Algebraic construction of near-bent function with application to cryptography

Vadiraja G.R. Bhatta; Harikrishnan Panackal; Prasanna Poojary; Shashi Kant Pandey

doi:10.1080/09720529.2021.1897214

Algebraic construction of near-bent function with application to cryptography

Vadiraja G.R. Bhatta
, Harikrishnan Panackal
, Prasanna Poojary^*
, Shashi Kant Pandey

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Near-bent functions that occur in odd dimensions are the important class of Boolean functions, which are useful functions for cryptography. In this paper, we construct near-bent function with trace term using well known Welch function exponent in polynomial form and various other forms of near-bent functions. We have also investigated some important cryptographical properties of near-bent functions.

Original language	English
Pages (from-to)	527-540
Number of pages	14
Journal	Journal of Discrete Mathematical Sciences and Cryptography
Volume	24
Issue number	2
DOIs	https://doi.org/10.1080/09720529.2021.1897214
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/09720529.2021.1897214

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title = "Algebraic construction of near-bent function with application to cryptography",

abstract = "Near-bent functions that occur in odd dimensions are the important class of Boolean functions, which are useful functions for cryptography. In this paper, we construct near-bent function with trace term using well known Welch function exponent in polynomial form and various other forms of near-bent functions. We have also investigated some important cryptographical properties of near-bent functions.",

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AU - Bhatta, Vadiraja G.R.

AU - Panackal, Harikrishnan

AU - Poojary, Prasanna

AU - Pandey, Shashi Kant

PY - 2021

Y1 - 2021

N2 - Near-bent functions that occur in odd dimensions are the important class of Boolean functions, which are useful functions for cryptography. In this paper, we construct near-bent function with trace term using well known Welch function exponent in polynomial form and various other forms of near-bent functions. We have also investigated some important cryptographical properties of near-bent functions.

AB - Near-bent functions that occur in odd dimensions are the important class of Boolean functions, which are useful functions for cryptography. In this paper, we construct near-bent function with trace term using well known Welch function exponent in polynomial form and various other forms of near-bent functions. We have also investigated some important cryptographical properties of near-bent functions.

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DO - 10.1080/09720529.2021.1897214

M3 - Article

AN - SCOPUS:85104229732

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ER -

Algebraic construction of near-bent function with application to cryptography

Abstract

All Science Journal Classification (ASJC) codes

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