{"id":"https://openalex.org/W2895077731","doi":"https://doi.org/10.1109/itw.2018.8613368","title":"Optimal Inputs for Some Classes of Degraded Wiretap Channels","display_name":"Optimal Inputs for Some Classes of Degraded Wiretap Channels","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2895077731","doi":"https://doi.org/10.1109/itw.2018.8613368","mag":"2895077731"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2018.8613368","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2018.8613368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066257035","display_name":"Alex Dytso","orcid":"https://orcid.org/0000-0003-0625-5306"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alex Dytso","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Department of Electrical Engineering Princeton University Princeton NJ USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering Princeton University Princeton NJ USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038057850","display_name":"Malcolm Egan","orcid":"https://orcid.org/0000-0003-2534-2018"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Malcolm Egan","raw_affiliation_strings":["Laboratoire CITI (a joint laboratory between the Université de Lyon, INRIA, and INSA de Lyon), 6 Avenue des Arts, Villeurbanne, F-69621, France","Laboratoire CITI (a joint laboratory between the Universit\u00e9 de Lyon, INRIA, and INSA de Lyon), 6 Avenue des Arts, Villeurbanne, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire CITI (a joint laboratory between the Université de Lyon, INRIA, and INSA de Lyon), 6 Avenue des Arts, Villeurbanne, F-69621, France","institution_ids":["https://openalex.org/I48430043","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Laboratoire CITI (a joint laboratory between the Universit\u00e9 de Lyon, INRIA, and INSA de Lyon), 6 Avenue des Arts, Villeurbanne, France","institution_ids":["https://openalex.org/I48430043","https://openalex.org/I1326498283","https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067353369","display_name":"Samir M. Perlaza","orcid":"https://orcid.org/0000-0002-1887-9215"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samir M. Perlaza","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Department of Electrical Engineering Princeton University Princeton NJ USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering Princeton University Princeton NJ USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042307561","display_name":"H. Vincent Poor","orcid":"https://orcid.org/0000-0002-2062-131X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Vincent Poor","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Department of Electrical Engineering Princeton University Princeton NJ USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering Princeton University Princeton NJ USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025989795","display_name":"Shlomo Shamai","orcid":"https://orcid.org/0000-0002-6594-3371"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Shlomo Shamai Shitz","raw_affiliation_strings":["Department of Electrical Engineering, Technion – Israel Institute of Technology, Haifa, Israel","Department of Electrical Engineering , Technion\u2014Israel Institute of Technology , Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion – Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering , Technion\u2014Israel Institute of Technology , Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5066257035"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":1.1777,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.80400181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12131","display_name":"Wireless Signal Modulation Classification","score":0.9825999736785889,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.7674172520637512},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.6501694917678833},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.629197359085083},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5090801119804382},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4936915338039398},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.48516398668289185},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4831492304801941},{"id":"https://openalex.org/keywords/secrecy","display_name":"Secrecy","score":0.4513385593891144},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44811493158340454},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.4471104145050049},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43166887760162354},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4171750247478485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40819796919822693},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.376559317111969},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3747031092643738},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2186136543750763},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20927298069000244},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12293368577957153},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08312579989433289},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0821218192577362},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07500925660133362},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06680256128311157}],"concepts":[{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7674172520637512},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6501694917678833},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.629197359085083},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5090801119804382},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4936915338039398},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.48516398668289185},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4831492304801941},{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.4513385593891144},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44811493158340454},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.4471104145050049},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43166887760162354},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4171750247478485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40819796919822693},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.376559317111969},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3747031092643738},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2186136543750763},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20927298069000244},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12293368577957153},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08312579989433289},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0821218192577362},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07500925660133362},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06680256128311157},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2018.8613368","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2018.8613368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W4080413","https://openalex.org/W1526898963","https://openalex.org/W1534416612","https://openalex.org/W1608227167","https://openalex.org/W1796539907","https://openalex.org/W1997680123","https://openalex.org/W2031724611","https://openalex.org/W2043769961","https://openalex.org/W2079364662","https://openalex.org/W2101726439","https://openalex.org/W2128153585","https://openalex.org/W2149320643","https://openalex.org/W2566769952","https://openalex.org/W2804224960","https://openalex.org/W3150304496","https://openalex.org/W4293702014","https://openalex.org/W4300093168"],"related_works":["https://openalex.org/W2493929861","https://openalex.org/W2475541339","https://openalex.org/W2107199751","https://openalex.org/W565335793","https://openalex.org/W2363071176","https://openalex.org/W99756173","https://openalex.org/W4300441478","https://openalex.org/W4375868756","https://openalex.org/W2111637050","https://openalex.org/W106403048"],"abstract_inverted_index":{"In":[0,24],"this":[1],"paper,":[2],"an":[3,6,30],"analysis":[4],"of":[5,14,45,57],"input":[7,31,60],"distribution":[8,32,61],"that":[9,33],"achieves":[10,34],"the":[11,35,55,58],"secrecy":[12,36],"capacity":[13,37],"a":[15],"general":[16],"degraded":[17],"additive":[18,65],"noise":[19,66],"wiretap":[20],"channel":[21],"is":[22,38],"presented.":[23],"particular,":[25],"using":[26],"convex":[27],"optimization":[28],"methods,":[29],"characterized":[39],"by":[40],"conditions":[41,50],"expressed":[42],"in":[43],"terms":[44],"integral":[46],"equations.":[47],"The":[48],"new":[49],"are":[51],"used":[52],"to":[53],"study":[54],"structure":[56],"optimal":[59],"for":[62],"three":[63],"different":[64],"cases:":[67],"vector":[68],"Gaussian;":[69],"scalar":[70,73],"Cauchy;":[71],"and":[72],"exponential.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}