A new NTRU cryptosystem outperforms three highly secured NTRU-analog systems through an innovational algebraic structure

HR Yassein, NMG Al-Saidi… - Journal of Discrete …, 2022 - Taylor & Francis
NTRU public key cryptosystem relies on computations that are efficiently performed with
insignificant storage and time complexity. Many researchers were motivated to improve …

[图书][B] Modern Cryptography Volume 1: A Classical Introduction to Informational and Mathematical Principle

Z Zheng - 2022 - library.oapen.org
This open access book systematically explores the statistical characteristics of cryptographic
systems, the computational complexity theory of cryptographic algorithms and the …

[PDF][PDF] A new design of NTRU encryption with high security and performance level

HR Yassein, AA Abidalzahra… - AIP Conference …, 2021 - academia.edu
A multi-dimensional QTRU public-key cryptosystem improves NTRU by replacing the
original ring in NTRU by quaternion algebra. In this paper, we introduce QMNTR an …

ETRU: NTRU over the Eisenstein integers

K Jarvis, M Nevins - Designs, Codes and Cryptography, 2015 - Springer
NTRU is a public-key cryptosystem based on polynomial rings over\mathbb ZZ
Replacing\mathbb ZZ with the ring of Eisenstein integers yields ETRU. We prove through …

NTRU Algorithm: Nth Degree Truncated Polynomial Ring Units

A Kamal, K Ahmad, R Hassan, K Khalim - Functional Encryption, 2021 - Springer
NTRU is a public key cryptosystem designed over a polynomial ring. It is based on the
polynomial algebra. NTRU operations are based on addition, modular inverse …

[PDF][PDF] Design of an alternative NTRU Encryption with High Secure and Efficient

HH Abo-Alsood, HR Yassein - International Journal of …, 2021 - researchgate.net
With the need to store a huge amount of personal information, Computer hardware has
become extremely vital nowadays. However, some challenges follow this expansion; for …

[PDF][PDF] A New Design of NTRU Encrypt-analog Cryptosystem with High Security and Performance Level via Tripternion Algebra

SH Shahhadi, HR Yassein - International Journal of …, 2021 - ijmcs.future-in-tech.net
With the progress and development of life, cryptography became an indispensable science.
As its usefulness is not limited to changing the form of information and making it in the form …

[PDF][PDF] A multi-dimensional algebra for designing an improved NTRU cryptosystem

HR Yassein, NMG Al-Saidi… - Eurasian journal of …, 2020 - researchgate.net
The NTRU public key cryptosystem is essentially based on the Nth degree truncated
polynomial ring Z [X]/XN-1. By altering the Z [X]/XN-1 or its mathematical construction, many …

[PDF][PDF] HXDTRU cryptosystem based on hexadecnion algebra

HR Yassein, NM Al-Saidi - … of the 5th International Cryptology and …, 2016 - researchgate.net
In this paper, a new public key cryptosystem based on a new proposed algebra called
hexadecnion algebra, which is a non associative, non-commutative and alternative is …

[PDF][PDF] BCTRU: a new secure NTRUcrypt public key system based on a newly multidimensional algebra

HR Yassein, NMG Al-Saidi - proceeding of 6th international …, 2018 - researchgate.net
ABSTRACT BCTRU is a newly generated multi-dimensional NTRU like public key
cryptosystem. It is based on a newborn algebraic structure utilized instead of the classical …