{"id":"https://openalex.org/W2144925985","doi":"https://doi.org/10.1109/tit.2011.2120010","title":"The Capacity Region of Multiway Relay Channels Over Finite Fields With Full Data Exchange","display_name":"The Capacity Region of Multiway Relay Channels Over Finite Fields With Full Data Exchange","publication_year":2011,"publication_date":"2011-04-21","ids":{"openalex":"https://openalex.org/W2144925985","doi":"https://doi.org/10.1109/tit.2011.2120010","mag":"2144925985"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2120010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2120010","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1106.1969","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050821228","display_name":"Lawrence Ong","orcid":"https://orcid.org/0000-0001-7109-5308"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Lawrence Ong","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia","Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010753349","display_name":"Sarah J. Johnson","orcid":"https://orcid.org/0000-0001-6011-3013"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Sarah J. Johnson","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia","Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022096550","display_name":"Christopher M. Kellett","orcid":"https://orcid.org/0000-0002-8309-6807"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Christopher M. Kellett","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia","Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050821228"],"corresponding_institution_ids":["https://openalex.org/I78757542"],"apc_list":null,"apc_paid":null,"fwci":16.444,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.99332143,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"57","issue":"5","first_page":"3016","last_page":"3031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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":1.0,"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":0.9988999962806702,"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":0.995199978351593,"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":0.8720309138298035},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7848093509674072},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.7294331789016724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6633957624435425},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.6526639461517334},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.6084423065185547},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.5997202396392822},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5886824727058411},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.573922336101532},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.4975281059741974},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49395614862442017},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.49263888597488403},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.46571019291877747},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.45061907172203064},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4452192783355713},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3323821723461151},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3227742314338684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2663440704345703},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12261655926704407},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10660690069198608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10596469044685364},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07296997308731079}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8720309138298035},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7848093509674072},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.7294331789016724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6633957624435425},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.6526639461517334},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.6084423065185547},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.5997202396392822},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5886824727058411},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.573922336101532},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.4975281059741974},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49395614862442017},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.49263888597488403},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.46571019291877747},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.45061907172203064},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4452192783355713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3323821723461151},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3227742314338684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2663440704345703},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12261655926704407},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10660690069198608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10596469044685364},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07296997308731079},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2011.2120010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2120010","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:arXiv.org:1106.1969","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1969","pdf_url":"https://arxiv.org/pdf/1106.1969","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:10.1.1.756.5602","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.5602","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/1106.1969.pdf","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/29017961","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Journal contribution"},{"id":"pmh:uon:9203","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/920723","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1106.1969","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1969","pdf_url":"https://arxiv.org/pdf/1106.1969","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":53,"referenced_works":["https://openalex.org/W623155509","https://openalex.org/W1505858209","https://openalex.org/W1512015702","https://openalex.org/W1592482298","https://openalex.org/W1743079022","https://openalex.org/W1802395297","https://openalex.org/W1972645421","https://openalex.org/W1979408141","https://openalex.org/W1982109272","https://openalex.org/W1984313855","https://openalex.org/W1989008275","https://openalex.org/W2057929374","https://openalex.org/W2063534993","https://openalex.org/W2084434466","https://openalex.org/W2092253947","https://openalex.org/W2098596014","https://openalex.org/W2099056574","https://openalex.org/W2105519212","https://openalex.org/W2108016639","https://openalex.org/W2118696754","https://openalex.org/W2123350510","https://openalex.org/W2123890708","https://openalex.org/W2124731181","https://openalex.org/W2129504043","https://openalex.org/W2129771846","https://openalex.org/W2131688910","https://openalex.org/W2133292495","https://openalex.org/W2140227342","https://openalex.org/W2141152913","https://openalex.org/W2142901448","https://openalex.org/W2143005940","https://openalex.org/W2147355810","https://openalex.org/W2149287780","https://openalex.org/W2149615851","https://openalex.org/W2152496949","https://openalex.org/W2157639858","https://openalex.org/W2164166019","https://openalex.org/W2164688227","https://openalex.org/W2170787829","https://openalex.org/W2478708596","https://openalex.org/W2541473967","https://openalex.org/W2950813095","https://openalex.org/W2951260506","https://openalex.org/W2952359005","https://openalex.org/W2964264449","https://openalex.org/W3102428700","https://openalex.org/W4298339511","https://openalex.org/W6635532581","https://openalex.org/W6638211556","https://openalex.org/W6643371419","https://openalex.org/W6684149133","https://openalex.org/W6728961455","https://openalex.org/W6786073383"],"related_works":["https://openalex.org/W2103160470","https://openalex.org/W2481962518","https://openalex.org/W4300695165","https://openalex.org/W2370616926","https://openalex.org/W2151578621","https://openalex.org/W2113295431","https://openalex.org/W2997734155","https://openalex.org/W2964140842","https://openalex.org/W2073479625","https://openalex.org/W3105889493"],"abstract_inverted_index":{"The":[0,44],"multiway":[1,28,152],"relay":[2,29,153],"channel":[3,35],"is":[4,31,52,55,90],"a":[5,16,25,106],"multicast":[6],"network":[7],"where":[8,33,72,101],"<i":[9],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</i>":[11],"users":[12,74,103],"exchange":[13],"data":[14],"through":[15],"relay.":[17],"In":[18],"this":[19,149],"paper,":[20],"the":[21,34,49,69,73,94,99,120,123,130,135,145],"capacity":[22,50,95,146],"region":[23,51,147],"of":[24,27,148,151],"class":[26,150],"channels":[30],"derived,":[32],"inputs":[36],"and":[37,54,86,111],"outputs":[38],"take":[39],"values":[40],"over":[41],"finite":[42],"fields.":[43],"cut-set":[45],"upper":[46],"bound":[47],"to":[48,57,92,118],"derived":[53],"shown":[56],"be":[58],"achievable":[59],"by":[60],"our":[61],"proposed":[62],"functional-decode-forward":[63],"coding":[64,125],"strategy.":[65],"More":[66],"specifically,":[67],"for":[68,98],"general":[70],"case":[71,100],"can":[75],"transmit":[76,104],"at":[77,105],"possibly":[78],"different":[79],"rates,":[80],"functional-decode-forward,":[81],"combined":[82],"with":[83],"rate":[84,109],"splitting":[85,110],"joint":[87,112],"source-channel":[88,113],"decoding,":[89],"proved":[91],"achieve":[93,119],"region;":[96],"while":[97],"all":[102],"common":[107],"rate,":[108],"decoding":[114],"are":[115],"not":[116,128,143],"required":[117],"capacity.":[121],"That":[122],"capacity-achieving":[124],"strategies":[126],"do":[127],"utilize":[129],"users'":[131,136],"received":[132],"signals":[133],"in":[134],"encoding":[137],"functions":[138],"implies":[139],"that":[140],"feedback":[141],"does":[142],"increase":[144],"channels.":[154]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":18}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
