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Capacity Bounds for Broadcast Channels With Confidential Messages

机译：具有机密消息的广播频道的容量限制

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This paper studies capacity bounds for discrete memoryless broadcast channels with confidential messages. Two private messages as well as a common message are transmitted; the common message is to be decoded by both receivers, while each private message is only for its intended receiver. In addition, each private message is to be kept secret from the unintended receiver where secrecy is measured by equivocation. Both inner and outer bounds are proposed to the rate equivocation region for broadcast channels with confidential messages. The proposed inner bound generalizes Csiszar and Korner's rate equivocation region for broadcast channels with a single confidential message, Liu 's achievable rate region for broadcast channels with perfect secrecy, Marton's and Gel'fand-Pinsker's achievable rate region for general broadcast channels. The proposed outer bounds, together with the inner bound, help establish the rate equivocation region of several classes of discrete memoryless broadcast channels with confidential messages, including the less noisy, deterministic, and semideterministic broadcast channels. Furthermore, specializing to the general broadcast channel by removing the confidentiality constraint, the proposed outer bounds reduce to new capacity outer bounds for the discrete memory broadcast channel.
机译：本文研究具有机密消息的离散无记忆广播信道的容量限制。传输两个私人消息以及一个公共消息；公用消息将由两个接收器解码，而每个专用消息仅用于其预期的接收器。此外，每个私人消息都应对意外接收方保密，在意外接收方通过模棱两可来衡量保密性。对于具有机密消息的广播频道，速率边界模棱两可的范围内外都有建议。拟议的内部界限将具有单个机密消息的广播频道的Csiszar和Korner费率模棱两可的区域推广，对于具有完全保密性的广播频道，将对Liu的可实现的利率区域进行一般化，将一般广播频道的Marton和Gel'fand-Pinsker的可实现的利率区域进行广义化。拟议的外部界限与内部界限一起，有助于建立带有机密消息的几类离散无记忆广播信道的速率等效区域，包括低噪声，确定性和半确定性广播信道。此外，通过消除机密性约束，专门针对通用广播信道，所提出的外部边界减小为离散存储器广播信道的新容量外部边界。

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