Kubitskiy V. Methods and tools for error-correcting coding of information in computer systems based on the code of Lagrange

The thesis is devoted to the development of methods and tools for error-correcting coding to protect the information from errors in computer systems, as well as methods and tools for operations in finite fields.The requirements for immunity codes for computer systems. The methods and means of coding complete and incomplete codes Lagrange. On the basis of coding incomplete code Lagrange developed adaptive coding methods. The methods and means of transcoding Lagrange codes for use in cases where the change is not the whole array of encoded data Lagrange code, but only part of it. Developed and the methods, procedures, devices, and circuits computing syndromes in decoding multiple errors, erasures, multiple errors and erasures codes Lagrange. The methods for coding based on Lagrangian codes to recover lost packets in their transmission from the network.