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Lidl, R. and Niederreiter, H. (1983) Finite Fields. In: Doran, R., Ismail, M., Lam, T.-Y. and Lutwak, E., Eds., Encyclopedia of Mathematics and Its Applications, Vol. 20, Cambridge University Press, Cambridge.

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.