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Problemy Peredachi Informatsii, 2017, Volume 53, Issue 1, Pages 101–111 (Mi ppi2231)  
This article is cited in 8 scientific papers (total in 8 papers)

Information Protection

Number of curves in the generalized Edwards form with minimal even cofactor of the curve order

A. V. Bessalovab, O. V. Tsygankovaa

a Institute of Physics and Technology, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine
b Borys Grinchenko Kyiv University, Kyiv, Ukraine
Full-text PDF (185 kB) Citations (8)
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Abstract: We analyze properties of points of orders $2, 4$, and $8$ of a curve in the generalized Edwards form. Arithmetic for group operations with singular points of these curves is introduced. We propose a classification of curves in the Edwards form into three disjoint classes. Formulas for the number of curves of order $4n$ of different classes are obtained. Works of other authors are critically analyzed.
Received: 15.12.2015
Revised: 23.09.2016
English version:
Problems of Information Transmission, 2017, Volume 53, Issue 1, Pages 92–101
DOI: https://doi.org/10.1134/S0032946017010082
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:519.7
Language: Russian
Citation: A. V. Bessalov, O. V. Tsygankova, “Number of curves in the generalized Edwards form with minimal even cofactor of the curve order”, Probl. Peredachi Inf., 53:1 (2017), 101–111; Problems Inform. Transmission, 53:1 (2017), 92–101
Citation in format AMSBIB
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\pages 101--111
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  • https://www.mathnet.ru/eng/ppi/v53/i1/p101
    • This publication is cited in the following 8 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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    References:33
    First page:11
     
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