The research of generating secure elliptic curve over GF(p)

Ai Qin Hou; Bao Jian Gao; Jun Wang

doi:10.1109/ICISE.2009.1270

The research of generating secure elliptic curve over GF(p)

Ai Qin Hou^*, Bao Jian Gao, Jun Wang

^*Corresponding author for this work

Surgery, Breast Surgery Division

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

Generating a secure elliptic curve is complicated and there are only a few algorithms for some special elliptic curves at present. In this paper an algorithm of generating an elliptic curve over prime field GF (p) with a prime number order is discussed. Another algorithm of generating an elliptic curve with an order which equals to the product of two prime numbers is proposed.

Original language	English (US)
Title of host publication	2009 1st International Conference on Information Science and Engineering, ICISE 2009
Pages	1909-1911
Number of pages	3
DOIs	https://doi.org/10.1109/ICISE.2009.1270
State	Published - Dec 1 2009
Event	1st International Conference on Information Science and Engineering, ICISE2009 - Nanjing, China Duration: Dec 26 2009 → Dec 28 2009

Conference

Conference	1st International Conference on Information Science and Engineering, ICISE2009
Country	China
City	Nanjing
Period	12/26/09 → 12/28/09

Keywords

Base point of EC
Elliptic curve (EC)
Order of a point on EC
Order of an EC

ASJC Scopus subject areas

Information Systems

Access to Document

10.1109/ICISE.2009.1270

Cite this

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title = "The research of generating secure elliptic curve over GF(p)",

abstract = "Generating a secure elliptic curve is complicated and there are only a few algorithms for some special elliptic curves at present. In this paper an algorithm of generating an elliptic curve over prime field GF (p) with a prime number order is discussed. Another algorithm of generating an elliptic curve with an order which equals to the product of two prime numbers is proposed.",

keywords = "Base point of EC, Elliptic curve (EC), Order of a point on EC, Order of an EC",

author = "Hou, {Ai Qin} and Gao, {Bao Jian} and Jun Wang",

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AU - Hou, Ai Qin

AU - Gao, Bao Jian

AU - Wang, Jun

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N2 - Generating a secure elliptic curve is complicated and there are only a few algorithms for some special elliptic curves at present. In this paper an algorithm of generating an elliptic curve over prime field GF (p) with a prime number order is discussed. Another algorithm of generating an elliptic curve with an order which equals to the product of two prime numbers is proposed.

AB - Generating a secure elliptic curve is complicated and there are only a few algorithms for some special elliptic curves at present. In this paper an algorithm of generating an elliptic curve over prime field GF (p) with a prime number order is discussed. Another algorithm of generating an elliptic curve with an order which equals to the product of two prime numbers is proposed.

KW - Base point of EC

KW - Elliptic curve (EC)

KW - Order of a point on EC

KW - Order of an EC

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