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Hexagonal binary arrays with perfect correlation

Applied Optics, 2001
Two-dimensional binary signals (arrays) with good autocorrelation properties are needed for coded-aperture imaging systems. In many astrophysical instruments, circular detectors with hexagonally packed detector elements are used, such that hexagonal coded apertures are often preferable to rectangular ones. A general method for folding a one-dimensional
Hans Dieter Luke, Axel Busboom
exaly   +3 more sources

Cubical binary arrays with perfect odd-periodic autocorrelation

Signal Processing, 2004
Three-dimensional arrays with good autocorrelation functions are required in multidimensional signal processing. A generalized folding procedure is derived that permits the construction of such arrays from good correlating sequences for many array sizes.
Hans Dieter Luke
exaly   +2 more sources

The Spectrum Characters of Almost Perfect Binary Array Pair

2007 8th International Conference on Electronic Measurement and Instruments, 2007
The Fourier spectrum characters of the almost perfect binary array pair are studied, which is based on the concept of the almost perfect binary array pair. The distributions of the weights, existent range and the imbalance of almost perfect binary array pair are given by using this spectrum characters.
Zhang Li   +3 more
exaly   +2 more sources

Binary arrays with perfect odd-periodic autocorrelation

Applied Optics, 1997
Arrays with good autocorrelation functions are required for coded aperture imaging. A generalized folding procedure is derived that permits the construction of arrays with good correlation properties from well correlating sequences for many array sizes.
Hans Dieter Luke, Axel Busboom
exaly   +3 more sources

Composite matrix cipher based on perfect binary arrays

Radioelectronics and Communications Systems, 2013
A composite matrix cipher consisting of four partial ciphers and based on perfect binary arrays has been proposed. This cipher possesses an easily controlled level of data protection from unauthorized access and other practically acceptable computational properties.
M I Mazurkov
exaly   +3 more sources

Gamma sequences based on perfect binary arrays for data stream encryption

2016 International Conference on Electronics and Information Technology (EIT), 2016
In the paper the gamma sequences based on perfect binary arrays presented. Such structures can be applied to encryption of big data streams in real time. The designed gamma sequences meet the requirements of FIPS 140-1.
N. I. Kushnirenko, V. Ja. Chechelnytskyi
exaly   +2 more sources

Research on the Methods of Constructing Perfect Binary Array Pairs to Explore New Material Uses

Advances in Intelligent and Soft Computing, 2011
Perfect binary array pairs have good autocorrelation properties and can meet two conditions required by the processing of perfect signal in communications. By analyzing the properties of perfect binary array pairs and differences set pairs, the differences set pairs method for constructing perfect binary array pairs is presented. Polynomial is a common
Yuexia Qian, Guozheng Tao
exaly   +2 more sources

Perfect punctured binary array pairs

IEEE International Symposium on Communications and Information Technology, 2004. ISCIT 2004., 2005
The paper presents the definition of a perfect punctured binary array (matrix) pair and some combinatorial admissibility conditions for searching the perfect punctured binary array pair; some results of searching are listed. Like the perfect binary array and ternary array, construction methods of perfect punctured binary array pairs are proposed.
null Ting Jiang   +2 more
openaire   +1 more source

Nonexistence of a Kind of Generalized Perfect Binary Array

2006
Generalized perfect binary array(GPBA) is a useful tool in the construction of perfect binary arrays. By investigating the character values of corresponding relative difference sets, we obtain some nonexistence results of GPBAs. In particular, we show that no GPBA(2,2,pn) of any type z exists for n=1 and any odd prime p, or for any n and any odd prime $
Xiyong Zhang, Hua Guo 0001, Wenbao Han
openaire   +1 more source

Information security method based on perfect binary arrays

Radioelectronics and Communications Systems, 2008
It has been shown that algebraic structures in the form of perfect binary arrays (PBA) can be successfully used for building noise-immune radio communications systems. In addition, a PBA-based information security method was proposed against unauthorized access.
Mazurkov, Michael I.   +2 more
openaire   +2 more sources

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