{"id":"https://openalex.org/W2111300206","doi":"https://doi.org/10.1109/tit.1972.1054815","title":"On the existence of group codes for the Gaussian channel","display_name":"On the existence of group codes for the Gaussian channel","publication_year":1972,"publication_date":"1972-05-01","ids":{"openalex":"https://openalex.org/W2111300206","doi":"https://doi.org/10.1109/tit.1972.1054815","mag":"2111300206"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1972.1054815","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054815","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","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/A5053017592","display_name":"E. Biglieri","orcid":"https://orcid.org/0000-0002-8867-2455"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Biglieri","raw_affiliation_strings":["Politecnico diTorino, Istituto di Elettronica e Telecomunicazioni, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico diTorino, Istituto di Elettronica e Telecomunicazioni, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080629927","display_name":"Michele Elia","orcid":"https://orcid.org/0000-0002-8074-8232"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Elia","raw_affiliation_strings":["Politecnico diTorino, Istituto di Elettronica e Telecomunicazioni, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico diTorino, Istituto di Elettronica e Telecomunicazioni, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":1.0368,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.83170515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"3","first_page":"399","last_page":"402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9908000230789185,"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/T11130","display_name":"Coding theory and cryptography","score":0.9876000285148621,"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/dimension","display_name":"Dimension (graph theory)","score":0.6122618913650513},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5982404351234436},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5545036792755127},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5280065536499023},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5088479518890381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4923645257949829},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43092620372772217},{"id":"https://openalex.org/keywords/group-code","display_name":"Group code","score":0.42027008533477783},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4102601110935211},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35833531618118286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31303226947784424},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.24533846974372864},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.16041609644889832},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.1311282217502594},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09790089726448059},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09419235587120056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06293228268623352}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6122618913650513},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5982404351234436},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5545036792755127},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5280065536499023},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5088479518890381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4923645257949829},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43092620372772217},{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.42027008533477783},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4102601110935211},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35833531618118286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31303226947784424},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.24533846974372864},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.16041609644889832},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.1311282217502594},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09790089726448059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09419235587120056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06293228268623352},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.1972.1054815","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054815","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:porto.polito.it:1401659","is_oa":false,"landing_page_url":"http://porto.polito.it/1401659/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0018-9448","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1524614871","https://openalex.org/W1589940326","https://openalex.org/W1970398696","https://openalex.org/W1979598217","https://openalex.org/W2046273783","https://openalex.org/W2476791979","https://openalex.org/W4248759322","https://openalex.org/W4251974981"],"related_works":["https://openalex.org/W1987895267","https://openalex.org/W2350519135","https://openalex.org/W2390619334","https://openalex.org/W2184221808","https://openalex.org/W2740147593","https://openalex.org/W2052190160","https://openalex.org/W2375327612","https://openalex.org/W2547800031","https://openalex.org/W2760756043","https://openalex.org/W2402985742"],"abstract_inverted_index":{"A":[0],"number":[1,40],"of":[2,13,26,29,36,41,45],"theorems":[3],"are":[4],"given,":[5],"which":[6],"give":[7],"insight":[8],"into":[9],"the":[10,17,27,46],"algebraic":[11],"structure":[12],"group":[14,30],"codes":[15,31],"for":[16,32],"Gaussian":[18],"channel,":[19],"as":[20],"defined":[21],"by":[22],"Slepian.":[23],"The":[24],"problem":[25],"existence":[28],"a":[33],"given":[34],"pair":[35],"defining":[37],"parameters":[38],"(i.e.,":[39],"codewordsM,":[42],"and":[43],"dimension":[44],"signal":[47],"spacen)":[48],"is":[49],"partially":[50],"solved.":[51]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}