Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 10, Issue 1


Published
on

March 19, 2025


Pages


DOI

Article

Research on Group Theory Strategies in Computer Security Mechanisms and Collaborative Defense Techniques for Distributed Systems

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Authors

Ning Peng Affiliation:
Public Foundation College, Shanghai Civil Aviation College, Shanghai, 200232, China.


Abstract

This paper proposes a public key cryptosystem strategy based on group theory as the core of cooperative defense data encryption technology to build a distributed cooperative defense system. By establishing a computer network communication data encryption model based on an NTRU-like public key cryptosystem, link layer encryption, and end-to-end encryption are calculated. The multi-authorization center attribute data encryption model is constructed, and the distributed collaborative defense system is designed from the two aspects of system communication structure and distributed access. The performance simulation test is carried out for the distributed collaborative defense system based on the group theory strategy constructed in this paper. When the number of invasions is 1000, the system can still maintain a high defense success rate of 98.2% and has excellent invasion defense performance. When the attack strength reaches 60Mbps, the system can still provide normal command output and maintains 30.8Mbytes of network bandwidth at 5000packets/sec attack rate. The average service response time of this paper’s system only reaches a maximum of 5.23ms under different rate hopping modes, which can efficiently withstand the attack.


Keywords

Group theory, Data encryption model, NTRU-like public key cryptography, Cooperative defense techniques, 68T45


Citation

Peng, N. (2025). Research on group theory strategies in computer security mechanisms and collaborative defense techniques for distributed systems. Applied Mathematics and Nonlinear Sciences, 10(1). https://doi.org/10.2478/amns-2025-0370
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