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Secure Constant-Round Protocols for DeterminingCo-Prime of Polynomials

  • HE Yun-Xiao ,
  • XU Hai-Xia ,
  • LV Ke-Wei ,
  • LI Bao
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  • State Key Lab. of Information Security, Graduate School, Chinese Academy of Sciences, Beijing 100039, China

Received date: 2003-03-11

  Revised date: 2003-05-12

  Online published: 2004-03-19

Abstract

Based on some known constant-round protocols for generating random shared values,for secure multiplicationsand for addition of shared values,we give the Shamirs sharing for polynomials in a finite field K,and constructa protocol allowing a network to securely determine whether two polynomials in K[ x] are co-prime.Security ofthe protocols constructed depends on security of these basic protocols above.

Cite this article

HE Yun-Xiao , XU Hai-Xia , LV Ke-Wei , LI Bao . Secure Constant-Round Protocols for DeterminingCo-Prime of Polynomials[J]. Journal of University of Chinese Academy of Sciences, 2004 , 21(2) : 179 -184 . DOI: 10.7523/j.issn.2095-6134.2004.2.006

References

[1] J Bar-Ilan, D Beaver.Non-cryptographic fault-tolerant computing in constant number of rounds of interaction.Proc ACM PODC89.1989.201-209

[2] R Cramer, I Damgand.Secure dist ributed linear algebra in a constant number of rounds.Proceedings of CRYPTO ' 01, Santa Barbara, Ca.SpringerVerlag LNCS, 2001

[3] R Cramer, I Damgand, UMaucer.General secure mult i-party computation f rom any linear secret-sharing scheme.Proc EUROCRYPT00,Vol.1807.SpringerVerlag LNCS, 2000.316-334

[4] D Ben-Or, S Goldwarser, A wigderson.Completeness theory for noncryptographic fault-tolerant distributed computation.Proc ACM STOC98.1988.1-10

[5] D Chaum, C Crepean, I Damgand.Multi-party unconditionally secure protocols.Proc ACM STOC98.1988.11-19

[6] 范-瓦尔登.代数学(Ⅰ)(中译本).北京:科学出版社, 1963

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