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电信和无线电工程
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN 打印: 0040-2508
ISSN 在线: 1943-6009

卷:
卷 79, 2020 卷 78, 2019 卷 77, 2018 卷 76, 2017 卷 75, 2016 卷 74, 2015 卷 73, 2014 卷 72, 2013 卷 71, 2012 卷 70, 2011 卷 69, 2010 卷 68, 2009 卷 67, 2008 卷 66, 2007 卷 65, 2006 卷 64, 2005 卷 63, 2005 卷 62, 2004 卷 61, 2004 卷 60, 2003 卷 59, 2003 卷 58, 2002 卷 57, 2002 卷 56, 2001 卷 55, 2001 卷 54, 2000 卷 53, 1999 卷 52, 1998 卷 51, 1997

电信和无线电工程

DOI: 10.1615/TelecomRadEng.v76.i6.70
pages 535-549

METHOD FOR DETERMINING THE ORDER OF THE POINT ON A TWISTED EDWARDS CURVE

A.V. Bessalov
Institute of Physics and Technology, NTUU "КPI" 37, Peremogy Ave., Kyiv, 03056, Ukraine

ABSTRACT

The analysis of small order points properties of the Edwards twisted curves with parameters (a/p) = (d/p) = −1 is given. A theorem about necessary and sufficient conditions for divisibility of points of a curve by2 is proved. A fast method for finding the point's order of the Edwards twisted curve with nearly prime order of 4n is proposed.


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