Abstract
We propose an optimised linear attack on pseudorandom generators using a nonlinear combiner. The generators consist of a number of Linear Feedback Shift Registers (LFSR) and a non linear function f (·). We derive an attacking equation (AEQ) using a linear approximation of f(·) and the, generator polynomials of LFSRs. In the AEQ we focus on the initial value of one LFSR in the generator by eliminating the initial values of the other LFSRs using the elimination polynomial. The performance of the attack depends on the number of terms in the polynomial. We propose an optimised algorithm for an ellicient elimination polynomial. Using this attack we can determine the initial value of the LFSR from the tapped bits whose number is much smaller than the period of the pseudorandom generator.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Ding: “The Differential Cryptanalysis and Design of Natural Stream Ciphers”, LNCS vol.809, pp.101–115, Springer-Verlag, Berlin, 1991
Golić: “Linear Cryptanalysis of Stream Ciphers”, LNCS vol.1008, pp.154–169, Springer-Verlag, Berlin, 1995
Matsuzaki, Ohmori, Tatebayashi: “A Study on Stream Ciphers suitable for Conditional Access to Digital Broadcasting System”, ISEC95-6
Mohri,Morii: “A Probabilistic Algorithm for Minimum Distance of Cyclic Codes”,SITA96
Matsui: “Linear Cryptanalysis of DES Cipher (I)”, SCIS93-3C
Moriyasu, Morii, Kasahara: “Nonlinear Pseudo-Random Sequence Generator with Dynamic Structure and Its Properties”, ISEC93-7
Ruppel: “Correlation Immunity and the Summation Generator”, LNCS vol.218, Springer Verlag
Rueppel: “Design and Analysis of Stream Ciphers”, Springer Verlag
Shiraishi, Morii: “Some notes on the Non-linear Combiner Generator and that against a Linear Attack”, ISEC96-3
Siegenthaler: “Decrypting a Class of Ciphers using Ciphertext only”, IEEE C-34, pp.81–85, Jan.1985
Schneiner: “APPLIED CRYPTOGRAPHY”, WILEY
Tanaka, Kaneko: “A Linear Attack to the Random Generator by Non Linear Combiner”, The Transaction of the Institute of Electronics, Information and Communication Engineers, vol.J79, A, No.8, pp.1360–1368, 1996
Tanaka, Kaneko: “A Linear Attack to the Random Generator by Non Linear Combiner”, ISITA96
Tanaka, Kaneko: “A Study on a Quadratic Approximation Attack to the Reformed Dynamic Random Generator”, ISEC96-44
Zeng, Huang: “On the Linear Syndrome Method in Cryptanalysis”, LNCS vol.403, pp.469–478, Springer-Verlag, Berlin, 1988
Zeng, Yang, Rao: “On the linear consistency test in cryptanalysis and its applications”, LNCS vol.435, pp.164–174, Springer-Verlag, Berlin, 1989
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tanaka, H., Ohishi, T., Kaneko, T. (1998). An optimised linear attack on pseudorandom generators using a non-linear combiner. In: Okamoto, E., Davida, G., Mambo, M. (eds) Information Security. ISW 1997. Lecture Notes in Computer Science, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030407
Download citation
DOI: https://doi.org/10.1007/BFb0030407
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64382-1
Online ISBN: 978-3-540-69767-1
eBook Packages: Springer Book Archive