| dc.contributor.author | Ligong Wang | |
| dc.contributor.other | Department of Information Technology and Electrical Engineering, ETH Zurich, 8092 Zurich, Switzerland | |
| dc.date.accessioned | 2025-08-27T02:32:22Z | |
| dc.date.accessioned | 2025-10-08T09:10:04Z | |
| dc.date.available | 2025-10-08T09:10:04Z | |
| dc.date.issued | 01-06-2025 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025590 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/39120 | |
| dc.description.abstract | Given a discrete memoryless channel and a target distribution on its output alphabet, one wishes to construct a length-$ n $ rate-$ R $ codebook such that the output distribution—computed over a codeword that is chosen uniformly at random—should be close to the $ n $-fold tensor product of the target distribution. Here 'close' means that the relative entropy between the output distribution and said $ n $-fold product should be small. We characterize the smallest achievable relative entropy divided by $ n $ as $ n $ tends to infinity. We then demonstrate two applications of this result. The first application is an alternative proof of the achievability of the rate-equivocation region of the wiretap channel. The second application is a new capacity result for communication subject to state masking in the scenario where the decoder has access to channel-state information. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | Output statistics, equivocation, and state masking | |
| dc.type | Article | |
| dc.description.keywords | relative entropy | |
| dc.description.keywords | soft covering | |
| dc.description.keywords | approximation of output statistics | |
| dc.description.keywords | equivocation | |
| dc.description.keywords | wiretap channel | |
| dc.description.keywords | state masking | |
| dc.description.pages | 13151-13165 | |
| dc.description.doi | 10.3934/math.2025590 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | oai:doaj.org/journal:db76bc6a3c1541588e86659fd3796858 | |
| dc.journal.info | Volume 10, Issue 6 | |
