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

PDF 12717.pdf - Published Version Restricted to Registered users only Download (453kB) | Request a copy

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.

Actions (login required)

View Item