Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Some characterizations of generalized s-plateaued functions
Download
index.pdf
Date
2017
Author
Çelik, Emircan
Metadata
Show full item record
Item Usage Stats
243
views
83
downloads
Cite This
Plateaued functions play important role in cryptography because of their various desirable cryptographic features. Due to this characteristics they have been widely studied in the literature. This studies include p-ary functions and some generalizations of the boolean functions. In this thesis, we present some of this important work and show that plateaued functions can be generalized much more general framework naturally. Characterizations of generalized plateaued functions using Walsh power moments are also given.
Subject Keywords
Cryptography.
,
Walsh functions.
,
Boolean functions.
,
Plateaued functions.
,
Data encryption (Computer science).
URI
http://etd.lib.metu.edu.tr/upload/12621531/index.pdf
https://hdl.handle.net/11511/26780
Collections
Graduate School of Applied Mathematics, Thesis
Suggestions
OpenMETU
Core
Results on characterizations of plateaued functions in arbitrary characteristic
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet (2016-01-01)
Bent and plateaued functions play a significant role in cryptography since they can have various desirable cryptographic properties. In this work, we first provide the characterizations of plateaued functions in terms of the moments of their Walsh transforms. Next, we generalize the characterizations of Boolean bent and plateaued functions in terms of their second-order derivatives to arbitrary characteristic. Moreover, we present a new characterization of plateaued functions in terms of fourth power moment...
Modular exponentiation methods in cryptography
Yünüak, Hasan Bartu; Cenk, Murat; Department of Cryptography (2017)
Modular exponentiation has an important role in many cryptographic algorithms. These exponentiation methods differ in the bases used and their representations, the repeating aspect, and for which algorithms they are used for: fixed or variable base. Our research aims to compare the efficiencies and implementation timings for some selected algorithms. Also, we look at the options for using a dedicated cubing algorithm, and compare them with the current algorithms.
On the efficient implementation of RSA
Güner, Hatice Kübra; Cenk, Murat; Department of Cryptography (2015)
Modular exponentiation is an essential operation for many asymmetric key cryptosystems such as RSA in which encryption and decryption are based on modular exponentiation. Therefore, efficiency of the system is effected with running time of the modular exponentiation algorithm. At the same time, key sizes also influence the efficiency of the algorithm. Over the years key sizes had to be increased to provide security. To make RSA practical, one of usable choices is acceleration of the modular exponentiation a...
On nonlinearity and hamming weight preserving bijective mappings acting on boolean functions
Sertkaya, İsa; Doğanaksoy, Ali; Department of Cryptography (2014)
Boolean functions are widely studied in cryptography due to their key role and ap- plications in various cryptographic schemes. Particularly in order to make symmetric crypto-systems resistant against cryptanalytic attacks, Boolean functions are associ- ated some cryptographic design criteria. As a result of Shannon’s similarity of secrecy systems theory, cryptographic design criteria should be at least preserved under the action of basic transformations. Among these design criteria, Meier and Staffelbach a...
On constructions and enumeration of bent and semi-bent functions
Koçak, Neşe; Doğanaksoy, Ali; Saygı, Zülfükar; Department of Cryptography (2015)
Bent and semi-bent functions play an important role in cryptography and coding theory. They are widely studied as parts of building blocks in symmetric key cryptosystems because they provide resistance to fast correlation attacks and linear cryptanalysis due to their high nonlinearity. Besides, they can possess other desirable cryptographic properties such as low autocorrelation, propagation criteria, resiliency and high algebraic degree. Therefore, parallel to the advances in cryptanalysis techniques, the ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
E. Çelik, “Some characterizations of generalized s-plateaued functions,” M.S. - Master of Science, Middle East Technical University, 2017.