ANALYSIS OF CRYPTOGRAPHIC KEY EXCHANGE ALGORITHMS AND THEIR SECURITY PROBLEMS
Abstract
Cryptographic key exchange protocols are foundational to secure digital communication, enabling two parties to establish shared secrets over untrusted networks. This paper presents a comprehensive analysis of classical (pre-quantum) key exchange algorithms—specifically Diffie–Hellman (DH), Elliptic Curve Diffie–Hellman (ECDH), and RSA-based key transport—focusing on their theoretical security foundations, implementation practices, and real-world vulnerabilities. Drawing on research from 2020 to 2025, we examine how these protocols function under standard assumptions such as the hardness of the discrete logarithm and integer factorization problems, and we analyze a range of attack vectors including man-in-the-middle, padding oracles, side-channel leakage, and fault-based exploits. Our findings highlight the cryptographic and practical superiority of ephemeral ECDH, which offers forward secrecy and robust resistance to modern threats. In contrast, RSA key exchange, while once dominant, is now largely deprecated due to inherent limitations like the lack of forward secrecy and susceptibility to Bleichenbacher-style attacks. We also review mitigation strategies—such as authenticated exchanges, input validation, constant-time implementations, and parameter hardening—and discuss their adoption in standards like TLS 1.3. The paper concludes that while classical key exchange remains secure against conventional adversaries when correctly implemented, continuous vigilance and adherence to best practices are essential. These insights serve to inform protocol designers and implementers navigating the transition to post-quantum cryptography while maintaining strong interim security.
References
Merget, R., Brinkmann, M., Aviram, N., Somorovsky, J., Mittmann, J., & Schwenk, J. (2021). Raccoon Attack: Finding and Exploiting Most-Significant-Bit Oracles in TLS-DH(E). In 30th USENIX Security Symposium (pp. 213–230). USENIX Association. (Timing side-channel attack on TLS Diffie–Hellman key exchange.)
Pfeiffer, S., & Tihanyi, N. (2024). D(HE)at: A Practical Denial-of-Service Attack on the Finite Field Diffie–Hellman Key Exchange. IEEE Access, 12, 957–980. https://doi.org/10.1109/ACCESS.2023.3347422. (Demonstrates a DoS attack exploiting the computational cost of DH on servers.)
Greß, H., et al. (2025). The Newer, the More Secure? Standards-Compliant Bluetooth Low Energy Man-in-the-Middle Attacks on Fitness Trackers. Sensors, 25(6), 1815. https://doi.org/10.3390/s25061815. (Analyzes BLE pairing, including a fixed-coordinate invalid curve ECDH attack and countermeasures.)
Järpe, E. (2020). An Alternative Diffie–Hellman Protocol. Cryptography, 4(1), 5. https://doi.org/10.3390/cryptography4010005. (Background on Diffie–Hellman, discusses authentication improvements and quantum threat.)
Sullivan, G. A., Sippe, J., & Heninger, N. (2022). Open to a Fault: On the Passive Compromise of TLS Keys via Transient Errors. In 31st USENIX Security Symposium. USENIX Association. (Shows how transient hardware faults during RSA operations can reveal private keys, enabling decryption of TLS sessions.)
Bartle, C., & Aviram, N. (2024). Deprecating Obsolete Key Exchange Methods in TLS 1.2 (IETF Internet-Draft). (Recommends deprecation of RSA and finite-field DH in TLS 1.2 due to their vulnerabilities, citing Bleichenbacher attacks and lack of forward secrecy.)
Cremers, C., & Jackson, D. (2019). Prime, Order Please! Revisiting Small Subgroup and Invalid Curve Attacks on Diffie–Hellman. In 32nd IEEE Computer Security Foundations Symposium (CSF 2019). (Highlights the gap between formal proofs assuming prime-order groups and real-world attacks when implementations use non-prime order groups; develops models capturing small subgroup and invalid curve attacks.)
Adrian, D., et al. (2015). Imperfect Forward Secrecy: How Diffie–Hellman Fails in Practice. In ACM CCS 2015. (Logjam attack paper; though outside 5-year range, foundational context for weak DH parameter attacks.)
Böhme, R., et al. (2018). Return of Bleichenbacher’s Oracle Threat (ROBOT). In 27th USENIX Security Symposium. (Revived Bleichenbacher attack against TLS implementations in 2018.)
Biham, E., & Neumann, S. (2018). Breaking the Bluetooth Pairing: Fixed Coordinate Invalid Curve Attack. In ACM ASIACCS 2018. (Describes the BLE MITM attack by forcing ECC point coordinates, referenced in Sensor (2025) paper.)