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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)
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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
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\paper Interrelation of families of points of high order on the Edwards curve over a~prime field
\jour Probl. Peredachi Inf.
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\pages 92--98
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\jour Problems Inform. Transmission
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  • 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
     
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