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2006•Journal of Huaiyin Institute of TechnologyRequires access

NTRU Public Key Cryptosystem and Its Analysis of Security

Wei Shi-minb

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Abstract

NTRU is a new public key cryptosystem.The encryption procedure uses a mixing system based on polynomial algebra and reduction modulo two p and q.The decryption procedure uses an un-mixing system whose validity depends on elementary probability theory.The security of the NTRU public key cryptosystem comes from the interaction of the polynomial mixing system with the independence of reduction modulo p and q and the difficulty in finding extremely short vectors.In this paper,the basic NTRU,s encryption algorithm is described and the security of NTRU is specially analyzed.

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What this paper is about

NTRU is a new public key cryptosystem.The encryption procedure uses a mixing system based on polynomial algebra and reduction modulo two p and q.The decryption procedure uses an un-mixing system whose validity depends on elementary probability theory.The security of the NTRU public key cryptosystem comes from the interaction of the polynomial mixing system with the independence of reduction modulo p and q and the difficulty in finding extremely short vectors.In this paper,the basic NTRU,s encryption algorithm is described and the security of NTRU is specially analyzed.

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Available abstract

NTRU is a new public key cryptosystem.The encryption procedure uses a mixing system based on polynomial algebra and reduction modulo two p and q.The decryption procedure uses an un-mixing system whose validity depends on elementary probability theory.The security of the NTRU public key cryptosystem comes from the interaction of the polynomial mixing system with the independence of reduction modulo p and q and the difficulty in finding extremely short vectors.In this paper,the basic NTRU,s encryption algorithm is described and the security of NTRU is specially analyzed.

Key concepts: NTRU, Cryptosystem, Modulo, Public-key cryptography, Public key cryptosystem, Encryption, Mathematics, Computer science

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