Journal of South China University of Technology(Natural Science) >
An Improved RMPKC Scheme
Received date: 2010-01-19
Revised date: 2010-04-28
Online published: 2010-11-25
Supported by
国家“973”计划项目(2007CB311201); 国家自然科学基金资助项目(60970119 60803149)
As the rational multivariate public key cryptosystem(RMPKC) had been broken by an improved 2R decomposition method,this paper proposes an improved RMPKC scheme.In this scheme,the order of the function of the first rational mapping is changed to three while that of the second remains unchanged.Based on this core idea,the requirement for conducting the 2R decomposition attack is not fulfilled.Thus,the current 2R decomposition attack is effectively resisted by the improved RMPKC scheme.It is proved that the 2R decomposition attack is valid when the order of the function of the second rational mapping is changed to three while that of the first remains unchanged.
Key words: cryptography; public key cryptography; mapping; polynomial; composition; decomposition
Yuan Feng Hu Yu-pu Ou Hai-wen Li Shun-bo . An Improved RMPKC Scheme[J]. Journal of South China University of Technology(Natural Science), 2010 , 38(11) : 135 -140 . DOI: 10.3969/j.issn.1000-565X.2010.11.024
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