期刊文献+

优化正规基域元素乘法的快速计算

Efficient Calculation About Finite Field Multiplication in Optimal Normal Basis
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摘要 给出基域GF(2m)上优化正规基域元素乘法的一般计算公式,针对Rosing算法中预计算较多的问题,结合Ning-Yin算法思想,提出一种改进算法和3种预计算方法。与Ning-Yin算法相比,改进算法的效率提高了约20%。 This paper gives the general formula of finite field multiplication in optimal normal basis. Toward the trouble of precomputation in Rosing, by adopting Ning-Yin algorithm idea, it puts forward an improved algorithm and three precomputation methods. As a result, the new algorithm improves its efficiency by about 20% compared with Ning-Yin algorithm.
出处 《计算机工程》 CAS CSCD 北大核心 2008年第24期79-81,共3页 Computer Engineering
基金 浙江省自然科学基金资助项目(Y105067)
关键词 公钥密码体制 优化正规基 域元素乘法 Elliptic Curve Cryptosystem(ECC) optimal normal basis finite field multiplication
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参考文献5

  • 1Dahab R, Hankerson D. Software Multiplication Using Gaussian Normal Bases[J]. IEEE Transactions on Computers, 2006, 55(8): 974-984.
  • 2Mullin R C, Onyszchuk L M, Vanstone S A. Optimal Normal Bases in GF(p^n) [J]. Discrete Applied Math., 1989, 25 ( 1): 149-161.
  • 3Ash D W, Blake I F, Vanstone S A. Low Complexity Normal Bases[J]. Discrete Applied Math., 1989, 25(3): 191-210.
  • 4Rosing M. Implementing Elliptic Curve Cryptography[M]. [S. l.]: Manning Publications Company, 1998.
  • 5Ning Peng, Yin Yiqun. Efficient Software Implementation for Finite Field Multiplication in Normal Basis[C]//Proceedings of Conf. on Intbrmation and Communications Security. [S. l.]: Spring-Verlag, 2001-11: 177-181.

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