Códigos corretores de erros no ensino médio : um estudo sobre o código de Hamming

Abstract

In this work, we present the Error Correcting Codes and, in particular, the Hamming Code, as a highly suitable content to be introduced and approached in High School. With this aim in mind, we have developed a theoretical study of a bibliographic character of some works developed within the scope of the PROFMAT on the subject, which present proposals of application of these codes at this level of education, which is a process known as Didactic Transposition. Next, we conducted a study of the Hamming code in its first formulation found in (Hamming, 1950) and in its formulation by matrices found in (Rousseau, 2015), and finally, we developed a didactic sequence for the introduction and teaching of the Hamming Code in High School. In view of all this scenario, we seek with this work to contribute in the process of introducing this theme as one of the contents to be approached in the near future in High School.