| 基于实数域扩散离散Chebyshev多项式的公钥加密算法 |
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| 引用本文： | 陈宇,韦鹏程.基于实数域扩散离散Chebyshev多项式的公钥加密算法[J].计算机科学,2011,38(10):121-122. |
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| 作者姓名： | 陈宇 韦鹏程 |
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| 作者单位： | 重庆教育学院计算机科学系 重庆400067 |
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| 基金项目： | 国家自然科学基金项目(60703035); 重庆市自然科学基金项目(2009BBB2227); 重庆市教委项目(KJ091501,KJ091502,KJ101501,KJ101502)资助 |
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| 摘 要： | 将Chebyshev多项式与模运算相结合,对其定义在实数域上进行了扩展,经过理论验证和数据分析,总结出实数域多项式应用于公钥密码的一些性质.利用RSA公钥算法和ElGamal公钥算法的算法结构,提出基于有限域离散Chebyshev多项式的公钥密码算法.该算法结构类似于RSA算法,其安全性基于大数因式分解的难度或者与El...
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| 关 键 词： | 公钥加密 Chebyshev多项式 实数域 混沌映射 |
Public-key Encryption Based on Extending Discrete Chebyshev Polynomials' Definition Domain to Real Number |
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| CHEN Yu,WEI Pcng-cheng.Public-key Encryption Based on Extending Discrete Chebyshev Polynomials' Definition Domain to Real Number[J].Computer Science,2011,38(10):121-122. |
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| Authors: | CHEN Yu WEI Pcng-cheng |
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| Affiliation: | (Dept. of Computer Science,Chongqing Education College,Chongqing 400067,China) |
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| Abstract: | By combining Chebyshev polynomials with modulus compute,extending Chebyshev polynomials' definition domain to real number,some conclusions were drawn by theoretic verification and data analysis.Making use of the framework of the traditional public-key algorithm RSA and ElGamal,proposed a chaotic public-key encryption algorithm based on extending discrete Chebyshev polynomials' definition domain to Real number.Its security is based on the intractability of the integer factorization problem as RSA,and it is a... |
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| Keywords: | Public-key encryption Chcbyshcv polynomials Rcal number domain Chaotic map |
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