Title :
Some properties of sequences generated by Chebyshev polynomials modulo 2k
Author :
Yoshioka, Daisaburo ; Dainobu, Yuta
Author_Institution :
Dept. of Comput. & Inf. Sci., Sojo Univ., Kumamoto, Japan
Abstract :
A public key cryptosystem using Chebyshev polynomials defined on a finite set is recently introduced. In this paper, we clarify some properties of the sequences generated by Chebyshev polynomials modulo 2k. Based on the finding, the factual key space of a recently proposed key exchange protocol based on Chebyshev polynomials modulo 2k is analyzed.
Keywords :
cryptographic protocols; polynomials; public key cryptography; sequences; Chebyshev polynomials modulo 2k; key exchange protocol; public key cryptosystem; Chaos; Chebyshev approximation; Polynomials; Protocols; Public key; Space vehicles;
Conference_Titel :
Circuits and Systems (ISCAS), 2015 IEEE International Symposium on
Conference_Location :
Lisbon
DOI :
10.1109/ISCAS.2015.7168766