BASIC SIGNAL CODING METHODS BASED ON GALA CODES

Abstract

The theoretical basics of data-free encoding of data based on recurrent GK-codes are presented, analysis and comparison of existing coding methods and their protocols with the proposed method, the principle of GK-codes formation based on Galois code sequence and transmission of coded data-free data are substantiated. The theoretical foundations and principles of signaling codes used to manipulate bit-oriented data streams in computer system information channels are proposed, taking into account the extent of signal space utilization and signal shape, the rate of message transmission and the degree of error protection. The RSSC provides effective symmetric coding in the form of Galois codes of sequences of zeros and units of a data block, with unambiguous determination of their number that can be used to detect and correct errors after data transmission on computer systems. A special feature of the structure of this special processor is the symmetrical formation of Galois data bit signs. Moreover, the start of the Galois generator occurs according to the appearance of the first bit of zero or one in the data stream. New methods of signal-free bit encoding of bit-oriented information flows using Galois field codes have been proposed, which enable the detection and correction of one-time errors without inputting excess data streams transmitted in an optical channel. Formalization of functional structures of modules of processors of formation of hopeless codes has been formalized, as well as structures of special processors and their components have been developed, which perform the formation of Galois signal corrective codes and implement their algorithmic modeling.