POLYPARAMETRIC BLOCK CODING
Julia Milova
State University of Telecommunications, Educational-Scientific Institute of Telecommunications (Ukraine)
http://orcid.org/0000-0002-9977-2195
Yuri Melnik
melnik_yur@ukr.netState University of Telecommunications, Educational-Scientific Institute of Telecommunications (Ukraine)
https://orcid.org/0000-0002-5028-8749
Abstract
The principles of poly-parametric information coding have been considered. The methods for developing poly-parametric codes have been presented. It is shown that the protection of block codes from channel interference using check patterns can be developed by a mono- or poly-parametric method. A special type of block codes has been presented, the check patterns of which are formed on the basis of their neighbours, which are functionally related to the given code combination. Such codes have been called poly-parametric. Binary poly-parametric ring codes, the check patterns of which are designed to detect and correct channel errors, are developed using the properties of Galois fields and on the basis of the vector shift indicators of the codewords. To obtain digital poly-parametric block codes, the properties and features of the normalized natural sequence are used. It is shown that each codeword of a binary block code can be represented as a certain positive integer in the decimal number system, which is an element of the natural sequence. Its elements on an interval that equals the norm acquire a functional dependency.
Keywords:
codeword, vector shift indicators, natural sequence, poly-parametric codesReferences
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Authors
Julia MilovaState University of Telecommunications, Educational-Scientific Institute of Telecommunications Ukraine
http://orcid.org/0000-0002-9977-2195
Authors
Yuri Melnikmelnik_yur@ukr.net
State University of Telecommunications, Educational-Scientific Institute of Telecommunications Ukraine
https://orcid.org/0000-0002-5028-8749
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