[PDF][PDF] NTRU Public-Key Cryptosystem and Its Variants: An Overview

N Salleh, H Kamarulhaili - Int. l J. of Cryptology Research, 2020 - mscr.org.my
ABSTRACT NTRU is a lattice-based public-key cryptosystem which operates in a
polynomial ring with integer coefficients. The encryption algorithm, namely NTRUEncrypt …

NTRU in quaternion algebras of bounded discriminant

C Ling, A Mendelsohn - International Conference on Post-Quantum …, 2023 - Springer
The NTRU assumption provides one of the most prominent problems on which to base post-
quantum cryptography. Because of the efficiency and security of NTRU-style schemes …

QOTRU: A New Design of NTRU Public Key Encryption Via Qu-Octonion Subalgebra

HH Abo-Alsood, HR Yassein - Journal of Physics: Conference …, 2021 - iopscience.iop.org
NTRU is an open-source public key cryptosystem that encrypts and decrypts data using
lattice-based cryptography. It is more resistant to attacks than other common public-key …

A Group-based NTRU-like Public-key Cryptosystem for IoT

L Shuai, H Xu, L Miao, X Zhou - IEEE Access, 2019 - ieeexplore.ieee.org
The Internet of things have been widely used to improve our daily life. Public-key
cryptosystem plays a central role in the security of IoT. However, classic public-key …

PairTRU: Pairwise non-commutative extension of the NTRU public key cryptosystem

AH Karbasi, RE Atani, SE Atani - International Journal of Information …, 2018 - dergipark.org.tr
We show a novel lattice-based scheme PairTRU which is a non-commutative variant of the
NTRU. The original NTRU is defined via the ring of quotient with variable in integers and this …

NETRU: A Non-commutative and Secure Variant of CTRU Cryptosystem.

RE Atani, SE Atani, AH Karbasi - ISeCure, 2018 - search.ebscohost.com
In this paper we present a new finite field-based public key cryptosystem (NETRU) which is
a non-commutative variant of CTRU. The original CTRU is defined by the ring of polynomials …

[PDF][PDF] QuiTRU: Design Secure Variant of Ntruencrypt Via a New Multi-Dimensional Algebra

HR Yassein, HN Zaky, HH Abo-Alsoo, IA Mageed… - Appl. Math, 2023 - researchgate.net
The NTRU public-key cryptosystem is based on time complexity and efficient computations.
Many researchers were stimulated to improve NTRU performance by changing …

A non-commutative cryptosystem based on quaternion algebras

K Bagheri, MR Sadeghi, D Panario - Designs, Codes and Cryptography, 2018 - Springer
We propose BQTRU, a non-commutative NTRU-like cryptosystem over quaternion algebras.
This cryptosystem uses bivariate polynomials as the underling ring. The multiplication …

[PDF][PDF] An algorithm for quaternion-based 3D rotation

A Cariow, G Cariowa… - International Journal of …, 2020 - intapi.sciendo.com
In this work a new algorithm for quaternion-based spatial rotation is presented which
reduces the number of underlying real multiplications. The performing of a quaternion-based …

Characterizing NTRU-variants using group ring and evaluating their lattice security

T Yasuda, X Dahan, K Sakurai - Cryptology ePrint Archive, 2015 - eprint.iacr.org
The encryption scheme NTRU is designed over a quotient ring of a polynomial ring.
Basically, if the ring is changed to any other ring, NTRU-like cryptosystem is constructible. In …