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
Linear complexity over F-q and over F-qm for linear recurring sequences
Date
2009-02-01
Author
MEİDL, WİLFRİED
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
81
views
0
downloads
Cite This
Since the F-q-linear spaces F-q(m) and F-qm are isomorphic, an m-fold multisequence S over the finite field F-q with a given characteristic polynomial f is an element of F-q[x], can be identified with a single sequence S over F-qm with characteristic polynomial f. The linear complexity of S, which will be called the generalized joint linear complexity of S, can be significantly smaller than the conventional joint linear complexity of S. We determine the expected value and the variance of the generalized joint linear complexity of a random m-fold multisequence S with given minimal polynomial. The result on the expected value generalizes a previous result oil periodic m-fold multisequences. Moreover we determine the expected drop of linear complexity of a random m-fold multisequence with given characteristic polynomial f, when one switches from conventional joint linear complexity to generalized joint linear complexity.
Subject Keywords
Joint linear complexity
,
Generalized joint linear complexity
,
Multisequences
,
Linear recurring sequences
URI
https://hdl.handle.net/11511/33342
Journal
FINITE FIELDS AND THEIR APPLICATIONS
DOI
https://doi.org/10.1016/j.ffa.2008.09.004
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Compact-like operators in lattice-normed spaces
Aydın, Abdullah; Emel’yanov, Eduard; Department of Mathematics (2017)
Let $(X,p,E)$ and $(Y,m,F)$ be two lattice-normed spaces. A linear operator $T:Xto Y$ is said to be $p$-compact if, for any $p$-bounded net $x_alpha$ in X, the net $Tx_alpha$ has a $p$-convergent subnet in Y. That is, if $x_alpha$ is a net in X such that there is a $ein E_+$ satisfying $p(x_alpha) ≤ e$ for all $alpha$, then there exists a subnet $x_{alpha_beta}$ and $y_in Y$ such that $m(Tx_{alpha_beta} −y) xrightarrow{o}0$ in $F$. A linear operator $T:Xto Y$ is called $p$-continuous if $p(x_alpha) xrightar...
Drinfeld modular curves with many rational points over finite fields
Cam, Vural; Özbudak, Ferruh; Department of Mathematics (2011)
In our study Fq denotes the finite field with q elements. It is interesting to construct curves of given genus over Fq with many Fq -rational points. Drinfeld modular curves can be used to construct that kind of curves over Fq . In this study we will use reductions of the Drinfeld modular curves X_{0} (n) to obtain curves over finite fields with many rational points. The main idea is to divide the Drinfeld modular curves by an Atkin-Lehner involution which has many fixed points to obtain a quotient with a b...
Quadratic forms of codimension 2 over finite fields containing F-4 and Artin-Schreier type curves
Özbudak, Ferruh; Saygi, Zulfukar (2012-03-01)
Let F-q be a finite field containing F-4. Let k >= 2 be an integer. We give a full classification of quadratic forms over F-q(k) of codimension 2 provided that certain three coefficients are from F-4. As an application of this we obtain new results on the classification of maximal and minimal curves over F-q(k) . We also give some nonexistence results on certain systems of equations over F-q(k).
Ground-state properties of quasi-one-dimensional electron systems within dynamic local-field correction: Quantum Singwi-Tosi-Land-Sjolander theory
Tanatar, B; Bulutay, C (1999-06-15)
Dynamic local-field correction (LFC) brings a richer picture about the description of a many-body system than the standard mean-held theories. Here we investigate the ground-state properties of a quasi-one-dimensional electronic system using the quantum version of the Singwi-Tosi-Land-Sjolander (STLS) theory and present a critical account of its performance. The results are markedly different than those theories based on static LFC and the random-phase approximation; an example is the static structure facto...
Quadratic forms of codimension 2 over certain finite fields of even characteristic
Özbudak, Ferruh; Saygi, Zulfukar (2011-12-01)
Let F-q be a finite field of characteristic 2, not containing F-4. Let k >= 2 be an even integer. We give a full classification of quadratic forms over F-q(k) of codimension 2 provided that certain three coefficients are from F-4. We apply this to the classification of maximal and minimal curves over finite fields.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
W. MEİDL and F. Özbudak, “Linear complexity over F-q and over F-qm for linear recurring sequences,”
FINITE FIELDS AND THEIR APPLICATIONS
, pp. 110–124, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33342.