@article{Osorio2024, 
author = {Julian Osorio and Carlos Trujillo and Diego Ruiz},
title = {Construction of a cryptographic function based on Bose-type Sidon sets},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17590-17605},
keywords = {cryptography, linearity, differential uniformity, Sidon sets, APN functions},
url = {https://www.sciopen.com/article/10.3934/math.2024855},
doi = {10.3934/math.2024855},
abstract = {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.}
}