Effects of e-Derivative on Algebraic Immunity, Correlation Immunity and Algebraic Degree of H Boolean Functions

Jing Lian Huang; Zhuo Wang; Jing Zhang

doi:10.4028/www.scientific.net/AMM.411-414.45

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 411-414Effects of e-Derivative on Algebraic Immunity,...

Effects of e-Derivative on Algebraic Immunity, Correlation Immunity and Algebraic Degree of H Boolean Functions

Abstract:

Using the derivative of the Boolean function and the e-derivative defined by ourselves as research tools, we study the Effects of e-derivative on algebraic immunity, correlation immunity and algebraic degree of H Boolean functions with the Hamming weight . We get some theorems which relevance together algebraic immunity, annihilators, correlation immunity and algebraic degree of H Boolean functions by the e-derivative. Besides, we also get the results that algebraic immunity, correlation immunity and algebraic degree of Boolean functions can be linked together by the e-derivative of H Boolean functions.

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Periodical:

Applied Mechanics and Materials (Volumes 411-414)

Pages:

45-48

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.411-414.45

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Online since:

September 2013

Authors:

Jing Lian Huang*, Zhuo Wang, Jing Zhang

Keywords:

Algebraic Degree, Algebraic Immunity, Correlation Immunity, E-Derivative, H Boolean Function

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* - Corresponding Author

References

[1] J. Huang, Z. Wang. The relationship between correlation immune and weight of H Boolean functions,. Journal on Communications, Vol. 33(2): 110-118(2012). (In Chinese).

Google Scholar

[2] Q. Wen, X. Niu , Y. Yang. The Boolean Functions in modern cryptology. Beijing: Science Press(2000).

Google Scholar

[3] G. Xiao, J. Massey. A Spectral Characterization of Correlation-Immune Combining Functions,. IEEE Trans. on Inform. Theory. Vol. 34(3): 569-571(1988).

DOI: 10.1109/18.6037

Google Scholar

[4] S. Li, B. Zeng, Y. Lian, et al. Logical functions in cryptography. Beijing: China National Computer Software and Technology Service Corporation Press(2003).

Google Scholar

[5] Q. Wen, J. Zhang, X. Niu, Y. Yang. "Review of Boolean Functions of Modern Cryptography. Telecommunication Science, Vol. 20(12): 43-46(2004).

Google Scholar

[6] W. Li, Z. Wang, J. Huang. The e-derivative of boolean functions and its application in the fault detection and cryptographic system,. Kybernetes, Vol. 40(5-6): 905-911(2011).

DOI: 10.1108/03684921111142458

Google Scholar

[7] L. He, Z. Wang, W. Li. Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlation issue. Journal on Communications, Vol. 31(2): 93-99(2011).

Google Scholar

[8] Y. Ding, Z. Wang, J. Ye. Initial-value problem of the Boolean function's primary function and its application in cryptographic system,. Kybernetes, Vol. 39(6): 900-906(2010).

DOI: 10.1108/03684921011046663

Google Scholar