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On Planar Functions

The notion of &rdquo / Planar functions&rdquo / goes back to Dembowski and Ostrom, who introduced it
in 1968 first time to describe projective planes with special properties in finite geometry.
Recently, they attracted an interest from cryptography because of having an optimal resistance
to differential cryptanalysis.This thesis is based on the paper &rdquo / New semifields, PN and APN
functions&rdquo / by J&uuml / rgen Bierbrauer. The whole purpose of this thesis is to understand and present
a detailed description of the results of the paper of Bierbrauer about planar functions. Here
and throughout this thesis &rdquo / new&rdquo / means &rdquo / new&rdquo / in the paper of Bierbrauer. In particular we
have no new constructions here and we only explain the results of Bierbrauer.

Identiferoai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12613644/index.pdf
Date01 September 2011
CreatorsHamidli, Fuad
ContributorsOzbudak, Ferruh
PublisherMETU
Source SetsMiddle East Technical Univ.
LanguageEnglish
Detected LanguageEnglish
TypeM.S. Thesis
Formattext/pdf
RightsTo liberate the content for public access

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