Work

Secondary Constructions of Bent Functions and Highly Nonlinear Resilient Functions

Year: 2012

Type: preprint

Abstract: In this paper, we first present a new secondary construction of bent functions (building new bent functions from two already defined ones). Furthermore, we apply the construction using as initial functions some specific bent functions and then provide several concrete constructions of bent functions. The second part of the paper is devoted to the constructions of resilient functions. We give a generalization of the indirect sum construction for constructing resilient functions with high nonlinearity. In addition, we modify the generalized construction to ensure a high nonlinearity of the constructed function.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1211.4191

Authors: Zhang, Fengrong, Carlet, Claude, Hu, Yupu, Zhang, Wenzheng

Institutions: China University of Mining and Technology, Institut national de recherche en sciences et technologies du numérique, Xidian University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2168491355

Cites: 42

Cited by:

Related to: 10