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NTRU-Like Random Congruential Public-Key Cryptosystem for Wireless Sensor Networks.
Anas Ibrahim1,2, Alexander Chefranov2, Nagham Hamad3
1Department of Computer Systems Engineering, Palestine Technical University-Kadoorie, Tulkarm 7, Palestine.
A new Random Congruential Public Key Cryptosystem (RCPKC) offers enhanced security and efficiency for wireless sensor networks (WSNs). This cryptographic method significantly boosts speed and reduces energy consumption, extending WSN device lifespan.
Area of Science:
- Cryptography and Network Security
- Wireless Sensor Networks (WSNs)
- Internet of Things (IoT)
Background:
- Wireless sensor networks (WSNs) are crucial for IoT but require efficient cryptographic protection due to power constraints.
- Existing public-key cryptosystems like NTRU and Congruential Public Key Cryptosystem (CPKC) face vulnerabilities, such as lattice basis reduction attacks (LBRA), and performance limitations.
- NTRU's reliance on high-degree polynomials and CPKC's use of small integers make them susceptible to attacks and less efficient for resource-constrained WSNs.
Purpose of the Study:
- To propose a secure and efficient public-key cryptosystem, RCPKC, specifically designed for the demands of wireless sensor networks.
- To address the security vulnerabilities and performance inefficiencies of existing cryptosystems like NTRU and CPKC.
- To enhance the speed and reduce the energy consumption of cryptographic operations in WSNs.
Main Methods:
- Introduction of RCPKC, a random congruential public key cryptosystem operating on degree N=0 polynomials modulo q.
- Ensuring security by designing the private key such that the norm of its two-dimensional vector exceeds q, mitigating LBRA.
- Development of RCPKC asymmetric encryption padding (RAEP) for IND-CCA2 security, analogous to NTRU's NAEP.
Main Results:
- RCPKC demonstrates significantly improved performance, being approximately 27 times faster in encryption and decryption compared to NTRU.
- RCPKC outperforms the effective NTRU variant BQTRU by more than three times in speed.
- Energy consumption is reduced by at least 30 times, leading to a similar increase in the operational lifespan of WSN devices.
Conclusions:
- RCPKC offers a secure and highly efficient alternative for WSN cryptography, overcoming the limitations of NTRU and CPKC.
- The proposed system provides correct decryption for legitimate users while thwarting attackers using LBRA through Gaussian lattice reduction.
- RCPKC's speed and low energy requirements are ideal for extending the lifetime of battery-powered, unattended wireless sensor networks.
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