Updated standards for validating elliptic curves

Laura Hitt

Paper 2007/343

Updated standards for validating elliptic curves

Laura Hitt

Abstract

We give a concise statement of a test for security of elliptic curves that should be inserted into the standards for elliptic curve cryptography. In particular, current validation for parameters related to the MOV condition that appears in the latest draft of the IEEE P1363 standard \cite[Section A.12.1, Section A.16.8]{P1363} should be replaced with our subfield-adjusted MOV condition. Similarly, the Standards for Efficient Cryptography Group's document SEC 1 \cite{sec_1} should make adjustments accordingly.

Metadata

Available format(s): PDF PS
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curve cryptography MOV condition discrete logarithm security
Contact author(s): lhitt @ math utexas edu
History: 2007-09-05: received
Short URL: https://ia.cr/2007/343
License: CC BY

BibTeX

@misc{cryptoeprint:2007/343,
      author = {Laura Hitt},
      title = {Updated standards for validating elliptic curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/343},
      year = {2007},
      url = {https://eprint.iacr.org/2007/343}
}