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
Correlation distribution of a sequence family generalizing some sequences of trachtenberg
Date
2021-08-01
Author
Özbudak, Ferruh
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
276
views
0
downloads
Cite This
In this paper, we give a classification of a sequence family, over arbitrary characteristic, adding linear trace terms to the function g(x) = Tr(x(d)), where d = p(2k) - p(k) + 1, first introduced by Trachtenberg. The family has p(n) + 1 cyclically distinct sequences with period p(n) - 1. We compute the exact correlation distribution of the function g(x) with linear m-sequences and amongst themselves. The cross-correlation values are obtained as C-i,C-j(tau) is an element of {-1, -1 +/- p(n+e/2), -1 + p(n)}.
Subject Keywords
Sequences
,
Cross-correlation
,
Plateaued functions
URI
https://hdl.handle.net/11511/92015
Journal
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
DOI
https://doi.org/10.3934/amc.2020087
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Correlation Distribution of a New Sequence Family
BOZTAŞ, Serdar; Özbudak, Ferruh; TEKİN, Eda (2015-06-19)
In this paper a new binary sequence family with 2(n) + 1 cyclically distinct sequences each having length 2(n) - 1 is presented for an even integer n. The correlation distribution of the family is fully determined. The family has six-valued correlation distribution and its maximum correlation magnitude equals 1 + 2(n/2 + 1).
On plateaued functions, linear structures and permutation polynomials
Mesnager, Sihem; Kaytancı, Kübra; Özbudak, Ferruh (2019-01-01)
We obtain concrete upper bounds on the algebraic immunity of a class of highly nonlinear plateaued functions without linear structures than the one was given recently in 2017, Cusick. Moreover, we extend Cusick’s class to a much bigger explicit class and we show that our class has better algebraic immunity by an explicit example. We also give a new notion of linear translator, which includes the Frobenius linear translator given in 2018, Cepak, Pasalic and Muratović-Ribić as a special case. We find some app...
Characterisation and enumeration of a class of semi bent quadratic Boolean functions
KOÇAK, Neşe; Koçak, Onur Ozan; Özbudak, Ferruh; SAYGI, ZÜLFÜKAR (2015-01-01)
In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before and we proved that semi-bent functions of this form exist only for 6|n. Furthermore, we present a method for enumeration of semi-bent and bent functions in certain classes. Using this method we find the exact number of semi-bent functions of this form. Moreover, we complete some previous ...
Electromagnetic form factors of electrodisintegration of light nuclei near threshold
Yalcin, C; Rekalo, MP; Koru, H (1998-06-01)
The general structure of electromagnetic currents for electrodisintegration of nuclei near threshold, e(-) + A --> e(-) + A(1) + A(2) (A, A(1) and A(2) are arbitrary nuclei or hadrons with spins 0, 1/2 and 1), are established. Considering nuclei as elementary particles with the definite values of spin and space parity and using the conservation of hadronic electromagnetic current and P-invariance of hadron electromagnetic interaction, the spin structure of the amplitudes of the processes gamma* + A --> A(1)...
Factorization of Joint Probability Mass Functions into Parity Check Interactions
Bayramoglu, Muhammet Fatih; Yılmaz, Ali Özgür (2009-07-03)
We show that any joint probability mass function (PMF) can be expressed as a product of parity check factors an d factors of degree one with the help of some auxiliary variables, if the alphabet size is appropriate for defining a parity chec k equation. In other words, marginalization of a joint PMF is equivalent to a soft decoding task as long as a finite field can be constructed over the alphabet of the PMF. In factor graph terminology this claim means that a factor graph representing such a joint PMF alw...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
F. Özbudak, “Correlation distribution of a sequence family generalizing some sequences of trachtenberg,”
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
, vol. 15, no. 4, pp. 647–662, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92015.