Paper 2013/142

A NEW METHOD OF CHOOSING PRIMITIVE ELEMENTS FOR BREZING-WENG FAMILIES OF PAIRING FRIENDLY ELLIPTIC CURVES

Kisoon YOON

Abstract

In this paper we present a new method of choosing primitive elements for Brezing-Weng families of pairing friendly elliptic curves with small rho-value, and we improve on previously-known best rho-values of families for the cases k=16, 22, 28 and 46. Our construction uses fixed discriminants.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
elliptic curvesfinite fieldspairing-based cryptography
Contact author(s)
kisoon yoon @ unicaen fr
History
2013-03-13: received
Short URL
https://ia.cr/2013/142
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2013/142,
      author = {Kisoon YOON},
      title = {A NEW METHOD OF CHOOSING PRIMITIVE ELEMENTS FOR BREZING-WENG FAMILIES OF PAIRING FRIENDLY ELLIPTIC CURVES},
      howpublished = {Cryptology ePrint Archive, Paper 2013/142},
      year = {2013},
      note = {\url{https://eprint.iacr.org/2013/142}},
      url = {https://eprint.iacr.org/2013/142}
}
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