对基于格子的物理层安全性的调查,用于具有模块格子结构的无线系统
Hassan Khodaiemehr1, Khadijeh Bagheri1, Amin Mohajer1
1School of Engineering, Faculty of Applied Science, University of British Columbia (UBC), Okanagan Campus, Kelowna, BC V1V 1V7, Canada.
Entropy (Basel, Switzerland)
|February 27, 2026
概括
格子代码通过利用通道不对称性来提高无线通信安全性,避免计算硬度. 这项调查统一了格子结构和无线模型,为安全系统提供了新的见解.
科学领域:
- 信息理论 信息理论
- 无线通信无线通信
- 格子理论 格子理论
背景情况:
- 物理层安全 (PLS) 为无线系统提供信息理论上的安全性.
- 格子代码对于在窃听通道上实现保密至关重要.
- 代数数字理论支了格子代码结构.
研究的目的:
- 调查基于格子的窃听编码,以确保物理层的安全性.
- 将无线通道模型与代数格子结构统一.
- 为安全的无线通信系统提供新的设计见解.
主要方法:
- 审查代数数论和格子构造 (例如,构造A).
- 分析保密度指标,如保密度增长和模两可.
- 整合不确定的theta序列和模块化完成混合签名格子.
主要成果:
- 建立了一个统一的视角,连接无线通道和格子结构.
- 描述了新的p-模块格子,并证明了扩展的不存在.
- 概述了使用模块化完成的theta序列在无限设置中保密的分析基础.
结论:
- 代数格子技术对于物理层安全至关重要.
- 新型格子结构为增强无线安全提供了潜力.
- 复杂的格子结构在安全通信中需要先进的分析工具.
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