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Information Technology Convergence, Secure and Trust Computing, and Data Management pp 145–153Cite as

Isomorphism Classes of Jacobi Quartic Curve over Finite Fields

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 180))

Abstract

Jacobi quartic curve are an important model for elliptic curves in cryptography. In this paper, we give exact formulas for the number of \(\bar{F}_q\) - isomorphism classes of Jacobi quartic curves and generalized Jacobi quartic curves. This answers a question recently asked by R. Farashahi and I. Shparlinski.

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References

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Author information

Authors and Affiliations

  1. College of Sciences, North China University of Technology, Beijing, 100144, China

    Hongfeng Wu

  2. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Rongquan Feng

Authors
  1. Hongfeng Wu
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  2. Rongquan Feng
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Corresponding author

Correspondence to Hongfeng Wu .

Editor information

Editors and Affiliations

  1. SeoulTech, Computer Science and Engineering, Seoul University Science & Technology, Gongreung 2-dong 172, Seoul, 139-743, Korea, Republic of (South Korea)

    Jong Hyuk (James) Park

  2. , Division of e-Business, Kyungnam University, Changwon, Korea, Republic of (South Korea)

    Jongsung Kim

  3. , Department of Information Security, Huazhong University of Science and Techn, Luoyu Road 1037, Wuhan, 430074, China, People's Republic

    Deqing Zou

  4. , Division of Computer Engineering, Mokwon University, 800 Doan-dong, Seo-gu, Daejeon, 302-729, Korea, Republic of (South Korea)

    Yang Sun Lee

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Wu, H., Feng, R. (2012). Isomorphism Classes of Jacobi Quartic Curve over Finite Fields. In: Park, J., Kim, J., Zou, D., Lee, Y. (eds) Information Technology Convergence, Secure and Trust Computing, and Data Management. Lecture Notes in Electrical Engineering, vol 180. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5083-8_19

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  • DOI: https://doi.org/10.1007/978-94-007-5083-8_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5082-1

  • Online ISBN: 978-94-007-5083-8

  • eBook Packages: EngineeringEngineering (R0)

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