New Balanced Boolean Functions with Good Cryptographic Properties

Qichun WANG; Xiangyang XUE; Haibin KAN

doi:10.1587/transfun.E92.A.2633

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

New Balanced Boolean Functions with Good Cryptographic Properties

Qichun WANG, Xiangyang XUE, Haibin KAN

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Keywords: Boolean functions, algebraic immunity, nonlinearity

JOURNAL RESTRICTED ACCESS

2009 Volume E92.A Issue 10 Pages 2633-2637

DOI https://doi.org/10.1587/transfun.E92.A.2633

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Abstract

It is known that Boolean functions used in stream ciphers should have good cryptographic properties to resist fast algebraic attacks. In this paper, we study a new class of Boolean functions with good cryptographic properties: balancedness, optimum algebraic degree, optimum algebraic immunity and a high nonlinearity.

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