Algebraic construction of semi bent function via known power function

Poojary, Prasanna and Harikrishnan, P K and Bhatta, Vadiraja G R (2021) Algebraic construction of semi bent function via known power function. Mathematical Society Journal of App, 11 (2). pp. 359-367. ISSN 2146-1147

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Abstract

The study of semi bent functions (2- plateaued Boolean function) has at-tracted the attention of many researchers due to their cryptographic and combinatorial properties. In this paper, we have given the algebraic construction of semi bent functions de�ned over the nite eld F2n (n even) using the notion of trace function and Gold power exponent. Algebraically constructed semi bent functions have some special cryptographical properties such as high nonlinearity, algebraic immunity, and low correlation immunity as expected to use them e�ectively in cryptosystems. We have illustrated the existence of these properties with suitable examples.

Item Type: Article
Uncontrolled Keywords: Boolean function, trace, cryptography, nonlinearity, algebraic immunity. AMS Subject Classi�cation: 06E30, 94C10, 11T71.1. Introduction
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 27 Sep 2021 04:46
Last Modified: 27 Sep 2021 04:46
URI: http://eprints.manipal.edu/id/eprint/157425

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