{"id":"https://openalex.org/W2117718985","doi":"https://doi.org/10.1109/isit.2013.6620439","title":"Lattice coding for the Two-way Two-relay channel","display_name":"Lattice coding for the Two-way Two-relay channel","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2117718985","doi":"https://doi.org/10.1109/isit.2013.6620439","mag":"2117718985"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1212.1198","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101863006","display_name":"Yiwei Song","orcid":"https://orcid.org/0009-0002-3730-4457"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yiwei Song","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL, USA","University of Illinois at Chicago Chicago, IL USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"University of Illinois at Chicago Chicago, IL USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079658437","display_name":"Natasha Devroye","orcid":"https://orcid.org/0000-0002-1619-4095"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Natasha Devroye","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL, USA","University of Illinois at Chicago Chicago, IL USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"University of Illinois at Chicago Chicago, IL USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059815013","display_name":"Huai-Rong Shao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101778","display_name":"Samsung (United States)","ror":"https://ror.org/01bfbvm65","country_code":"US","type":"company","lineage":["https://openalex.org/I2250650973","https://openalex.org/I4210101778"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huai-Rong Shao","raw_affiliation_strings":["US R&D Center (SISA), Samsung Electronics, San Jose, CA, USA","US R&D Center (SISA), Samsung Electron., San Jose, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"US R&D Center (SISA), Samsung Electronics, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210101778"]},{"raw_affiliation_string":"US R&D Center (SISA), Samsung Electron., San Jose, CA, USA","institution_ids":["https://openalex.org/I4210101778"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110002069","display_name":"Chiu Ngo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101778","display_name":"Samsung (United States)","ror":"https://ror.org/01bfbvm65","country_code":"US","type":"company","lineage":["https://openalex.org/I2250650973","https://openalex.org/I4210101778"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chiu Ngo","raw_affiliation_strings":["US R&D Center (SISA), Samsung Electronics, San Jose, CA, USA","US R&D Center (SISA), Samsung Electron., San Jose, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"US R&D Center (SISA), Samsung Electronics, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210101778"]},{"raw_affiliation_string":"US R&D Center (SISA), Samsung Electron., San Jose, CA, USA","institution_ids":["https://openalex.org/I4210101778"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4149,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.90758141,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1312","last_page":"1316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.996399998664856,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9890999794006348,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.8118999600410461},{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.7141516804695129},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6310340166091919},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6116069555282593},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.6107521057128906},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.5809293389320374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5736133456230164},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4924961030483246},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.42545628547668457},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.42356419563293457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4162499010562897},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.41600868105888367},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3486980199813843},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33629125356674194},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32032549381256104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2603710889816284},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.21237269043922424},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.17117613554000854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13612249493598938},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.13164019584655762},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.08001923561096191}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8118999600410461},{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.7141516804695129},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6310340166091919},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6116069555282593},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.6107521057128906},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.5809293389320374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5736133456230164},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4924961030483246},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.42545628547668457},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.42356419563293457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4162499010562897},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.41600868105888367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3486980199813843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33629125356674194},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32032549381256104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2603710889816284},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.21237269043922424},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.17117613554000854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13612249493598938},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.13164019584655762},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.08001923561096191},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2013.6620439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1212.1198","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.1198","pdf_url":"https://arxiv.org/pdf/1212.1198","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.751.3851","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.751.3851","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1212.1198.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.1198","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.1198","pdf_url":"https://arxiv.org/pdf/1212.1198","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1505858209","https://openalex.org/W1512015702","https://openalex.org/W1512163718","https://openalex.org/W1976109068","https://openalex.org/W2005196269","https://openalex.org/W2018300428","https://openalex.org/W2057929374","https://openalex.org/W2105955291","https://openalex.org/W2111992817","https://openalex.org/W2117718985","https://openalex.org/W2121714289","https://openalex.org/W2132100261","https://openalex.org/W2146033716","https://openalex.org/W2147355810","https://openalex.org/W2151450116","https://openalex.org/W2167447263","https://openalex.org/W2223761978","https://openalex.org/W2951416149","https://openalex.org/W2951598575","https://openalex.org/W2952966314","https://openalex.org/W4294375524"],"related_works":["https://openalex.org/W2369939250","https://openalex.org/W2355032504","https://openalex.org/W1588525449","https://openalex.org/W2050865889","https://openalex.org/W2375798515","https://openalex.org/W2145406111","https://openalex.org/W1966593131","https://openalex.org/W2393018242","https://openalex.org/W4376277154","https://openalex.org/W4384933762"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,69],"novel":[3],"lattice":[4,80,99,108],"coding":[5,109],"scheme":[6,110],"for":[7],"the":[8,48,59,63,76,83,92,106,118],"Two-way":[9],"Two-relay":[10],"Channel:":[11],"1":[12,21],"\u2194":[13,15,17],"2":[14,32],"3":[16,115],"4,":[18],"where":[19,52],"Node":[20],"and":[22,33,73],"4":[23],"communicate":[24],"with":[25,39],"each":[26,53],"other":[27],"through":[28],"two":[29],"relay":[30,54],"nodes":[31,89],"3.":[34],"Each":[35],"node":[36],"only":[37],"communicates":[38],"its":[40],"neighboring":[41],"nodes.":[42],"The":[43,101],"key":[44],"technical":[45],"contribution":[46],"is":[47,55,111],"lattice-based":[49],"achievability":[50],"strategy,":[51],"able":[56],"to":[57,94],"remove":[58],"noise":[60],"while":[61],"decoding":[62],"sum":[64],"of":[65,98,117],"several":[66],"signals":[67],"in":[68],"Block":[70],"Markov":[71],"strategy":[72],"then":[74],"re-encode":[75],"signal":[77],"into":[78],"another":[79],"codeword":[81],"using":[82],"so-called":[84],"\u201cRe-distribution":[85],"Transform\u201d.":[86],"This":[87],"allows":[88],"further":[90],"down":[91],"line":[93],"again":[95],"decode":[96],"sums":[97],"codewords.":[100],"symmetric":[102,119],"rate":[103,120],"achieved":[104],"by":[105],"proposed":[107],"within":[112],"1/2":[113],"log":[114],"bit/Hz/s":[116],"capacity.":[121]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}