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NTRU译码错误研究 被引量:4

Study on NTRU Decryption Failure
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摘要 NTRU[1,2]是一种建立在环上的新型公钥密码体制,其理论安全性依赖于格上的难题。实验表明NTRU的运算速度远远快于RSA[2]。但是,如果NTRU的参数选择不当,那么在解密的过程中可能发生译码错误[3]。本文首先分析了译码错误产生的机理,然后在分析的基础上提出了保证无译码错误发生的NTRU参数选择的理论界。在此基础上设计了一种可以有效纠正NTRU译码错误的“补偿算法”,这个算法优于现有的NTRU纠错算法。最后给出了在NTRU推荐参数下译码错误的实例,并利用“补偿算法”对该错误进行了纠正。 NTRU is a new public key encryption scheme based on hard problems in lattice. Due to the linear operations, both encryption and decryption of NTRU are very fast. However, decryption of this scheme may be failed even for recommended parameters. In this paper, NTRU decryption failures are analyzed. As a result, the theoretical bound of parameters is presented, which guaranteed NTRU decryption free From failure. In order to correct NTRU decryption failures, we designed a compensating algorithm. To our knowledge, this algorithm is better than any other ones for NTRU decryption failure correction. An example is given at the end of this paper.
出处 《铁道学报》 EI CAS CSCD 北大核心 2005年第5期61-66,共6页 Journal of the China Railway Society
基金 现代通信国家重点实验室基金项目(51436010203QT2201)
关键词 公钥密码 NTRU 译码错误 补偿算法 public key cryptograph NTRU decryption failure compensating algorithm
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参考文献5

  • 1The NTRU Public Key Cryptosystem- A Tutorial[EB/OL].http://www.ntru.com.2004-08-12.
  • 2Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman NTRU: A Ring-Based Public Key Cryptosystem[A]. In : Proc. of ANTS Ⅲ, Vol.1423 of LNCS[C]. Springer-Verlag, 1998. 267-288.
  • 3NTRU Report 011. Wraps, Gaps, and Lattice Constants[EB/OL]. http://www.ntru.com.2004-08-12.
  • 4NTRU Report 018. Estimating Decryption Failure Probabilities for NTRU Encrypt[EB/OL]. http://www.ntru.com.2004-08-12.
  • 5Nick Howgrave-Graham, etc. NAEP: Provable Security in the Presence of Decryption Failures[EB/OL].http://www.ntru.com.2004-08-12.

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