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Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Quantum-resistant adaptive RSA (QR-ARSA) for secure networks

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pp. 2025–2035Vol. 28Issue 5-BAugust 2025DOI: 10.47974/JDMSC-2420 Crossmark XML
Received:
05 Nov 2024
Published Online:
30 Aug 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2420
Pages:
2025–2035

Abstract

This paper introduces Quantum-Resistant Adaptive RSA (QR-ARSA), a groundbreaking cryptographic algorithm that enhances traditional RSA with three innovative mechanisms: (1) dynamic prime morphing to prevent factorization attacks, (2) quantum-entangled key pairing for MITM resistance, and (3) noise-injected modular exponentiation to eliminate side-channel vulnerabilities. QR-ARSA achieves 2256 security against quantum attacks while maintaining <20% overhead over standard RSA-3072. Theoretical analysis proves its resistance to Shor’s algorithm (requiring 4× more qubits) and differential power analysis (SNR < -120dB). Benchmark results on FPGA platforms demonstrate 37% faster key rotation compared to post-quantum NIST finalists. The algorithm is backward compatible with existing PKI infrastructure, making it immediately deployable for secure network protocols.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

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