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<p>This paper presents a quantum-resistant multi-factor authentication and digital identity management framework founded on twisted group ring cryptography. The proposed approach employs non-abelian algebraic operations and a secure twisting function satisfying the 2-cocycle condition to strengthen identity verification. Security is derived from the intractability of the Twisted Conjugacy Search Problem (TCSP) and the Twisted Ring Discrete Logarithm Problem (TRDLP), ensuring robustness against both classical and quantum adversaries. Unlike conventional methods, the framework integrates password, biometric, and contextual factors within a unified algebraic structure, enabling cryptographic binding of user credentials with minimal computational cost. Analytical and experimental evaluations confirm that the proposed scheme achieves compact key representation, reduced authentication latency, and enhanced scalability. These characteristics demonstrate its potential for secure, efficient, and post-quantum-resilient authentication in modern digital ecosystems.</p>

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Secure multi-factor authentication and digital identity management using twisted group ring-based cryptography

  • 期刊论文

  • 发表日期：

    2025年12月20日

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  • R. Krishnaprabha

摘要

This paper presents a quantum-resistant multi-factor authentication and digital identity management framework founded on twisted group ring cryptography. The proposed approach employs non-abelian algebraic operations and a secure twisting function satisfying the 2-cocycle condition to strengthen identity verification. Security is derived from the intractability of the Twisted Conjugacy Search Problem (TCSP) and the Twisted Ring Discrete Logarithm Problem (TRDLP), ensuring robustness against both classical and quantum adversaries. Unlike conventional methods, the framework integrates password, biometric, and contextual factors within a unified algebraic structure, enabling cryptographic binding of user credentials with minimal computational cost. Analytical and experimental evaluations confirm that the proposed scheme achieves compact key representation, reduced authentication latency, and enhanced scalability. These characteristics demonstrate its potential for secure, efficient, and post-quantum-resilient authentication in modern digital ecosystems.