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2014•Jisuanji yingyong yanjiuRequires access

Method to generate lattice in cryptanalysis based on lattice reduction

Bai Jia

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Abstract

After analyzing the way to attack RSA system and NTRU system based on the lattice reduction,this paper presented a method how to generate the lattice in the lattice reduction.The method was mainly used in the cryptosystems which had the vectors,polynomials or find the small solutions to the equation of the higher degree.In the end,the method was realized in the Regev's cryptosystem which was based on the LWE,and gave the way how to generate the lattice in this cryptosystem.This application proves the useful of this method.

About this research paper

What this paper is about

After analyzing the way to attack RSA system and NTRU system based on the lattice reduction,this paper presented a method how to generate the lattice in the lattice reduction.The method was mainly used in the cryptosystems which had the vectors,polynomials or find the small solutions to the equation of the higher degree.In the end,the method was realized in the Regev's cryptosystem which was based on the LWE,and gave the way how to generate the lattice in this cryptosystem.This application proves the useful of this method.

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Available abstract

After analyzing the way to attack RSA system and NTRU system based on the lattice reduction,this paper presented a method how to generate the lattice in the lattice reduction.The method was mainly used in the cryptosystems which had the vectors,polynomials or find the small solutions to the equation of the higher degree.In the end,the method was realized in the Regev's cryptosystem which was based on the LWE,and gave the way how to generate the lattice in this cryptosystem.This application proves the useful of this method.

Key concepts: NTRU, Cryptosystem, Lattice reduction, Lattice problem, Lattice (music), Computer science, Cryptanalysis, Lattice-based cryptography

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