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Strong Secrecy on a Class of Degraded Broadcast Channels Using Polar Codes
Jaume Del Olmo Alos1, Javier Rodríguez Fonollosa1
1Departament de Teoria del Senyal i Communications (TSC), Universitat Politècnica de Catalunya, Barcelona 08034, Spain.
New polar coding schemes achieve optimal secrecy for broadcast channels, ensuring reliable communication for intended users while protecting information from eavesdroppers through layered decoding or secrecy strategies.
Area of Science:
- Information Theory
- Coding Theory
- Cybersecurity
Background:
- Broadcast channels present challenges in securely transmitting information to multiple users while preventing eavesdropping.
- Polar codes offer a theoretical solution for achieving channel capacity, but their application to secure broadcast scenarios requires tailored approaches.
Purpose of the Study:
- To propose and analyze polar coding schemes for memoryless degraded broadcast channels that achieve asymptotic secrecy capacity.
- To address varying reliability and secrecy requirements using layered decoding and layered secrecy structures.
Main Methods:
- Development of polar coding schemes tailored for degraded broadcast channels.
- Implementation of layered decoding and layered secrecy frameworks.
- Theoretical analysis of asymptotic secrecy-capacity achievement.
- Performance evaluation through simulations.
Main Results:
- Proposed polar coding schemes achieve asymptotic secrecy capacity for the specified channel model.
- Layered decoding enhances reliability for receivers with better channel quality.
- Layered secrecy effectively masks information from eavesdroppers with poorer channel quality.
Conclusions:
- The proposed polar coding schemes provide a viable method for secure communication over degraded broadcast channels.
- Layered structures offer flexible trade-offs between reliability and secrecy.
- Practical constructions and simulations validate the theoretical performance of the schemes.
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