Criptografia via curvas elípticas: aplicações na educação básica

Abstract

In this work, we present several examples of cryptographic schemes used at different times in hystory to illustrate the evolution of technology applied to encrypt messages. We then briefly describe Diffie and Hellman’s contributions to public key cryptography and give the description of the RSA scheme. Afterwards, we explain what is an elliptic curve and how it is applied to encript informations. In addition, we present some ideas of algorithms and their importance to solve problems. In particular, the concept of algorithm is closely related to the process of decrypting message by intruders. At the end, we give some suggestions of activities for teaching these topics in basic education.