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

Kisoon YOON

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 curves finite fields pairing-based cryptography
Contact author(s): kisoon yoon @ unicaen fr
History: 2013-03-13: received
Short URL: https://ia.cr/2013/142
License: 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},
      url = {https://eprint.iacr.org/2013/142}
}