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This book focuses on the design of secure and efficient signature and signcryption schemes for vehicular ad-hoc networks (VANETs). We use methods such as public key cryptography (PKI), identity-based cryptography (IDC), and certificateless cryptography (CLC) to design bilinear pairing and elliptic curve cryptography-based signature and signcryption schemes and prove their security in the random oracle model. The signature schemes ensure the authenticity of source and integrity of a safety message. While signcryption schemes ensure authentication and confidentiality of the safety message in a single logical step. To provide readers to study the schemes that securely and efficiently process a message and multiple messages in vehicle to vehicle and vehicle to infrastructure communications is the main benefit of this book. In addition, it can benefit researchers, engineers, and graduate students in the fields of security and privacy of VANETs, Internet of vehicles securty, wireless body area networks security, etc.