In modern distributed systems, secure group communication is paramount, particularly where sensitive data and independent access to shared secrets are required. This paper introduces a novel scheme for secure group-based secret sharing and key constructions, employing Shamir’s Threshold Scheme and cryptographic commitments to ensure confidentiality, integrity, and efficiency. Empirical results demonstrate significant improvements in key distribution efficiency and reduced computational overhead compared to existing approaches. The proposed scheme enables secure and individual key reconstruction with central authority support, eliminating the need for simultaneous group participation. Limitations, such as potential reliance on the central authority and scalability challenges in highly dynamic groups, are acknowledged, with suggestions for mitigation. Commitment checks and hash verification further enhance security, providing a scalable and robust solution for secure group key management.