A New Keyed Hash Function Based on Compounded Chaotic Maps

In this paper, we firstly construct a new chaotic map by compounding a couple of chaotic maps and, using specific mathematical tools (i.e., Lyapunov exponent), we prove its sensitivity to the initial conditions and the underlying chaotic behavior. Secondly, using this chaotic map, we propose a new c...

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Main Authors: Ana-Cristina Dascalescu, Radu-Eugen Boriga, Iustin Priescu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10971943/
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author Ana-Cristina Dascalescu
Radu-Eugen Boriga
Iustin Priescu
author_facet Ana-Cristina Dascalescu
Radu-Eugen Boriga
Iustin Priescu
author_sort Ana-Cristina Dascalescu
collection DOAJ
description In this paper, we firstly construct a new chaotic map by compounding a couple of chaotic maps and, using specific mathematical tools (i.e., Lyapunov exponent), we prove its sensitivity to the initial conditions and the underlying chaotic behavior. Secondly, using this chaotic map, we propose a new chaotic keyed hash function which involves each byte of the message in calculation of the chaotic map initial point and the compounded maps control parameters. Corroborating this method with the proven sensitivity of the used chaotic map, we obtain an avalanche effect in the hashing process and the guarantee that all the bits of the message will be related to the hash value. Moreover, the exhaustive numerical simulations show that the proposed hash function has very good confusion and diffusion capabilities, strong collision resistance, high level of security and good speed, being suitable for applications regarding data integrity or authentication, such as ciphers or blockchain applications.
format Article
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institution OA Journals
issn 2169-3536
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj-art-2d468def2e6448c5b7580ea78aaa18c02025-08-20T02:14:54ZengIEEEIEEE Access2169-35362025-01-0113753637537610.1109/ACCESS.2025.356310810971943A New Keyed Hash Function Based on Compounded Chaotic MapsAna-Cristina Dascalescu0https://orcid.org/0000-0001-6554-2124Radu-Eugen Boriga1https://orcid.org/0000-0003-3918-7610Iustin Priescu2https://orcid.org/0000-0002-8824-1444Faculty of Informatics, Titu Maiorescu University, Bucharest, RomaniaFaculty of Informatics, Titu Maiorescu University, Bucharest, RomaniaFaculty of Informatics, Titu Maiorescu University, Bucharest, RomaniaIn this paper, we firstly construct a new chaotic map by compounding a couple of chaotic maps and, using specific mathematical tools (i.e., Lyapunov exponent), we prove its sensitivity to the initial conditions and the underlying chaotic behavior. Secondly, using this chaotic map, we propose a new chaotic keyed hash function which involves each byte of the message in calculation of the chaotic map initial point and the compounded maps control parameters. Corroborating this method with the proven sensitivity of the used chaotic map, we obtain an avalanche effect in the hashing process and the guarantee that all the bits of the message will be related to the hash value. Moreover, the exhaustive numerical simulations show that the proposed hash function has very good confusion and diffusion capabilities, strong collision resistance, high level of security and good speed, being suitable for applications regarding data integrity or authentication, such as ciphers or blockchain applications.https://ieeexplore.ieee.org/document/10971943/Keyed hash functionchaotic mapdata integritysecuritycryptography
spellingShingle Ana-Cristina Dascalescu
Radu-Eugen Boriga
Iustin Priescu
A New Keyed Hash Function Based on Compounded Chaotic Maps
IEEE Access
Keyed hash function
chaotic map
data integrity
security
cryptography
title A New Keyed Hash Function Based on Compounded Chaotic Maps
title_full A New Keyed Hash Function Based on Compounded Chaotic Maps
title_fullStr A New Keyed Hash Function Based on Compounded Chaotic Maps
title_full_unstemmed A New Keyed Hash Function Based on Compounded Chaotic Maps
title_short A New Keyed Hash Function Based on Compounded Chaotic Maps
title_sort new keyed hash function based on compounded chaotic maps
topic Keyed hash function
chaotic map
data integrity
security
cryptography
url https://ieeexplore.ieee.org/document/10971943/
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