Problemy Peredachi Informatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Problemy Peredachi Informatsii, 2015, Volume 51, Issue 4, Pages 92–98 (Mi ppi2190)  
This article is cited in 5 scientific papers (total in 5 papers)

Information Protection

Interrelation of families of points of high order on the Edwards curve over a prime field

A. V. Bessalov, O. V. Tsygankova

Institute of Physics and Technology, National Technical University of Ukraine "Kyiv Polytechnic Institute", Kyiv, Ukraine
Full-text PDF (200 kB) Citations (5)
References:
PDF
HTML
Abstract: We propose a modification of the addition law on the Edwards curve over a prime field. We prove three theorems on properties of coordinates of high-order points and on a degenerate pair of twisted curves. We propose an algorithm for reconstructing all unknown points $kP$ of the Edwards curve when only $1/8$ of the points are known.
Received: 03.12.2014
Revised: 15.06.2015
English version:
Problems of Information Transmission, 2015, Volume 51, Issue 4, Pages 391–397
DOI: https://doi.org/10.1134/S0032946015040080
Bibliographic databases:
Document Type: Article
UDC: 621.391.15+519.7
Language: Russian
Citation: A. V. Bessalov, O. V. Tsygankova, “Interrelation of families of points of high order on the Edwards curve over a prime field”, Probl. Peredachi Inf., 51:4 (2015), 92–98; Problems Inform. Transmission, 51:4 (2015), 391–397
Citation in format AMSBIB
\Bibitem{BesTsy15}
\by A.~V.~Bessalov, O.~V.~Tsygankova
\paper Interrelation of families of points of high order on the Edwards curve over a~prime field
\jour Probl. Peredachi Inf.
\yr 2015
\vol 51
\issue 4
\pages 92--98
\mathnet{http://mi.mathnet.ru/ppi2190}
\elib{https://elibrary.ru/item.asp?id=27944605}
\transl
\jour Problems Inform. Transmission
\yr 2015
\vol 51
\issue 4
\pages 391--397
\crossref{https://doi.org/10.1134/S0032946015040080}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000367604200008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84952944996}
Linking options:
  • https://www.mathnet.ru/eng/ppi2190
  • https://www.mathnet.ru/eng/ppi/v51/i4/p92
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
    Statistics & downloads:
    Abstract page:290
    Full-text PDF :57
    References:63
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024