Paper 2010/125

Cryptographic Aspects of Real Hyperelliptic Curves

M. J. Jacobson Jr., R. Scheidler, and A. Stein

Abstract

In this paper, we give an overview of cryptographic applications using real hyperelliptic curves. We review previously proposed cryptographic protocols, and discuss the infrastructure of a real hyperelliptic curve, the mathematical structure underlying all these protocols. We then describe recent improvements to infrastructure arithmetic, including explicit formulas for divisor arithmetic in genus 2; and advances in solving the infrastructure discrete logarithm problem, whose presumed intractability is the basis of security for the related cryptographic protocols.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. Tatra Mountains Mathematical Publication
Keywords
hyperelliptic curve cryptosystemspublic-key cryptography
Contact author(s)
jacobs @ cpsc ucalgary ca
History
2010-03-06: received
Short URL
https://ia.cr/2010/125
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2010/125,
      author = {M.  J.  Jacobson Jr. and R.  Scheidler and A.  Stein},
      title = {Cryptographic Aspects of Real Hyperelliptic Curves},
      howpublished = {Cryptology ePrint Archive, Paper 2010/125},
      year = {2010},
      note = {\url{https://eprint.iacr.org/2010/125}},
      url = {https://eprint.iacr.org/2010/125}
}
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