Presentation 1993/8/30
A cryptosystem on Elliptic Curves and its Properties(2)
Ryuichi Sakai, Masao Kasahara,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Rational points of an elliptic curve ovrer any field form an Abelian group.One of the most important characteristics of the groups of elliptic curves over a finite field is that they have a rich variety of structures.Finding the order of the ratonal points of an elliptic curve defined over finite field is very important problem when we construct the cryptosystems with the elliptic curves.In this paper,we present some properties of the ellpitic curves defined over finite field.We shall further discuss on the Satoh′s conjecture and the properties.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Elliptic Curve / Order / Distribution / Information security / Satoh′s conjecture
Paper # ISE93-23
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Conference Information
Committee ISEC
Conference Date 1993/8/30(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A cryptosystem on Elliptic Curves and its Properties(2)
Sub Title (in English)
Keyword(1) Elliptic Curve
Keyword(2) Order
Keyword(3) Distribution
Keyword(4) Information security
Keyword(5) Satoh′s conjecture
1st Author's Name Ryuichi Sakai
1st Author's Affiliation Department of Electronics and Information Science,Faculty of Engineering and Design,Kyoto Institute of Technology()
2nd Author's Name Masao Kasahara
2nd Author's Affiliation Department of Electronics and Information Science,Faculty of Engineering and Design,Kyoto Institute of Technology
Date 1993/8/30
Paper # ISE93-23
Volume (vol) vol.93
Number (no) 208
Page pp.pp.-
#Pages 6
Date of Issue