On the relationships between perfect nonlinear functions and universal hash families

DOI10.1016/J.TCS.2013.10.017zbMath1408.94945OpenAlexW2074537284MaRDI QIDQ391979

Jian Liu, Lusheng Chen

Publication date: 13 January 2014

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2013.10.017

zbMATH Keywords

PN functionmessage authentication codemulti-output bent functionuniversal hash family

Mathematics Subject Classification ID

Cryptography (94A60)

Cites Work

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• On the construction of bent vectorial functions
• Differential cryptanalysis of DES-like cryptosystems
• Authentication schemes from highly nonlinear functions
• A family of skew Hadamard difference sets
• Universal classes of hash functions
• Cartesian authentication codes from functions with optimal nonlinearity.
• Three constructions of authentication/secrecy codes
• Highly nonlinear mappings
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes
• Systematic Authentication Codes From Highly Nonlinear Functions
• Perfect nonlinear S-boxes

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