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Generalized Construction of Boolean Function with Maximum Algebraic Immunity Using Univariate Polynomial Representation Shaojing FU Chao LI Longjiang QU Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E96-A No.1 pp.360-362 Publication Date: 2013/01/01 Online ISSN: 1745-1337 DOI: 10.1587/transfun.E96.A.360 Print ISSN: 0916-8508 Type of Manuscript: LETTER Category: Cryptography and Information Security Keyword: cryptography, Boolean function, algebraic immunity, Full Text: PDF(82.9KB)>>
Summary: Because of the algebraic attacks, a high algebraic immunity is now an important criteria for Boolean functions used in stream ciphers. In 2011, X.Y. Zeng et al. proposed three constructions of balanced Boolean functions with maximum algebraic immunity, the constructions are based on univariate polynomial representation of Boolean functions. In this paper, we will improve X.Y. Zeng et al.' constructions to obtain more even-variable Boolean functions with maximum algebraic immunity. It is checked that, our new functions can have as high nonlinearity as X.Y. Zeng et al.' functions. | ||||||||||
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