New point compression method for elliptic Fq2-curves of j-invariant 0

被引：0

作者：

Koshelev, Dmitrii ^{[1
,2
,3
]}

机构：

[1] Versailles Laboratory of Mathematics, Versailles Saint-Quentin-en-Yvelines University, France

[2] Algebra and Number Theory Laboratory, Institute for Information Transmission Problems, Russia

[3] Department of Discrete Mathematics, Moscow Institute of Physics and Technology, Russia

来源：

Finite Fields and their Applications | 2021年 / 69卷

关键词：

D O I：

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中图分类号：

学科分类号：

摘要：

Geometry - Public key cryptography - Computation theory

引用

共 36 条

[31] A new side channel resistant scalar point multiplication method for binary elliptic curves
Cohen, Aaron E.
Parhi, Keshab K.
2006 FORTIETH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS AND COMPUTERS, VOLS 1-5, 2006, : 1205 - +
[32] Rational torsion of J0(N) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5, 7 or 10
Leprévost, F
Pohst, M
Schöpp, A
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2004, 74 (1): : 193 - 203
[33] Rational torsion of J0(N) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5,7 or 10
F. Leprévost
M. Pohst
A. Schöpp
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2004, 74 : 193 - 203
[34] Cartan images and ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-torsion points of elliptic curves with rational j-invariant
Oron Y. Propp
Research in Number Theory, 2018, 4 (1)
[35] “Practical HPLC method development”, 2nd editionby L. R. Snyder, J. J. Kirkland, J. L. Glajch John Wiley & Sons, Inc., New York, Chichester; 1997. ISBN 0-471-00703-X, Price: £ 70.00/US$ 93.50
I. M. Mutton
Chromatographia, 1998, 47 (3-4) : 234 - 234
[36] Indifferentiable hashing to ordinary elliptic Fq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_{\!q}$$\end{document}-curves of j=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$j=0$$\end{document} with the cost of one exponentiation in Fq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_{\!q}$$\end{document}
Dmitrii Koshelev
Designs, Codes and Cryptography, 2022, 90 (3) : 801 - 812

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