JIS  Vol.5 No.4 , October 2014
Method of Designing Generators of Pseudorandom Sequences for Information Protection Based on Shift Register with Non-Linear Feedback Function
Author(s) Saleh Al-Omar
ABSTRACT
This paper proposes an efficient, high-tech method of construction of pseudorandom binary sequences generators with a repetition period 2n for n-bit shift register with a nonlinear feedback function. The developed method is illustrated by constructing a nonlinear function feedback shift register. It is proved that the offered method requires the realization of a memory size proportional to n2 that allows making successful use of suitable generators for practical use on the shift register of the longer word.

Cite this paper
Al-Omar, S. (2014) Method of Designing Generators of Pseudorandom Sequences for Information Protection Based on Shift Register with Non-Linear Feedback Function. Journal of Information Security, 5, 218-227. doi: 10.4236/jis.2014.54020.
References
[1]   Obeidat, A. (2012) Burst Error Correction Method Based on Arithmetic Weighted Checksums. Engineering, 4, 768-773. http://dx.doi.org/10.4236/eng.2012.411098

[2]   Luby, M. (1996) Pseudorandomness and Cryptographic Applications. Princeton University Press, Princeton, 273 p.

[3]   Golomb, S.W. (1982) Shift Register Sequences. Aegean Park Press, Laguna Hill, 324 p.

[4]   Menezer, A.J., Van Oorschot, P.C. and Vanstone, S.A. (1997) Handbook of Applied Cryptography. CRC Press, Boca Raton, 780 р.

[5]   Sarkar, P. and Maitra, S. (2001) Efficient Implementation of “Large” Stream Cipher Systems. Proceeding of 3th International Workshop “Cryptographic Hardware and Embedded Systems” (CHES-2001), Springer-Verlag, 319-332.

[6]   Key, E.L. (1976) An Analysis of the Structures and Complexity of Nonlinear Binary Sequence Generators. IEEE Transaction on Information Theory, 22, 732-736.
http://dx.doi.org/10.1109/TIT.1976.1055626

[7]   Sidorenko, V., Richter, G. and Bossert, M. (2011) Linearized Shift-Register Synthesis. IEEE Transaction on Information Theory, 57, 6025-6032.

[8]   (2000) NIST Special Publicaion 800-22: A Statistical Test Suite for Random and Pseudorandom Number. 348 p.

[9]   Gutierrez, J., Shparlinski, I.A. and Winterhof, A. (2003) On the Linear and Nonlinear Complexity Profile on Nonlinear Pseudorandom Number Generators. IEEE Transaction on Information Theory, 49, 60-64.

 
 
Top