An Enhanced Learning with Error-Based Cryptosystem: A Lightweight Quantum-Secure Cryptography Method

Mostefa Kara, Konstantinos Karampidis, Giorgos Papadourakis (), Mohammad Hammoudeh and Muath AlShaikh
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Mostefa Kara: Interdisciplinary Research Center for Intelligent Secure Systems (IRC-ISS), King Fahd University of Petroleum and Minerals (KFUPM), Dhahran 31261, Saudi Arabia
Konstantinos Karampidis: Department of Electrical and Computer Engineering, Hellenic Mediterranean University, 71410 Heraklion, Greece
Giorgos Papadourakis: Department of Electrical and Computer Engineering, Hellenic Mediterranean University, 71410 Heraklion, Greece
Mohammad Hammoudeh: Department of Computing and Mathematics, Manchester Metropolitan University, Manchester M15 6BH, UK
Muath AlShaikh: Cybersecurity Program, College of Engineering, Al Ain University, Abu Dhabi P.O. Box 64141, United Arab Emirates

J, 2024, vol. 7, issue 4, 1-15

Abstract: Quantum-secure cryptography is a dynamic field due to its crucial role in various domains. This field aligns with the ongoing efforts in data security. Post-quantum encryption (PQE) aims to counter the threats posed by future quantum computers, highlighting the need for further improvement. Based on the learning with error (LWE) system, this paper introduces a novel asymmetric encryption technique that encrypts entire messages of n bits rather than just 1 bit. This technique offers several advantages including an additive homomorphic cryptosystem. The robustness of the proposed lightweight public key encryption method, which is based on a new version of LWE, ensures that private keys remain secure and that original data cannot be recovered by an attacker from the ciphertext. By improving encryption and decryption execution time—which achieve speeds of 0.0427 ms and 0.0320 ms, respectively—and decreasing ciphertext size to 708 bits for 128-bit security, the obtained results are very promising.

Keywords: learning with error; homomorphic encryption; post-quantum technique; data privacy; information security (search for similar items in EconPapers)
JEL-codes: I1 I10 I12 I13 I14 I18 I19 (search for similar items in EconPapers)
Date: 2024
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