The multi-dimension RSA and its low exponent security

Zhenfu Cao

doi:10.1007/BF02916982

The multi-dimension RSA and its low exponent security

Zhenfu Cao^*

^*Corresponding author for this work

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Using a well-known result of polynomial over the finite field double-struck F sign_p, we show that the Euler-Fermat theorem holds in _N[x]. We present a multi-dimension RSA cryptosystem and point out that low exponent algorithm of attacking RSA is not suitable for the multi-dimension RSA. Therefore, it is believed that the security of the new cryptosystem is mainly based on the factorization of large integers.

Original language	English
Pages (from-to)	349-354
Number of pages	6
Journal	Science in China, Series E: Technological Sciences
Volume	43
Issue number	4
DOIs	https://doi.org/10.1007/BF02916982
State	Published - Aug 2000
Externally published	Yes

Keywords

Euler-Ferma theorem in [x]
Factorization
Low exponent security
Multi-dimension RSA
Polynomial over finite field

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10.1007/BF02916982

Cite this

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AB - Using a well-known result of polynomial over the finite field double-struck F signp, we show that the Euler-Fermat theorem holds in N[x]. We present a multi-dimension RSA cryptosystem and point out that low exponent algorithm of attacking RSA is not suitable for the multi-dimension RSA. Therefore, it is believed that the security of the new cryptosystem is mainly based on the factorization of large integers.

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KW - Factorization

KW - Low exponent security

KW - Multi-dimension RSA

KW - Polynomial over finite field

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The multi-dimension RSA and its low exponent security

Abstract

Keywords

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