Extended Linear Secure Secret Sharing(E-LSSS) for Dynamic Tean-Based Key Management

Abstract

Secure key management is a fundamental requirement in modern distributed and collaborative computing environments, where multiple users or systems mustsecurely access and share confidential information. In such environments, cryptographic keys act as the backbone of data protection, ensuring that sensitive information remains accessible only to authorized participants. As organizations increasingly rely on cloud platforms, remote collaboration tools, and decentralized architectures, the challenge of securely distributing and managing these keys becomes more complex. Any weaknessin key management can compromise the entire security infrastructure, leading to unauthorized access, data breaches, and loss of trust. By combining mathematical rigor with practical security enhancements, E-LSS significantly improves the core security principles of confidentiality, integrity, and availability. Confidentiality is reinforced through encryption and threshold enforcement, integrity is ensured through monitoring and verification mechanisms, and availability is maintained through distributed share storage and fault tolerance. Consequently, the proposed system not only preserves the theoretical strengths of LSSS but also adaptsit to meet the evolving security demands of modern distributed collaboration environments.