Abstract
An easy method of computing the number of 1’s and 0’s (balancedness) as well as the number of runs (run quantification) in the sequence obtained from a LFSR-based pseudorandom patter generator has been developed. The procedure is a deterministic alternative to the traditional application of statistical tests. The computation method allows one to check deviation of balancedness and run distribution goodness from standard values. As a straight consequence of the above procedure, simple rules to design pattern generators with adequate pseudorandomness properties are also derived.
Work supported by Ministerio de Educación y Ciencia (Spain) Projects SEG2004-02418 and SEG2004-04352-C04-03.
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References
Bluetooth, Specifications of the Bluetooth system, Version 1.1 (February 2001), available at http://www.bluetooth.com/
Fúster-Sabater, A., García-Mochales, P.: On the Balancedness of nonlinear generators of binary sequences. Information Processing Letters 85, 111–116 (2003)
GSM, Global Systems for Mobile Communications, available at http://cryptome.org/gsm-a512.htm
Golomb, S.W.: Shift Register-Sequences, Aegean Park Press, Laguna Hill (1982)
Grassman, W.K., Trembley, J.P.: Logic and Discrete Mathematics. Prentice-Hall, Englewood Cliffs (1996)
Klapper, A.: Large Families of Sequences with Near Optimal Correlations and Large Linear Span. IEEE Trans. on Information Theory 42, 1241–1248 (1996)
Mange, D.: Analysis and Synthesis of Logic Systems, Artech House, INC., Norwood (1986)
Meier, W., Staffelbach, O.: Nonlinearity criteria for cryptographic functions. In: Quisquater, J.-J., Vandewalle, J. (eds.) EUROCRYPT 1989. LNCS, vol. 434, pp. 549–562. Springer, Heidelberg (1990)
Menezes, A.J., et al.: Handbook of Applied Cryptography. CRC Press, New York (1997)
Nelson, V.P., et al.: Digital Logic Circuit Analysis and Design. Prentice-Hall International, Englewood Cliffs (1995)
Rueppel, R.A.: Analysis and Design of Stream Ciphers. Springer, New York (1986)
Shparlinski, I.E.: On the Linear Complexity of the Power Generator, Design. Codes and Cryptography 23, 5–10 (2001)
Simmons, G.J. (ed.): Contemporary Cryptology: The Science of Information Integrity. IEEE Press, New York (1991)
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Fúster-Sabater, A., Caballero-Gil, P. (2005). A Deterministic Approach to Balancedness and Run Quantification in Pseudorandom Pattern Generators. In: Bozanis, P., Houstis, E.N. (eds) Advances in Informatics. PCI 2005. Lecture Notes in Computer Science, vol 3746. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11573036_66
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DOI: https://doi.org/10.1007/11573036_66
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