🤖 AI Summary
本文通过一个基于典型序列性质的反例，挑战了最近提出的一种中继信道容量表征方法，并使用ChatGPT-6 Astra辅助分析。
📝 Abstract
We present a counterexample to the relay channel capacity characterization proposed in a recent work, which is based on properties of typical sequences. The counterexample uses a binary relay channel with a noiseless source-destination component and binary symmetric relay links. An achievable scheme exceeds the proposed capacity characterization, thereby disproving the characterization of the capacity for general relay channels. We highlight that the counterexample is obtained with the assistance of ChatGPT-6 Astra and the proofs are simplified with human effort.