Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ipl.2013.04.017
Title: A new method to construct Boolean functions with good cryptographic properties
Authors: Wang, Q.
Tan, C.H. 
Keywords: Algebraic immunity
Bent function
Cryptography
Nonlinearity
Issue Date: 2013
Citation: Wang, Q., Tan, C.H. (2013). A new method to construct Boolean functions with good cryptographic properties. Information Processing Letters 113 (14-16) : 567-571. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ipl.2013.04.017
Abstract: To resist fast correlation attacks, Boolean functions used in stream ciphers should have high nonlinearity. n-variable bent functions have the maximum nonlinearity. However, they are not balanced and their algebraic degrees are at most n2. Therefore, they cannot be used directly as filter functions. In this paper, we give a new method to construct cryptographically significant Boolean functions. As an example, based on bent functions, we construct an infinite class of functions with good cryptographic properties: balancedness, optimum algebraic degree, almost optimum algebraic immunity and an almost optimum nonlinearity (higher than all other infinite classes of balanced functions with high algebraic immunity). © 2013 Elsevier B.V.
Source Title: Information Processing Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/111315
ISSN: 00200190
DOI: 10.1016/j.ipl.2013.04.017
Appears in Collections:Staff Publications

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