On exceptional almost perfect non-linear functions

Warning The system is temporarily closed to updates for reporting purpose.

Yurdakul, Nihal (2021) On exceptional almost perfect non-linear functions. [Thesis]

[thumbnail of 10334892.pdf] PDF

Download (406kB)


In this master thesis, we study exceptional APN functions. We first give a detailed survey on exceptional APN monomials using the methods from algebraic geometry, especially algebraic curves over finite fields. We also collect recent results on exceptional APN polynomials, and we introduce a result for polynomials of Gold and Kasami-Welch types.
Item Type: Thesis
Uncontrolled Keywords: Absolutely irreduciblity, APN functions, EA and CCZ equivalences, exceptional APN functions, finite fields. -- APN fonksiyonlar. -- CCZ ve EA denklikleri. -- istisnai APN fonksiyonlar. -- mutlak indirgenemezlik. -- sonlu cisimler.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 05 Nov 2021 15:40
Last Modified: 26 Apr 2022 10:39
URI: https://research.sabanciuniv.edu/id/eprint/42531

Actions (login required)

View Item
View Item