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Spectral Domain Analysis of Correlation Immune and Resilient Boolean Functions

โœ Scribed by Claude Carlet; Palash Sarkar

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
323 KB
Volume
8
Category
Article
ISSN
1071-5797

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โœฆ Synopsis

We use a general property of Fourier transform to obtain direct proofs of recent divisibility results on the Walsh transform of correlation immune and resilient functions. Improved upper bounds on the nonlinearity of these functions are obtained from the divisibility results. We deduce further information on correlation immune and resilient functions. In particular, we obtain a necessary condition on the algebraic normal form of correlation immune functions attaining the maximum possible nonlinearity.

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