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Designs, Codes and Cryptography

Erschienen in:

03.01.2019

On some quadratic APN functions

verfasst von: Hiroaki Taniguchi

Erschienen in: Designs, Codes and Cryptography | Ausgabe 9/2019

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Abstract

A construction of APN functions using the bent function \(B(x,y)=xy\) is proposed in Carlet (Des Codes Cryptogr 59:89–109, 2011). At this time, two families of APN functions using this construction are known, that is, the family of Carlet (2011) and the family of Zhou and Pott (Adv Math 234:43–60, 2013). In this note, we propose another family of APN functions with this construction, which are not CCZ equivalent to the former two families on \({{\mathbb {F}}}_{2^8}\). We also propose a family of presemifields and determined the middle, left, right nuclei and the center of the associated semifields.

Vorheriger Artikel Quantum encryption and generalized Shannon impossibility

Nächster Artikel On line covers of finite projective and polar spaces

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Titel: On some quadratic APN functions
verfasst von: Hiroaki Taniguchi
Publikationsdatum: 03.01.2019
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 9/2019
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-018-00598-2

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On some quadratic APN functions

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