Development of binary information compression methods based on the binomial numerical function

The application of data compression methods is an effective means improving the performance information systems. At same time, interest aroused to without loss which are distinguished by their versatility, low needs costs during implementation, and possibility self-control. In this regard, binomial numbering systems promising. numerical function system used for compression. It makes it possible put sequences in one-to-one compliance with numbers. case, transition from binary combinations numbers as intermediate stage. During study, theorems were formulated that indicate properties compressing restoring mappings well ways implementation. Models processes obtained on basis a function, both case compressible equilibrium when general form be compressed. models include coding steps based binomials. study results show effectiveness applying function. A 1.02 times increase speed transmission through communication channel was observed worst 18.29 best depending number ones 128-bit combinations. proposed advantageous due high ratio (from 1.01 16 sequences) versatility: compressed 75 % total variation range. developed ensure control errors conversions. They undemanding computation resources feature implementation costs.