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New classes of generalized boolean bent functions over Z4

Nian Li, Xiaohu Tang, Tor Helleseth

Open publisher page 10 citations

Abstract

New quadratic bent functions in polynomial forms are constructed in this paper. The constructions give new boolean bent and generalized boolean bent functions. Based on Z4-valued quadratic forms, a simple method provides several new constructions of generalized boolean bent functions. From these generalized boolean bent functions a method is presented to transform them into binary bent and semi-bent functions.

About this research paper

What this paper is about

New quadratic bent functions in polynomial forms are constructed in this paper. The constructions give new boolean bent and generalized boolean bent functions. Based on Z4-valued quadratic forms, a simple method provides several new constructions of generalized boolean bent functions. From these generalized boolean bent functions a method is presented to transform them into binary bent and semi-bent functions.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

New quadratic bent functions in polynomial forms are constructed in this paper. The constructions give new boolean bent and generalized boolean bent functions. Based on Z4-valued quadratic forms, a simple method provides several new constructions of generalized boolean bent functions. From these generalized boolean bent functions a method is presented to transform them into binary bent and semi-bent functions.

Key concepts: Bent molecular geometry, Boolean function, Bent function, Quadratic equation, Discrete mathematics, Mathematics, Binary number, Combinatorics

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