The Continuous Logarithm in the Complex Circle for Post-Quantum Cryptographic Algorithms
Cryptography and Security
2025-01-22 v1
Abstract
This paper introduces a novel cryptographic approach based on the continuous logarithm in the complex circle, designed to address the challenges posed by quantum computing. By leveraging its multi-valued and spectral properties, this framework enables the reintroduction of classical algorithms (DH, ECDSA, ElGamal, EC) and elliptic curve variants into the post-quantum landscape. Transitioning from classical or elliptic algebraic structures to the geometric and spectral properties of the complex circle, we propose a robust and adaptable foundation for post-quantum cryptography.
Cite
@article{arxiv.2501.10394,
title = {The Continuous Logarithm in the Complex Circle for Post-Quantum Cryptographic Algorithms},
author = {Jaafar Gaber},
journal= {arXiv preprint arXiv:2501.10394},
year = {2025}
}