{"id":"https://openalex.org/W2029466501","doi":"https://doi.org/10.1109/eucnc.2014.6882643","title":"Eisenstein integer based multi-dimensional coded modulation for physical-layer network coding over F4 in the two-way relay channels","display_name":"Eisenstein integer based multi-dimensional coded modulation for physical-layer network coding over F4 in the two-way relay channels","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2029466501","doi":"https://doi.org/10.1109/eucnc.2014.6882643","mag":"2029466501"},"language":"en","primary_location":{"id":"doi:10.1109/eucnc.2014.6882643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eucnc.2014.6882643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Conference on Networks and Communications (EuCNC)","raw_type":"proceedings-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/A5100605495","display_name":"Fang Dong","orcid":"https://orcid.org/0000-0001-6770-326X"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Dong Fang","raw_affiliation_strings":["Department of Electronics, University of York, York, UK","Dept. of Electron., Univ. of York, York, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics, University of York, York, UK","institution_ids":["https://openalex.org/I52099693"]},{"raw_affiliation_string":"Dept. of Electron., Univ. of York, York, UK#TAB#","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072939307","display_name":"Alister G. Burr","orcid":"https://orcid.org/0000-0001-6435-3962"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alister Burr","raw_affiliation_strings":["Department of Electronics, University of York, York, UK","Dept. of Electron., Univ. of York, York, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics, University of York, York, UK","institution_ids":["https://openalex.org/I52099693"]},{"raw_affiliation_string":"Dept. of Electron., Univ. of York, York, UK#TAB#","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100364988","display_name":"Yi Wang","orcid":"https://orcid.org/0000-0002-9095-6879"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yi Wang","raw_affiliation_strings":["Department of Electronics, University of York, York, UK","Dept. of Electron., Univ. of York, York, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics, University of York, York, UK","institution_ids":["https://openalex.org/I52099693"]},{"raw_affiliation_string":"Dept. of Electron., Univ. of York, York, UK#TAB#","institution_ids":["https://openalex.org/I52099693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100605495"],"corresponding_institution_ids":["https://openalex.org/I52099693"],"apc_list":null,"apc_paid":null,"fwci":0.3448,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64904355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"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/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/T12791","display_name":"Full-Duplex Wireless Communications","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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9926000237464905,"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":0.6290985941886902},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5252965092658997},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49590644240379333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4941850006580353},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.44034305214881897},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43630772829055786},{"id":"https://openalex.org/keywords/gray-code","display_name":"Gray code","score":0.42695707082748413},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.4180441200733185},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.41383105516433716},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4106558859348297},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37558794021606445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33972686529159546},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32541418075561523},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2545473277568817},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13721466064453125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1318349838256836},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1248721182346344},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10121491551399231},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.09729653596878052}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6290985941886902},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5252965092658997},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49590644240379333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4941850006580353},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.44034305214881897},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43630772829055786},{"id":"https://openalex.org/C129861397","wikidata":"https://www.wikidata.org/wiki/Q332772","display_name":"Gray code","level":2,"score":0.42695707082748413},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.4180441200733185},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.41383105516433716},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4106558859348297},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37558794021606445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33972686529159546},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32541418075561523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2545473277568817},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13721466064453125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1318349838256836},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1248721182346344},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10121491551399231},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.09729653596878052},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/eucnc.2014.6882643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eucnc.2014.6882643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Conference on Networks and Communications (EuCNC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8787793700","display_name":null,"funder_award_id":"EP/K040006/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1512163718","https://openalex.org/W1975099099","https://openalex.org/W2005196269","https://openalex.org/W2048540241","https://openalex.org/W2050374329","https://openalex.org/W2153739324","https://openalex.org/W2154089176","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W2539674285","https://openalex.org/W1038122923","https://openalex.org/W1998322187","https://openalex.org/W2952514781","https://openalex.org/W3019210376","https://openalex.org/W2391145594","https://openalex.org/W2326572623","https://openalex.org/W1559320887","https://openalex.org/W2137838797","https://openalex.org/W2151578621"],"abstract_inverted_index":{"A":[0,85,107],"novel":[1,86],"multi-dimensional":[2],"coded":[3,75,124],"modulation":[4],"based":[5],"on":[6],"Eisenstein":[7],"integer":[8],"Z[w]":[9],"is":[10,35,70,126,144],"proposed":[11,45,98,130,137],"for":[12,43,72,128],"physical-layer":[13],"network":[14,123],"coding":[15],"(PNC)":[16],"over":[17,47,139],"the":[18,26,39,44,48,61,80,101,105,114,118,122,129,136],"finite":[19],"field":[20],"F":[21,51],"<sub":[22,52,141],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[23,53,142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sub>":[24,54,143],"in":[25],"two-way":[27],"relay":[28],"channel":[29,151],"(TWRC).":[30],"The":[31],"duo-binary":[32],"turbo":[33],"code":[34],"used":[36],"to":[37,59,99,146],"design":[38],"Construction":[40,82],"A-based":[41,83],"Z[w]-lattice":[42],"PNC":[46,138],"lattice":[49],"partition":[50],"\u2245":[55],"Z[w]/2Z[w].":[56],"In":[57],"order":[58],"improve":[60],"spectral":[62],"efficiency,":[63],"Ungerboeck's":[64],"mapping":[65,109],"by":[66],"set":[67],"partitioning":[68],"(MSP)":[69],"adopted":[71],"transmission":[73],"of":[74,79],"and":[76,88,121,150],"uncoded":[77],"layers":[78],"designed":[81],"Z[w]-lattice.":[84],"soft-demapper":[87],"a":[89],"new":[90,108],"ML":[91],"decoder":[92,152],"with":[93],"size-reduced":[94],"search":[95],"space":[96],"are":[97],"decode":[100],"superimposed":[102],"lattices":[103],"at":[104],"relay.":[106],"selection":[110],"criterion":[111],"which":[112],"maximizes":[113],"mutual":[115],"information":[116],"between":[117],"received":[119],"signal":[120],"combination":[125],"introduced":[127],"soft-demapper.":[131],"Numerical":[132],"results":[133],"show":[134],"that":[135],"IF":[140],"superior":[145],"compute-and-forward":[147],"using":[148],"integer-forcing":[149],"[5,":[153],"10].":[154]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}