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Perfect binary arrays with 36 elements

open access: yesElectronics Letters, 1987
The letter presents a new two-dimensional binary array with a perfect periodic autocorrelation function (PACF). Four decompositions of the new array in two-, three- and four-dimensional arrays with the same property are shown. These can be applied, for example, in time-frequency coding, two-dimensional synchronisation and image coding.
L Bomer, M Antweiler
exaly   +2 more sources
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Perfect binary arrays

Signal Processing, 1989
Abstract Perfect arrays have an impulse-like periodic autocorrelation function. Necessary conditions for the existence of perfect binary arrays are derived. With three specified construction procedures and based on few starting arrays, many new perfect binary arrays with increasing dimensions and sizes can be synthesized.
L Bomer, M Antweiler, H D Luke
exaly   +2 more sources

Two-dimensional perfect binary arrays with 64 elements

IEEE Transactions on Information Theory, 1990
Perfect binary arrays can exist for numbers of elements that are even square numbers. Two-dimensional (2-D) perfect binary arrays are 4, 16, 36, and 144 elements are known. Perfect binary arrays with 64 elements can be constructed for three or more dimensions. Here, two-dimensional binary arrays with 64 elements are examined.
L Bomer, M Antweiler
exaly   +3 more sources

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

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

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

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

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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