New Secure Password-based Authentication Procedure using Chebyshev Chaotic Maps

Protecting public keys from unauthorized access is crucial in public key cryptosystems (PKC). Typically, password authentication methods must have at a minimum one institution to verify both public and private keys. The aim of this paper is to introduce a new, efficient password authentication method that's established on Chebyshev chaotic maps over Galois fields, marking a significant advancement in cryptographic security. Chebyshev chaotic maps are renowned for their sensitive dependence on fundamental circumstances and complex dynamics, making them ideal for enhancing password security. Through a comprehensive analysis of Chebyshev map theory and its application in generating unpredictable sequences, we developed an authentication architecture that not only improves security but also maintains user convenience. This proposed method offers robust security while maintaining a straightforward authentication process.