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  1. Journal of Systems Science and Complexity
  2. Journal of Systems Science and Complexity : Volume 21
  3. Journal of Systems Science and Complexity : Volume 21, Issue 1, March 2008
  4. Some Results on Generalized Difference Sets
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Journal of Systems Science and Complexity : Volume 30
Journal of Systems Science and Complexity : Volume 29
Journal of Systems Science and Complexity : Volume 28
Journal of Systems Science and Complexity : Volume 27
Journal of Systems Science and Complexity : Volume 26
Journal of Systems Science and Complexity : Volume 25
Journal of Systems Science and Complexity : Volume 24
Journal of Systems Science and Complexity : Volume 23
Journal of Systems Science and Complexity : Volume 22
Journal of Systems Science and Complexity : Volume 21
Journal of Systems Science and Complexity : Volume 21, Issue 4, December 2008
Journal of Systems Science and Complexity : Volume 21, Issue 3, September 2008
Journal of Systems Science and Complexity : Volume 21, Issue 1, March 2008
Forecasting China’s Foreign Trade Volume with a Kernel-Based Hybrid Econometric-Ai Ensemble Learning Approach
Cluster Synchronization in a Complex Dynamical Network with Two Nonidentical Clusters
Exploration of TCM Masters Knowledge Mining
Linear Quadratic Regulation for Discrete-Time Systems with Input Delay: Spectral Factorization Approach
The Hamming Distances of Negacyclic Codes of Length 2$^{ s }$ over GR(2$^{ a }$,m)
Dynamical Analysis of a 3-D Chaotic System with only Two Quadratic Nonlinearities
Some Results on Generalized Difference Sets
Nonmonotonic Reduced Projected Hessian Method Via an Affine Scaling Interior Modified Gradient Path for Bounded-Constrained Optimization
On-Line Scheduling of Unit Time Jobs with Rejection on Uniform Machines
Asymptotic Solution of Activator Inhibitor Systems for Nonlinear Reaction Diffusion Equations
A Multistep Finite Volume Method with Penalty for Thermal Convection Problems in Two or Three Dimensions
On ( $$\in, \in \vee q$$ )-Fuzzy Filters of BL-Algebras
Journal of Systems Science and Complexity : Volume 21, Issue 2, February 2008
Journal of Systems Science and Complexity : Volume 20
Journal of Systems Science and Complexity : Volume 19

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Some Results on Generalized Difference Sets

Content Provider SpringerLink
Author Cao, Xiwang
Copyright Year 2008
Abstract Sequences with ideal correlation functions have important applications in communications such as CDMA, FDMA, etc. It has been shown that difference sets can be used to construct such sequences. The author extends Pott and Bradley’s method to a much broader case by proposing the concept of generalized difference sets. Some necessary conditions for the existence of generalized difference sets are established by means of some Diophantine equations. The author also provides an algorithm to determine the existence of generalized difference sets in the cyclic group $${\mathbb{Z}}_v$$ . Some examples are presented to illustrate that our method works.
Starting Page 76
Ending Page 84
Page Count 9
File Format PDF
ISSN 10096124
Journal Journal of Systems Science and Complexity
Volume Number 21
Issue Number 1
e-ISSN 15597067
Language English
Publisher Springer US
Publisher Date 2008-01-01
Publisher Place Boston
Access Restriction Subscribed
Subject Keyword Correlation functions diophantine equations generalized difference sets Operations Research/Decision Theory Mathematical Modeling and Industrial Mathematics Probability Theory and Stochastic Processes Systems Theory, Control Industrial and Production Engineering ApplicationMathematics/Computational Methods of Engineering
Content Type Text
Resource Type Article
Subject Information Systems
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