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J-GLOBAL ID:201702272136649145   Reference number:17A0148575

A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms

効率的に計算可能な自己同形写像を用いた種数2の超楕円曲線の族に関するWeilペアリング
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Material:
Volume: E100.A  Issue:Page: 62-72(J-STAGE)  Publication year: 2017 
JST Material Number: U0466A  ISSN: 1745-1337  Document type: Article
Article type: 原著論文  Country of issue: Japan (JPN)  Language: ENGLISH (EN)
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Algebra  ,  Geometry  ,  Code theory  ,  Data protection 
Reference (24):
  • [1] M. Scott, “Scaling security in pairing-based protocols,” Cryptology ePrint Archive, Report 2005/139, Available: http://eprint.iacr.org/2005/139, 2005.
  • [2] C.-A. Zhao, D. Xie, F. Zhang, J. Zhang, and B.-L. Chen, “Computing bilinear pairings on elliptic curves with automorphisms,” Des. Codes Cryptogr., vol.58, no.1, pp.35-44, 2011.
  • [3] X. Fan, G. Gong, and D. Jao, “Speeding up pairing computations on genus 2 hyperelliptic curves with efficiently computable automorphisms,” Pairing-Based Cryptography, Pairing 2008, Lecture Notes in Computer Science, vol.5209, pp.243-264, Springer Berlin Heidelberg, 2008.
  • [4] R. Barbulescu, P. Gaudry, A. Joux, and E. Thomé, “A heuristic quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic,” Advances in Cryptology, EUROCRYPT 2014, Lecture Notes in Computer Science, vol.8441, pp.1-16, Springer Berlin Heidelberg, Berlin, Heidelberg, 2014.
  • [5] R. Barbulescu, P. Gaudry, A. Guillevic, and F. Morain, “Improving NFS for the discrete logarithm problem in non-prime finite fields,” Advances in Cryptology, EUROCRYPT 2015, Lecture Notes in Computer Science, vol.9056, pp.129-155, Springer Berlin Heidelberg, Berlin, Heidelberg, 2015.
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