{"id":"https://openalex.org/W2023284505","doi":"https://doi.org/10.1109/broadnets.2008.4769042","title":"On the alphabet size of a linear network code","display_name":"On the alphabet size of a linear network code","publication_year":2008,"publication_date":"2008-09-01","ids":{"openalex":"https://openalex.org/W2023284505","doi":"https://doi.org/10.1109/broadnets.2008.4769042","mag":"2023284505"},"language":"en","primary_location":{"id":"doi:10.1109/broadnets.2008.4769042","is_oa":false,"landing_page_url":"https://doi.org/10.1109/broadnets.2008.4769042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 5th International Conference on Broadband Communications, Networks and Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5084740578","display_name":"\u039d\u03b9\u03ba\u03cc\u03bb\u03b1\u03bf\u03c2 \u03a0\u03b1\u03c0\u03c0\u03ac\u03c2","orcid":"https://orcid.org/0000-0003-4416-7702"},"institutions":[{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]},{"id":"https://openalex.org/I8901234","display_name":"Foundation for Research and Technology Hellas","ror":"https://ror.org/052rphn09","country_code":"GR","type":"facility","lineage":["https://openalex.org/I8901234"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikolaos Pappas","raw_affiliation_strings":["Telecommunications and Networks Lab, Institute of Computer Science, FORTH & Department of Computer Science, University of Crete, Crete, Greece","FORTH & Dept. of Comput. Sci., Univ. of Crete, Heraklion"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecommunications and Networks Lab, Institute of Computer Science, FORTH & Department of Computer Science, University of Crete, Crete, Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"FORTH & Dept. of Comput. Sci., Univ. of Crete, Heraklion","institution_ids":["https://openalex.org/I142617266","https://openalex.org/I8901234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045576607","display_name":"Apostolos Traganitis","orcid":null},"institutions":[{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]},{"id":"https://openalex.org/I8901234","display_name":"Foundation for Research and Technology Hellas","ror":"https://ror.org/052rphn09","country_code":"GR","type":"facility","lineage":["https://openalex.org/I8901234"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Apostolos Traganitis","raw_affiliation_strings":["Telecommunications and Networks Lab, Institute of Computer Science, FORTH & Department of Computer Science, University of Crete, Crete, Greece","FORTH & Dept. of Comput. Sci., Univ. of Crete, Heraklion"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecommunications and Networks Lab, Institute of Computer Science, FORTH & Department of Computer Science, University of Crete, Crete, Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"FORTH & Dept. of Comput. Sci., Univ. of Crete, Heraklion","institution_ids":["https://openalex.org/I142617266","https://openalex.org/I8901234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07137395,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"53","last_page":"57"},"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9976000189781189,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.994700014591217,"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/alphabet","display_name":"Alphabet","score":0.8564064502716064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6341438293457031},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6101676821708679},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.6053327322006226},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.5190520882606506},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.49717214703559875},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4782761037349701},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3649340271949768},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34729519486427307},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34116652607917786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3052259087562561},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22874301671981812},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09859424829483032},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07619205117225647}],"concepts":[{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.8564064502716064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6341438293457031},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6101676821708679},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.6053327322006226},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.5190520882606506},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.49717214703559875},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4782761037349701},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3649340271949768},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34729519486427307},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34116652607917786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3052259087562561},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22874301671981812},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09859424829483032},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07619205117225647},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/broadnets.2008.4769042","is_oa":false,"landing_page_url":"https://doi.org/10.1109/broadnets.2008.4769042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 5th International Conference on Broadband Communications, Networks and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W646142101","https://openalex.org/W2105831729","https://openalex.org/W2123562143","https://openalex.org/W2134859306","https://openalex.org/W2178000824","https://openalex.org/W2542298476","https://openalex.org/W2798588639"],"related_works":["https://openalex.org/W4302345037","https://openalex.org/W2731094954","https://openalex.org/W2789273959","https://openalex.org/W2952978498","https://openalex.org/W1998712144","https://openalex.org/W4292730466","https://openalex.org/W2951616510","https://openalex.org/W2026774722","https://openalex.org/W2377699565","https://openalex.org/W3081644756"],"abstract_inverted_index":{"The":[0],"alphabet":[1,31,61],"size":[2,32,62],"of":[3,14,33,66],"a":[4,8,15,18,26,34,56,64],"network":[5,19,36],"code":[6,16,37],"is":[7],"crucial":[9],"parameter":[10],"for":[11,38,63],"the":[12,30,46,50,60],"existence":[13],"in":[17],"topology.":[20],"In":[21,52],"this":[22],"paper":[23],"we":[24,54],"present":[25],"method":[27,57],"to":[28,58],"compute":[29],"linear":[35],"an":[39],"one-source":[40],"acyclic":[41],"directed":[42],"graph":[43],"using":[44],"only":[45],"outgoing":[47],"edges":[48],"from":[49],"source.":[51],"addition":[53],"show":[55],"reduce":[59],"class":[65],"combination":[67],"networks.":[68]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}