Abstract
In this paper, we discuss the effect of the cryptographic properties of translation transformation rotation symmetric Boolean functions. On construction of rotation symmetric Boolean functions with the optimal algebraic immunity, we construct correlation immunity Boolean functions with the optimal algebraic immunity by translation transformation and concatenation transformation.
Highlights
The algebraic immunity, optimal algebraic immunity, nonlinearity, diffusion and correlation immunity are all important security properties of cryptographic functions and research contents of cipher security
The algebraic immunity and optimal algebraic immunity of algebraic attacks are the hot spots in the current research
The cipher security is the core of the cryptosystem, and only a cryptosystem with good security has an existing significance
Summary
The algebraic immunity, optimal algebraic immunity, nonlinearity, diffusion and correlation immunity are all important security properties of cryptographic functions and research contents of cipher security. Boolean functions with a variety of secure cipher properties are the key factors to design the cryptosystem with the ability to resist multiple cipher attacks and good safety performance. It is of great importance for a security cryptosystem to study some properties of Boolean functions, which make the cryptosystem resist various attacks, such as high algebraic degree, high nonlinearity, the strict avalanche criterion and propagation, higher-order correlation immunity and higher-order algebraic immunity. We discuss the existence and structure of rotational symmetric Bent function using derivative, translation and cascade, and the problem of the optimal algebraic immune function of the immune system, which is based on the Bent function of the rotational symmetry. It is more convenient to judge the diffusion by the derivative calculation than by the diffusion
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
