Error Correction of Transmission of Binary Information

The problem of increase in reliability of transmission and data storage in computing systems and networks for the purpose of creation of new codes for detection and error correction is considered. The vectorial encoding technique having small information redundance - one check bit on a binary data word is researched, graphic and mathematical methods of its representation are considered. The new varieties of vectorial codes described in the form of polynomials for error correction in flows of words of binary data or in the arrays which are dynamically transferred between components of the computing system which allow to increase the frequency of detection and correction of errors are offered.