Konstrukcija nekaterih diskretnih matematičnih objektov v spektralni domeni / Designing certain discrete mathematical objects in spectral domain
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Naziv Tittle |
Konstrukcija nekaterih diskretnih matematičnih objektov v spektralni domeni / Designing certain discrete mathematical objects in spectral domain |
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Akronim Acronim |
N1-0159 |
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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. |
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Vrsta projekta Project Type |
Temeljni projekt |
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Trajanje Duration |
01/08/2020 - 31/07/2023 |
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URL URL |
https://p1-0404.iam.upr.si/sl/projekti/n1-0159 |
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Vodja projekta Project Leader |
Enes Pasalic |
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Sodelujoče organizacije Participating organizations |
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Oddelek Department |
Oddelek za matematiko IAM |