Truck platooning, a system where multiple trucks travel together in a coordinated manner using automated driving technology, has gained traction due to its potential to improve fuel efficiency, traffic management, and safety. However, the reliance on secure and reliable communication between the trucks introduces challenges in terms of cybersecurity, particularly in the context of post-quantum security. A robust solution is the use of lattice-based cryptography to design Byzantine Fault-Tolerant (BFT) aggregate signatures. The proposed truck platooning is secure, authenticated, and provides reliable communication. In this framework, trucks follow the platoon leader or other control systems without deviations due to malicious or faulty nodes. This also ensures efficient communication as the size of the platoon increases. This is resilience against eavesdropping, message tampering, and replay attacks, even with the advent of quantum computers.