Milova Y. The development of methods and algorithms of codes for information transmission with constant and variable parameters on digital communication channels

Milova J.A. The development of methods and algorithms of codes for information transmission with constant and variable parameters on digital communication channels. — Qualification academic work on the rights of the manuscript. The dissertation for obtaining an academic degree - Doctor of Philosophy in the field of study 172 "Telecommunications and radio engineering" (17 - Electronics and telecommunications). — State University of Telecommunications, Kyiv, 2021. The dissertation is devoted to the development of new principles of coding and protection against errors and unauthorized access, which resulted in the substantiation and creation of polyparametric block codes that can be used to transmit binary and decimal arrays of information, and to protect information from unauthorized access. Scientific provisions submitted for the defense, conclusions and recommendations of the dissertation belong to the author: ˗ the method of polyparametric coding of digital information; ˗ the presentation of the method for creating check patterns of block linear codes by using several polyparametric neighboring codewords, which are interconnected by functional dependency; ˗ creation of binary and special binary polyparametric ring codes, the check patterns of which are designed to detect and correct channel errors and are formed on shift indicators vectors of codewords; ˗ obtaining combinations of digital polyparametric codes that correct errors, represented by integer decimal numbers, based on the developed method, which uses the properties and features of the normalized natural sequence. ˗ phased compression of a natural sequence segment when creating polyparametric block codes, which are represented by unsigned integer decimal numbers, in order to reduce the value of the codeword; ˗ use of numerical fractals and their properties that allow you to effectively compress and recover any natural numbers, which can reduce the amount of content transmitted over communication channels, create conditions to prevent unauthorized access to information, the fractal matrix is used to encode/decode such codes. The dissertation has a scientific and practical nature, its main results are original, mathematically proved. The tasks considered are a new contribution to the perspective research direction of the theory of increase of the information noise tolerance transferred by communication channels. The codes described in the dissertation are universal. They are quite easy to adapt to protect information from unauthorized access. Keywords: ring code; identifier; codeword; natural sequence; signal sequence; base vector; numerical fractal; compressed equivalent; numerical summary code; compression criterion; poly-parametric codes; shift indicators vector, delta factor.