Research related to vehicular ad hoc networks (VANET) has received some significant attention in recent years. In fact, it has been attracting many researchers since its emergence in early 2000. The capability of VANET in providing information dissemination among the vehicles will become the future of our road transportation safety systems. VANET is loaded with intelligent transportation system (ITS) properties, that make all vehicles could communicate with each other. Despite all the advantages, the security and privacy in VANET still become the main challenge that is widely open to discussion. The authentication scheme plays a substantial role to guarantee the security and privacy of information circulation in VANET. In 2019, Lu et al. define the category of the authentication schemes deployed in VANET, based on its type of cryptography: symmetric cryptography-based, public key infrastructure-based (PKI-based), ID-based cryptography (IBC), certificateless signature/certificateless aggregate signature (CLS/CLAS)-based, and group signature-based. Therefore, in this dissertation, we classify four of our proposed schemes according to those categories. By developing some new approaches and improvements for safeguarding vehicle communications by implementing viable and light cryptographic systems, we have tried to find the best compromise in this specific area network of VANET and give them a rational judgment (strong proof).