A Public-Key Cryptosystem Based on Conic Curve in Finite Field GF (College of Computer Science,Beijing University of Technology,Beijing 100022,China)

CAI Yong-quan; ZHAO Lei; JIN Yan-yan

您当前的位置：

首页 >

文章列表页 >

A Public-Key Cryptosystem Based on Conic Curve in Finite Field GF (College of Computer Science,Beijing University of Technology,Beijing 100022,China)

更新时间：2025-07-16

- A Public-Key Cryptosystem Based on Conic Curve in Finite Field GF (College of Computer Science,Beijing University of Technology,Beijing 100022,China)
- Acta Electronica Sinica Vol. 34, Issue 8, Pages: 1464-1468(2006)
- 作者机构：
  
  北京工业大学计算机学院,北京,100022
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP309.7
- Published：2006
- 稿件说明：
移动端阅览
CAI Yong-quan, ZHAO Lei, JIN Yan-yan. A Public-Key Cryptosystem Based on Conic Curve in Finite Field GF (College of Computer Science,Beijing University of Technology,Beijing 100022,China)[J]. Acta Electronica Sinica, 2006, 34(8): 1464-1468.
DOI：

CAI Yong-quan, ZHAO Lei, JIN Yan-yan. A Public-Key Cryptosystem Based on Conic Curve in Finite Field GF (College of Computer Science,Beijing University of Technology,Beijing 100022,China)[J]. Acta Electronica Sinica, 2006, 34(8): 1464-1468. DOI：

摘要

圆锥曲线密码学是一种新型的公钥密码学

迄今对圆锥曲线密码学的研究成果都是以有限域

GF(p)上的圆锥曲线为基础的.本文将有限域GF(p)上的圆锥曲线C(GF(p))推广为有限域GF(2

)上的圆锥曲线C(GF(2

))

证明了圆锥曲线C(GF(2

))上的点和加法运算构成有限交换群(C(GF(2

))

)

并给出了圆锥曲线群(C(GF(2

))

)的阶的计算.此外

提出了使用有限域GF(2

)上的圆锥曲线群构造公钥密码系统

并给出了

ElGamal加密方案和数字签名算法(DSA)在圆锥曲线

C(GF(2

))

上模拟的算法

最后分析其安全性.

Abstract

Conic curve cryptosystem was first introduced by CAO Zhenfu in 1998.By now

the previous study on conic curve cryptosystem has been based on conic curve group in finite field

GF(p).

Since the hardware circuits are suitable for performing addition

multiplication

squaring and the inversion operations in a finite field

GF(2

)

the operations in finite field

GF(2

) are typically easier to implement in hardware and software than their counterpart in finite field

GF(p)

.In order to speed up the computation of conic curve cryptosystem

the conic curve group is extended from finite field

GF(p)

to fini

te field

GF(2

)

and the order of the conic curve group in finite field

GF(2

) is given.In addition

this paper suggests to use conic curve group in finite field

GF(2

) for realizing public-key cryptosystem

and presents the basic ElGamal public-key encryption scheme and the Digital Signature Algorithm (DSA) based on conic curve in finite field

GF(2

)

.Security of public-key cryptosystem based on conic curve in finite field

GF(2

)

is analyzed.

关键词

Keywords

references

Views

1207

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Secure Data Aggregation Scheme in Smart Grid with Third-Party Arbitration

Efficient Directed Transitive Signature Scheme

Threshold Shared Verification Signature Encryption Scheme with Specified Receiving Groups ( 1.School of Computer Science & Technology,Harbin Institute of Technology,Harbin,Heilongjiang 150001,China; 2.Department of Computer Science & Technology,Shanghai Jiao Tong University,Shanghai 200030,China)

Proxy Multi-Signature:A New Type of Proxy Signature Schemes

Local Storage of Reputation Without the Third Parties to Validate Integrity in Peer-to-Peer Environments

Related Author

DING Yong

WANG Bing-yao

YUAN Fang

WANG Yu-jue

ZHANG Kun

TIAN Lei

HUANG Zhen-jie

HAO Yan-hua

Related Institution

Pengcheng Laboratory Cyberspace Security Research Center

School of Mathematics and Computational Science, Guilin University of Electronic Technology

Foreign Affairs and Communications Administration

National Information Center

Guangxi Key Laboratory of Cryptography and Information Security Guilin University of Electronic Technology Guilin Guangxi China

⁰