Abstract
The Walsh transform is an important tool to investigate cryptographic properties of Boolean functions. This paper is devoted to study the Walsh transform of a class of Boolean functions defined as [see formula in PDF], by making use of the known conclusions of Walsh transform and the properties of trace function, and the conclusion is obtained by generalizing an existing result.
Highlights
F2, we identify F2n with F2n and every function f : F2n F2 is equivalent to a Boolean function
Let f be a Boolean function from F2n to F2, and the set of which is denoted by Bn
Let n be a positive integer and f be a Boolean function from F2n to F2
Summary
1. School of Mathematical Sciences, Huaibei Normal University, Boolean functions are important objects in discrete. They play a role in symmetric cryptogra-. 2. School of Cyber Science, University of Science and phy and error-correcting coding theory, and they . Technology of China, Hefei 230027, Anhui, China; have a significant influence on the design and analysis of. 3. School of Computer Engineering, Bengbu University, Bengbu 233030, Anhui, China cryptographic algorithms. The Walsh transform is a vital tool to investigate cryptographic properties of Boolean
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