Construction of a cryptographic function based on Bose-type Sidon sets

Sidon sets have several applications in mathematics and in real-world problems, including the generation of secret keys in cryptography, error-correcting codes, and the physical problem of compression of signals in telecommunications. In particular, in cryptography, the design of cryptographic funct...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 7; pp. 17590 - 17605
Main Authors Osorio, Julian, Trujillo, Carlos, Ruiz, Diego
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
apn functions
cryptography
differential uniformity
linearity
sidon sets
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Summary:Sidon sets have several applications in mathematics and in real-world problems, including the generation of secret keys in cryptography, error-correcting codes, and the physical problem of compression of signals in telecommunications. In particular, in cryptography, the design of cryptographic functions with optimal properties like nonlinearity and differential uniformity plays a fundamental role in the development of secure cryptographic systems. Based on the construction of Bose-type Sidon sets, in this paper we present the construction of a new cryptographic function with good properties of nonlinearity and differential uniformity.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024855