacy amplification…

Quantum Physics · Physics 2021-09-16 Wei Li , Shengmei Zhao

This document focuses on developing a key expansion method based on the internet X.509 public key infrastructure and elliptic curve cryptography, which is applied in the context of anonymous voting. The method enables end entities to…

Cryptography and Security · Computer Science 2024-10-24 Abel C. H. Chen

Public-key cryptography has become a popular way to motivate the teaching of concepts in elementary number theory, abstract algebra, and introduction to proof courses, as well as in cryptography courses. Unfortunately, many experts expect…

History and Overview · Mathematics 2022-10-11 Joshua Holden

With the ever-growing concern for internet security, the field of quantum cryptography emerges as a promising solution for enhancing the security of networking systems. In this paper, 20 notable papers from leading conferences and journals…

Cryptography and Security · Computer Science 2023-06-16 Mst Shapna Akter

The traditional way for a Quantum Key Distribution (QKD) user to join a quantum network is by authenticating themselves using pre-shared key material. While this approach is sufficient for small-scale networks, it becomes impractical as the…

Quantum Physics · Physics 2025-07-30 Juan Antonio Vieira Giestinhas , Timothy Spiller

A secret key shared through quantum key distribution between two cooperative players is secure against any eavesdropping attack allowed by the laws of physics. Yet, such a key can be established only when the quantum channel error rate due…

Quantum Physics · Physics 2007-05-23 H. F. Chau

This paper provides a simple variation of the basic ideas of the BB84 quantum cryptographic scheme leading to a method of key expansion. A secure random sequence (the bases sequence) determines the encoding bases in a proposed scheme. Using…

Quantum Physics · Physics 2009-10-30 Won Young Hwang , In Gyu Koh , Yeong Deok Han

Vehicular Ad-hoc Networks (VANETs) marked a pronounced change in the Intelligent Transport System and Smart Cities through seamless vehicle communication to intensify safety and efficacy. However, a few authentication schemes have been…

Cryptography and Security · Computer Science 2024-03-21 Girraj Kumar Verma , Nahida Majeed Wani , Prosanta Gope
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