Optimal codes on vector combinatorial configurations
Journal Title: Vìsnik Nacìonalʹnogo unìversitetu "Lʹvìvsʹka polìtehnìka". Serìâ Ìnformacìjnì sistemi ta merežì - Year 2015, Vol 814, Issue
Abstract
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. Some problems of computer engineering and information technologies which deal with profitable use of mathematical methods for optimization of coding systems based on the two-and multidimensional Ideal Ring Bundles (tD-IRB)s are regarded with special attention being paid to interpretations of multidimensional Ideal Ring Bundles as vector cyclic groups and its numerous isomorphic transformations using theoretical relation of the mathematical models with reference to the well-known cyclic difference sets theory. The possibility for design of high performance systems of the optimal monolithic vector coding systems which provide vector data coding in torus frame of reference using combinatorial optimization is shown. It is proved that the proposed techniques provide design of high performance vector data coding and control systems using combinatorial optimization. Definitions of the Ring Monolithic Vector Codes are given such as Numerical Optimum Ring Code, Two-dimensional Optimum Ring Code and Multidimensional Optimum Ring Code. These design techniques make it possible to configure optimal two- and multidimensional vector coding systems using fewer code combinations in the system, while maintaining or improving on code size and the other significant operating characteristics using high speed corrected coding possibility of the system.
Authors and Affiliations
Volodymyr Riznyk
Keywords
Related Articles
- EP ID EP617526
- DOI -
- Views 157
- Downloads 0
Intellectual Analysis of Transformation Process of the Algebra Algorithm Formulas
The processes of transforming the algorithm algebra formulas are described. The algorithm for calculation of geometrical parameters of unithrams is given. Synthesized, minimized, built a mathematical model and investigat...
Hurst exponent evaluated via calculated by box-counting method on short time series example fractal dimension
The three versions of box counting algorithm for determining the fractal dimension of a spreadsheet Ms Excel is implemented. Values of Hearst exponent have been obtained for ten short individual time series, by the desig...
Forecasting network requests numbers to cloud application
The article contains analysis of existing time series forecast methods. It is estimated how these methods fit to time series of network requests to a cloud application. Optimal forecasting methods have been chosen for di...
Sequential kernel fuzzy clustering of big data based on computational intelligence hybrid system
The architecture and self-learning method of hybrid neuro-fuzzy systems for big fuzzy clustering in on-line mode are proposed in this paper. The architecture of proposed system represents the hybrid of the fuzzy general...
Methods of forming matrices of timetables based on the use of modified permanent
In this article is proposed the technique of schedule matrices analysis for scheduling task based on the certain modifications of permanent. The proposed method of schedule construction use various configurations and rep...