A nonexistence result for abelian menon difference sets using perfect binary arrays
Combinatorica, 1995Perfect binary arrays are used to prove that if an Abelian group \(G= H\times K\times Z_{p^\alpha}\) (\(p\) an odd prime, \(|K|= p^\alpha\), \(p^j\equiv -1\pmod{\exp(H)}\)) contains a Hadamard (Menon) difference set, then \(G\) must be cyclic.
Arasu, K. T. +2 more
openaire +2 more sources
Asymmetric Binary Plasmon Resonator Arrays for Perfect Trapping of Light
Plasmonics, 2016We propose to achieve perfect trapping of light with asymmetric binary plasmon resonator arrays on metal substrates, in which antisymmetrically coupled resonance modes are excited in each subwavelength period to eliminate any leaky radiation. The specific structure in the study is an ultrathin binary metal stripe array on a flat metal substrate ...
Ling Guo, Zhijun Sun
openaire +1 more source
Family of two-dimensional correcting codes on a basis of perfect binary array
Radioelectronics and Communications Systems, 2009We consider a family of two-dimensional correcting E(N)-codes on a basis of perfect binary arrays H(N), and we show correcting possibilities of E(N)-codes in comparison with corresponding BCH-codes with maximal length are essentially better with regard to correction of package (correlated) errors, at that, uncorrelated errors are corrected identically.
Baranov, P. Ye. +3 more
openaire +2 more sources
Complete class of perfect binary arrays for 144 elements
Radioelectronics and Communications Systems, 2009A method has been proposed for building the complete class of perfect binary arrays having the size of 12×12 and its cardinality has been estimated.
openaire +2 more sources
Operation algorithms and block diagrams of codecs of orthogonal codes based on perfect binary arrays
Radioelectronics and Communications Systems, 2007Algorithms and efficient block diagrams of coder and decoders of sliding correlative decoding with regard to regular structural properties of double-loop cyclic shift of orthogonal codes based on perfect binary arrays are offered.
Mazurkov, Michael I. +1 more
openaire +2 more sources
Class of minimax error-corecting codes based on perfect binary arrays
Radioelectronics and Communications Systems, 2011Aregular synthesis method has been developed for synthesizing infinite families of minimax M(N)-classes of perfect binary arrays having order N = 2k, where k is arbitrary natural number. This method enabled us to construct a new class of four-parameter minimax error-correcting M(n)-codes having length n = N2 that possess many practically attractive ...
openaire +2 more sources
Synthesis of binary arrays with perfect correlation properties — coded aperture imaging
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1993Abstract A new method for the synthesis of binary arrays which have perfect cross-correlation properties is presented. The arrays, which are discussed with an emphasis on coded aperture imaging, may also be of use in a number of other applications, including signal processing, telecommunications and radio antenna design.
openaire +1 more source
Fast orthogonal transforms based on perfect binary arrays
2006A new rule is suggested for construction of a new class of fast orthogonal transformations —matrices C, orders n = (2k)2 and n = (3∙2k)2, k = 1, 2, ..., built with the aid of perfect binary arrays of the orders N = 2k or N = 3∙2k. It is shown that binary orthogonal matrices C possess a practically attractive property of multi-purpose cyclic shift (N ...
Mazurkov, Michael I. +1 more
openaire +1 more source
The properties of the full class of perfect binary arrays for 36 elements
2004A new rule is suggested for construction of the Π(6)-class of perfect binary arrays (PBA) for 36 elements used for generation of the full U(6)-class of PBA. The properties of PBA of minimax M(6)-classes are defined. Also, the properties of the correlation functions of systems of orthogonal signals based on PBA of cyclic E(6)-classes are investigated.
Mazurkov, Michael I. +1 more
openaire +1 more source
Classes of minimax bi-phase signals based on perfect binary arrays
2006Based on the full class of perfect binary arrays of the order N = 8 and of the volume J = 688128, an ensemble of minimax bi-phase signals of the length n = N2 = 64, with their correlation parameter Rmin max= 6, is set up. It is established that the correlation properties of normal systems (64×64) of bi-phase signals based on perfect binary arrays are ...
Mazurkov, Michael I. +2 more
openaire +1 more source

