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Lopez-Permouth, S.R., Parra-Avila, B.R. and Szabo, S. (2009) Dual Generalizations of the Concept of Cyclicity of Codes. Advances in Mathematics of Communications, 3, 227-234.
https://doi.org/10.3934/amc.2009.3.227

has been cited by the following article:

• 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.