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

Autor: Julian Osorio, Carlos Trujillo, Diego Ruiz
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 17590-17605 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024855?viewType=HTML
Popis: 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.
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