TITLE:
A Generalization of NTRUEncrypt —Cryptosystem Based on Ideal Lattice
AUTHORS:
Zhiyong Zheng, Fengxia Liu, Wenlin Huang, Jie Xu, Kun Tian
KEYWORDS:
φ-Cyclic Code, Ideal Matrices, Convolutional Modular Lattice, NTRU
JOURNAL NAME:
Journal of Information Security,
Vol.13 No.3,
July
13,
2022
ABSTRACT: The purpose of this article is to extend
the theory of circulant matrix to general ideal matrix, and to construct more general NTRU cryptosystem combined with
the φ-cyclic code. To understand our construction, first we
discuss a more general form of the ordinary cyclic code, namely φ-cyclic code, which firstly appeared in [1] and [2], thus we give a more generalized NTRUEncrypt by replacing finite field with real number field R.