{"doi":"10.1002/j.1538-7305.1975.tb02040.x","title":"The Wire-Tap Channel","abstract":"We consider the situation in which digital data is to be reliably transmitted over a discrete, memoryless channel (dmc) that is subjected to a wire-tap at the receiver. We assume that the wire-tapper views the channel output via a second dmc). Encoding by the transmitter and decoding by the receiver are permitted. However, the code books used in these operations are assumed to be known by the wire-tapper. The designer attempts to build the encoder-decoder in such a way as to maximize the transmission rate R, and the equivocation d of the data as seen by the wire-tapper. In this paper, we find the trade-off curve between R and d, assuming essentially perfect (“error-free”) transmission. In particular, if d is equal to Hs, the entropy of the data source, then we consider that the transmission is accomplished in perfect secrecy. Our results imply that there exists a C <inf xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</inf> > 0, such that reliable transmission at rates up to C <inf xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</inf> is possible in approximately perfect secrecy.","journal":"Bell System Technical Journal","year":1975,"id":6461,"datarank":34.010087820923104,"base_score":8.8698199525084,"endowment":8.8698199525084,"self_citation_contribution":1.3304729928762602,"citation_network_contribution":32.679614828046844,"self_endowment_contribution":1.3304729928762602,"citer_contribution":32.679614828046844,"corpus_percentile":99.2,"corpus_rank":1729,"citation_count":7113,"citer_count":200,"citers_with_citation_signal":200,"citers_with_endowment":200,"datacite_reuse_total":0,"is_dataset":false,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"1975-10-01","authors":[{"id":59517,"name":"A.D. Wyner","orcid":null,"position":1,"is_corresponding":false},{"id":59516,"name":"A. D. Wyner","orcid":null,"position":0,"is_corresponding":true}],"reference_count":5,"raw_metadata":{"citation_network_status":"fetched"},"created_at":"2026-03-01T18:20:47.508186Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}