WSEAS Transactions on Systems and Control


Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 13, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 13, 2018



Determining the Feedback Multipliers in a p-ary Linear Feedback Shift Registers

AUTHORS: Antoniya Tasheva, Zhaneta Savova-Tasheva, Boyan Petrov, Kamen Stoykov

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ABSTRACT: This paper focuses on a method for construction both Galois and Fibonacci p-ary LFSRs. Theorems for the transformations of the primitive polynomial generating the extended Galois field GF(p L ) that need to be done in order to receive the values of the multiplier coefficients of the register’s feedback polynomial are proven. An algorithm for the transformation is proposed.

KEYWORDS: pLFSR, primitive polynomial, feedback polynomial, feedback multipliers, Galois LFSR, Fibonacci LFSR

REFERENCES:

[1] Arnault, François, Thierry Berger, Marine Minier, and Benjamin Pousse. 'Revisiting LFSRs for cryptographic applications.' Information Theory, IEEE Transactions on Volume 57, Number 12, 2011, pp. 8095-8113.

[2] Gong, Guang. 'Sequence analysis.' Lecture Notes for CO739x, 1999, ps. 137.

[3] M. Goresky, A. Klapper, Fibonacci and Galois Representations of Feedback-With-Carry Shift Registers, IEEE Trans. on Inform. Theory, vol. 48, pp. 2826−2836, November 2002.

[4] Goresky, Mark, and Andrew Klapper. Algebraic Shift Register Sequences. Cambridge University Press. 2012, ps. 514.

[5] Klein, Andreas. Stream Ciphers. SpringerVerlag London. 2013, ps. 399.

[6] Lidl, Rudolf. Introduction to finite fields and their applications. Cambridge university press, 1994, ps. 415.

[7] W. Li and X. Yang, 'A Parallel and Reconfigurable United Architecture for Fibonacci and Galois LFSR,' 2015 7th International Conference on Intelligent Human-Machine Systems and Cybernetics, Hangzhou, 2015, pp. 203-206.

[8] G. Mrugalski, J. Rajski and J. Tyszer, Ring generators - new devices for embedded test applications, IEEE Transactions on ComputerAided Design of Integrated Circuits and Systems, vol. 23, no. 9, pp. 1306-1320, Sept. 2004.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 13, 2018, Art. #45, pp. 420-424


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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