Cryptographic Systems and Threats in e-Commerce

XXI century companies must adapt their business models to run on the internet. At present the transactions made on the WWW are countless ideas of commercial applications on it seem endless. This paper describes the concepts related to the terminology used in e-commerce, cryptosystems that are used to protect information, new attacks on cryptosystems and the main strategies to give users confidence and trust on transactions for buying and selling, which are the problems to be solved by information technology. This study concludes with recommendations related to creating new philosophies to online businesses, involving government policies and security, in order to pass the physical trading of e-Business with complete confidence by the end customer.