Cryptanalysis and improvement of a three-party key agreement protocol using enhanced Chebyshev polynomials

Three-party key agreement protocol is an important cryptographic mechanism for secure communication, which allows two parties authenticate each other with the help of a trusted server. Very recently, Lai et al.’s proposed a novel three-party key agreement protocol using the enhanced Chebyshev chaotic map and claimed their protocol could withstand various attacks. Unfortunately, in this paper, we will show their protocol is vulnerable to the privileged insider attack and the off-line password guessing attack. To solve the problems, we propose an improved three-party key agreement protocol using the enhanced Chebyshev chaotic map. Security analysis and performance analysis show our protocol not only could withstand various attacks, but also has similar performance. Therefore, it is very suitable for practical applications.

[1]  Yixian Yang,et al.  Applying Semigroup Property of Enhanced Chebyshev Polynomials to Anonymous Authentication Protocol , 2012 .

[2]  Nigel P. Smart,et al.  AN IDENTITY BASED AUTHENTICATED KEY AGREEMENT PROTOCOL BASED ON THE WEIL PAIRING , 2001 .

[3]  Kyung-Ah Shim.  Efficient ID-based authenticated key agreement protocol based on Weil pairing , 2003 .

[4]  Long-Jye Sheu,et al.  A speech encryption using fractional chaotic systems , 2011 .

[5]  Jianhua Chen,et al.  Note on 'Design of improved password authentication and update scheme based on elliptic curve cryptography' , 2012, Math. Comput. Model..

[6]  G. P. Biswas,et al.  Design of improved password authentication and update scheme based on elliptic curve cryptography , 2013, Math. Comput. Model..

[7]  Song Han,et al.  Security of a key agreement protocol based on chaotic maps , 2008 .

[8]  Debiao He,et al.  Cryptanalysis and improvement of an extended chaotic maps-based key agreement protocol , 2012, Nonlinear Dynamics.

[9]  Rui Zhang,et al.  A new two-round certificateless authenticated key agreement protocol without bilinear pairings , 2011, Mathematical and computer modelling.

[10]  Sahadeo Padhye,et al.  An efficient certificateless two-party authenticated key agreement protocol , 2012, Comput. Math. Appl..

[11]  Zuowen Tan,et al.  A chaotic maps-based authenticated key agreement protocol with strong anonymity , 2013, Nonlinear Dynamics.

[12]  Whitfield Diffie,et al.  New Directions in Cryptography , 1976, IEEE Trans. Inf. Theory.

[13]  Xingyuan Wang,et al.  An anonymous key agreement protocol based on chaotic maps , 2011 .

[14]  Eun-Jun Yoon,et al.  Efficiency and security problems of anonymous key agreement protocol based on chaotic maps , 2012 .

[15]  X. Liao,et al.  An extended method for obtaining S-boxes based on three-dimensional chaotic Baker maps , 2007 .

[16]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[17]  Linhua Zhang.  Cryptanalysis of the public key encryption based on multiple chaotic systems , 2008 .

[18]  Jianhua Li,et al.  Strongly secure identity-based authenticated key agreement protocols , 2011, Comput. Electr. Eng..

[19]  Zhenfeng Zhang,et al.  Chaotic encryption algorithm based on alternant of stream cipher and block cipher , 2011 .

[20]  Peilin Hong,et al.  Security improvement on an anonymous key agreement protocol based on chaotic maps , 2012 .

[21]  Sahadeo Padhye,et al.  A pairing‐free certificateless authenticated key agreement protocol , 2012, Int. J. Commun. Syst..

[22]  Xiaofeng Liao,et al.  A novel key agreement protocol based on chaotic maps , 2007, Inf. Sci..

[23]  Wuu Yang,et al.  A Chaotic Maps-Based Key Agreement Protocol that Preserves User Anonymity , 2009, 2009 IEEE International Conference on Communications.

[24]  Xing-yuan Wang,et al.  A chaotic image encryption algorithm based on perceptron model , 2010 .

[25]  X. Liao,et al.  A block cipher with dynamic S-boxes based on tent map , 2009 .

[26]  Jianhua Chen,et al.  An Authenticated Key Agreement Protocol Using Isogenies Between Elliptic Curves , 2011, Int. J. Comput. Commun. Control.

[27]  Cheng-Chi Lee,et al.  An extended chaotic maps-based key agreement protocol with user anonymity , 2011, Nonlinear Dynamics.

[28]  Xiaofeng Liao,et al.  A chaos-based hash function with both modification detection and localization capabilities , 2010 .