combinatorial configuration

IMPROVEMENT OF CYCLIC CODES EFFECTIVENESS BY COMBINATORIAL OPTIMIZATION METHODS

The methods of improving the cyclic codes efficiency constructed on the basis of combinatorial configurations of the type "ideal ring bundles" (IRB) s by three factors – correction ability, power of coding method and complexity of the decoding procedure are considered. The method is based on the principle of combinatorial optimization, grounded on the algebraic theory of ordered integer sequences with a circular structure, all the numbers, as well as all sums of consecutive numbers exhaust the value sofnatural row numbers.

Багатовимірні моделі систем кодування на симетричних та асиметричних групах

This paper belongs to the field of systems engineering and is aimed at improving the qualitative indices of information technologies or systems with multidimensional characteristics (e.g. vector data coding design) with respect to reliability, precision and other significant operating characteristics of the systems based on the combinatorial configurations theory, namely the principle of optimal cyclic proportions (OCP).

Моделі оптимальних інформаційних систем на двовимірних комбінаторних конфігураціях

This paper belongs to the field of systems engineering and is aimed at improving the qualitative indices of vector data information technologies (e.g. 2D vector data coding design) with respect to reliability, precision and other significant operating characteristics of the systems based on the combinatorial configurations theory, namely the Ideal Ring Bundles (IRB)s.

Optimal codes on vector combinatorial configurations

Concept of coding systems optimizations based on vector combinatorial configurations (the Ideal Vector Rings models), with the optimization being embedded in the underlying combinatorial models, is regarded in this paper. This paper  is aimed at improving the qualitative indices of multidimensional vector data information technologies and computer systems with respect to transmission speed of vector data  with automatic error correction, and data security using a variety of multidimensional combinatorial configuration and finite cyclic group theory.