DocumentCode :
2147997
Title :
A New Key Exchange Scheme Based on Chebyshev Polynomials
Author :
Wang, Dahu ; Yang, Haizhu ; Yu, Fashan ; Wang, Xudong
Volume :
2
fYear :
2008
fDate :
27-30 May 2008
Firstpage :
124
Lastpage :
127
Abstract :
Kocarev gave the first cryptosystems based on the semi-group property of Chebyshev polynomials, which seemed excellent but actually insecure. Due to the inherent periodicity of trigonometric function, an attack can easily get plaintext given ciphertext. In this paper, we extend Chebyshev polynomials from real number to finite fields to avoid the attack and present the corresponding key exchange scheme, which is secure and practical.
Keywords :
Arithmetic; Automation; Chebyshev approximation; Elliptic curve cryptography; Equations; Galois fields; Mathematics; Performance analysis; Polynomials; Signal processing; Chebyshev polynomials; key exchange scheme; semi-group property;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Image and Signal Processing, 2008. CISP '08. Congress on
Conference_Location :
Sanya, China
Print_ISBN :
978-0-7695-3119-9
Type :
conf
DOI :
10.1109/CISP.2008.727
Filename :
4566281
Link To Document :
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