Differential uniformity and second order derivatives for generic polynomials

DOI10.1016/j.jpaa.2017.06.009zbMath1388.14077arXiv1703.07299OpenAlexW2606576581MaRDI QIDQ1689589

Yves Aubry, Fabien Herbaut

Publication date: 12 January 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07299

zbMATH Keywords

generic polynomialsdensity theoremdifferential cryptanalysisdifferential uniformitysecond order derivativeinversion mappingsecond order differential uniformity

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

Polynomials with maximal differential uniformity and the exceptional APN conjecture ⋮ Algebraic approach to the completeness problem for \((k,n)\)-arcs in planes over finite fields

Cites Work

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• Algebraic Function Fields and Codes
• Symmetric Cryptography and Algebraic Curves
• Estimating the Size of the Image of Deterministic Hash Functions to Elliptic Curves
• Higher Order Derivatives and Differential Cryptanalysis

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