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Konstrukcija nekaterih diskretnih matematičnih objektov v spektralni domeni / Designing certain discrete mathematical objects in spectral domain

Naziv

Tittle

Konstrukcija nekaterih diskretnih matematičnih objektov v spektralni domeni / Designing certain discrete mathematical objects in spectral domain

Akronim

Acronim

N1-0159

Opis

Description

(SI) Glavni cilj tega projekta je raziskati obstoj, obliko in klasifikacijo nekaterih diskretnih kombinatoričnih objektov, ki ustrezajo posebnemu razredu polinomov nad končnimi polji, ki igrajo pomembno vlogo v kriptografiji. Naš glavni interes je namreč analiza tako imenovanih funkcij APN (skoraj popolno nelinearne) in AB (skoraj upognjene). Naš glavni namen je zagotoviti učinkovito klasifikacijo in zasnovo teh dveh razredov funkcij, saj so znani razredi teh funkcij zaenkrat dobljeni na negeneričen in nesistematičen način.
(EN) The main goal of this project is to investigate the existence, design and classification of certain discrete combinatorial objects that correspond to a special class of polynomials over finite fields which play an important role in cryptography. Namely, our main interest is the analysis of the so-called APN (almost perfect nonlinear) and AB (almost bent) functions. Our main intention is to provide an efficient classification and design of these two classes of functions since the known classes of these functions are obtained in non-generic and non-systematic manner. We strongly believe that spectral framework provides a proper basis for studying this topic in a different manner, eventually allowing us to offer either partial or complete solutions to the above mentioned problems.

Vrsta projekta

Project Type

Temeljni projekt

Trajanje

Duration

01/08/2020 - 31/07/2023

URL

URL

https://p1-0404.iam.upr.si/sl/projekti/n1-0159

Vodja projekta

Project Leader

Enes Pasalic

Sodelujoče organizacije

Participating organizations

/

Oddelek

Department

Oddelek za matematiko IAM
University of Primorska

Andrej Marušič Institute
UP IAM

Muzejski trg 2
6000 Koper
Slovenia

tel.: +386 (0)5 611 75 91
fax.: +386 (0)5 611 75 92
e-mail: info@iam.upr.si
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