Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
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
Classification of a Sequence Family Using Plateaued Functions
Date
2017-06-30
Author
BOZTAŞ, Serdar
Özbudak, Ferruh
Tekin, Eda
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
91
views
0
downloads
Cite This
The design of CDMA sequence families using quadratic functions dates hack to Gold sequences from the 1960s. Since then there have been a number of different such designs with good correlation properties, some optimal and some near optimal, and the term "Gold-like" is usually used to denote such sequences. In this paper we use the concept of plateaued functions, not necessarily quadratic, in order to classify such sequence families and present some examples in this direction which depend on the characteristic p and degree n of the Galois field 4, used to define the sequences.
Subject Keywords
Correlation
,
Transforms
,
Gold
,
Information theory
,
Multiaccess communication
,
Cryptography
URI
https://hdl.handle.net/11511/33098
DOI
https://doi.org/10.1109/isit.2017.8006782
Collections
Department of Mathematics, Conference / Seminar
Suggestions
OpenMETU
Core
Explicit Full Correlation Distribution of Sequence Families Using Plateaued Functions
BOZTAŞ, Serdar; Özbudak, Ferruh; TEKİN, Eda (2018-04-01)
The design of code division multiple access sequence families dates back to the Gold sequences from the 1960s. Since then there has been a number of different such designs with good correlation properties, some optimal and some near-optimal. In this paper, we use the concept of plateaued functions with arbitrary degree, in order to compute their full correlation distributions. First, we give an explicit correlation distribution of a sequence family using a non-quadratic function. Then for the quadratic func...
Classification of remotely sensed data by using 2D local discriminant bases
Tekinay, Çağrı; Çetin, Yasemin; Department of Information Systems (2009)
In this thesis, 2D Local Discriminant Bases (LDB) algorithm is used to 2D search structure to classify remotely sensed data. 2D Linear Discriminant Analysis (LDA) method is converted into an M-ary classifier by combining majority voting principle and linear distance parameters. The feature extraction algorithm extracts the relevant features by removing the irrelevant ones and/or combining the ones which do not represent supplemental information on their own. The algorithm is implemented on a remotely sensed...
Constructing linear unequal error protection codes from algebraic curves
Özbudak, Ferruh (Institute of Electrical and Electronics Engineers (IEEE), 2003-06-01)
We show that the concept of "generalized algebraic geometry codes" which was recently introduced by Xing, Niederreiter, and Lam gives a natural framework for constructing linear unequal error protection codes.
Results on symmetric S-boxes constructed by concatenation of RSSBs
KAVUT, SELÇUK; Baloglu, Sevdenur (Springer Science and Business Media LLC, 2019-07-01)
In this paper, we first present an efficient exhaustive search algorithm to enumerate 6 x 6 bijective S-boxes with the best-known nonlinearity 24 in a class of S-boxes that are symmetric under the permutation (x) = (x(0), x(2), x(3), x(4), x(5), x(1)), where x = (x(0), x1,...,x5)?26. Since any S-box S:?26?26 in this class has the property that S((x)) = (S(x)) for every x, it can be considered as a construction obtained by the concatenation of 5 x 5 rotation-symmetric S-boxes (RSSBs). The size of the search ...
A survey on quaternary codes and their binary images
Özkaya, Derya; Yücel, Melek D; Department of Cryptography (2009)
Certain nonlinear binary codes having at least twice as many codewords as any known linear binary code can be regarded as the binary images of linear codes over Z4. This vision leads to a new concept in coding theory, called the Z4-linearity of binary codes. This thesis is a survey on the linear quaternary codes and their binary images under the Gray map. The conditions for the binary image of a linear quaternary code to be linear are thoroughly investigated and the Z4-linearity of the Reed-Muller and Hammi...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. BOZTAŞ, F. Özbudak, and E. Tekin, “Classification of a Sequence Family Using Plateaued Functions,” 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33098.