An upper bound for the linearity of exponential Welch-Costas functions

DOI10.1016/J.FFA.2012.05.001zbMath1255.94057OpenAlexW2026681452MaRDI QIDQ439098

Risto M. Hakala

Publication date: 1 August 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.05.001

zbMATH Keywords

exponential functionFourier analysisnonlinearitylinearityexponential Welch-Costas functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Exponential sums (11T23)

Related Items (2)

Construction of highly nonlinear permutations on \(\mathbb{Z}_{2p}\) with differential uniformity at most 8 ⋮ Perfect nonlinear functions and cryptography

Uses Software

• SAFER

Cites Work

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• APN permutations on \(\mathbb Z_n\) and Costas arrays
• Generalized bent functions and their properties
• On ``bent functions
• Highly nonlinear mappings
• Linear Approximations of Addition Modulo 2n-1
• SAFER K-64: One year later
• SAFER K-64: A byte-oriented block-ciphering algorithm
• On the Nonlinearity of Exponential Welch Costas Functions
• Linear Cryptanalysis of Non Binary Ciphers
• On the exponential sum

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