Soft decoding based on ordered subsets of verification equations of turbo-productive codes

Methods of soft decoding of cascade code constructions based on the schemes-products of linear block codes (Turbo Product Codes) are considered. An approach is being developed based on the iterative exchange of soft solutions between block codes constituting a cascade design. It is shown that a sequential execution of procedures for the formation of ordered subsets of test equations and the logarithms estimation of a likelihood ratio allows decoding of turbo-productive codes according to the criterion of minimizing the erroneous reception of code symbols.