Methodological opportunities of including topic «Error correcting codes of Reed- Solomon» in teacher training higher education

In this article we are going to demonstrate how the topic “error correcting codes” can be used in training teachers of mathematics and IT. This topic is useful as teachers will know more about actual problems of information protection. The attempt to improve some shortcomings in scientific literature on Reed-Solomon codes (concerning students’ difficulties in understanding this topic) is presented here. The article describes the example of mathematical method of solving the problem of Reed-Solomon coding and decoding with error correction. Systematic coding is based on code seed, decoding is based on check matrix: this approach helps to avoid some difficulties in calculations.