A Generalization of NTRUEncrypt —Cryptosystem Based on Ideal Lattice - Journal of Information Security

JIS > Vol.13 No.3, July 2022

Journal of Information Security

Volume 13, Issue 3 (July 2022)

ISSN Print: 2153-1234 ISSN Online: 2153-1242

Google-based Impact Factor: 3.79 Citations

A Generalization of NTRUEncrypt —Cryptosystem Based on Ideal Lattice ()

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Download as PDF (Size: 337KB) PP. 165-180

DOI: 10.4236/jis.2022.133010 202 Downloads 861 Views Citations

Author(s)

Zhiyong Zheng¹, Fengxia Liu², Wenlin Huang¹, Jie Xu¹, Kun Tian^1*

Affiliation(s)

¹Engineering Research Center of Ministry of Education for Financial Computing and Digital Engineering, Renmin University of China, Beijing, China.
²Artificial Intelligence Research Institute, Beihang University, Beijing, China.

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.

KEYWORDS

φ-Cyclic Code, Ideal Matrices, Convolutional Modular Lattice, NTRU

Share and Cite:

Zheng, Z. , Liu, F. , Huang, W. , Xu, J. and Tian, K. (2022) A Generalization of NTRUEncrypt —Cryptosystem Based on Ideal Lattice. Journal of Information Security, 13, 165-180. doi: 10.4236/jis.2022.133010.

Cited by

[1]	An Unbounded Fully Homomorphic Encryption Scheme Based on Ideal Lattices and Chinese Remainder Theorem
	arXiv preprint arXiv:2301.12060, 2023

[2]	Modern Cryptography Volume 2: A Classical Introduction to Informational and Mathematical Principle
	2023

[3]	Cyclic lattices, ideal lattices and bounds for the smoothing parameter
	arXiv preprint arXiv:2112.13185, 2021

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