Digital audio signals encryption by Mobius transformation and Hénon map

In data encryption, recently commonly used schemes are chaos-based due to their properties of sensitivity to initial conditions, control parameters, and pseudo-randomness. The chaotic crypto-algorithms are appropriate for extensive data encryption for images, audio or videos. In this paper, a novel audio encryption algorithm based on substitution and permutation network is proposed. In this study, Mobius transformation is used as a source to generate strong S-boxes for the substitution network and the Hénon chaotic map that performs pixel-wise permutation as employed for the permutation network. The proposed algorithm is tested several times with different sizes of audio files; the experimental outcomes show that the proposed algorithm has effective complexity and suitable for audio encryption and hence for secure audio communication.

[1]  Tariq Shah,et al.  A group theoretic approach to construct cryptographically strong substitution boxes , 2012, Neural Computing and Applications.

[2]  Krasimir Kordov,et al.  A Novel Audio Encryption Algorithm with Permutation-Substitution Architecture , 2019, Electronics.

[3]  Tariq Shah,et al.  Construction of highly nonlinear S-boxes for degree 8 primitive irreducible polynomials over ℤ2 , 2018, Multimedia Tools and Applications.

[4]  Vincent Rijmen,et al.  The Design of Rijndael: AES - The Advanced Encryption Standard , 2002 .

[5]  T. Shah,et al.  Analysis of S-box in Image Encryption Using Root Mean Square Error Method , 2012 .

[6]  Wolfgang Fichtner,et al.  A 177 Mb/s VLSI implementation of the International Data Encryption Algorithm , 1994 .

[7]  S. Ramakrishnan,et al.  Speech encryption using chaotic shift keying for secured speech communication , 2017, EURASIP J. Audio Speech Music. Process..

[8]  Pulak Mishra,et al.  Mergers, Acquisitions and Export Competitive- ness: Experience of Indian Manufacturing Sector , 2012 .

[9]  K. Prasadh,et al.  Audio encryption using higher dimensional chaotic map , 2009 .

[10]  Eli Biham,et al.  Differential cryptanalysis of DES-like cryptosystems , 1990, Journal of Cryptology.

[11]  Shiguo Lian,et al.  A novel color image encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2012, J. Syst. Softw..

[12]  Juliano B. Lima,et al.  Audio encryption based on the cosine number transform , 2016, Multimedia Tools and Applications.

[13]  M. Hénon.  A two-dimensional mapping with a strange attractor , 1976 .

[14]  Hyoungshick Kim,et al.  An image encryption scheme with a pseudorandom permutation based on chaotic maps , 2010 .