Byzantine Multiple Access Channels -- Part II: Communication With Adversary Identification

التفاصيل البيبلوغرافية
العنوان: Byzantine Multiple Access Channels -- Part II: Communication With Adversary Identification
المؤلفون: Sangwan, Neha, Bakshi, Mayank, Dey, Bikash Kumar, Prabhakaran, Vinod M.
سنة النشر: 2023
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Computer Science - Information Theory
الوصف: We introduce the problem of determining the identity of a byzantine user (internal adversary) in a communication system. We consider a two-user discrete memoryless multiple access channel where either user may deviate from the prescribed behaviour. Owing to the noisy nature of the channel, it may be overly restrictive to attempt to detect all deviations. In our formulation, we only require detecting deviations which impede the decoding of the non-deviating user's message. When neither user deviates, correct decoding is required. When one user deviates, the decoder must either output a pair of messages of which the message of the non-deviating user is correct or identify the deviating user. The users and the receiver do not share any randomness. The results include a characterization of the set of channels where communication is feasible, and an inner and outer bound on the capacity region. We also show that whenever the rate region has non-empty interior, the capacity region is same as the capacity region under randomized encoding, where each user shares independent randomness with the receiver. We also give an outer bound for this randomized coding capacity region.
Comment: arXiv admin note: substantial text overlap with arXiv:2105.03380
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2309.11174
رقم الأكسشن: edsarx.2309.11174
قاعدة البيانات: arXiv