{"id":"https://openalex.org/W1999687844","doi":"https://doi.org/10.1109/allerton.2011.6120277","title":"The performance of low-density random linear fountain codes over higher order galois fields under maximum likelihood decoding","display_name":"The performance of low-density random linear fountain codes over higher order galois fields under maximum likelihood decoding","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W1999687844","doi":"https://doi.org/10.1109/allerton.2011.6120277","mag":"1999687844"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2011.6120277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2011.6120277","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5013664737","display_name":"Birgit Schotsch","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Birgit Schotsch","raw_affiliation_strings":["Institute of Communication Systems and Data Processing, RWTH Aachen University, Aachen, Germany","Institute of Communication Systems and Data Processing (ind), WTH Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Communication Systems and Data Processing, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Institute of Communication Systems and Data Processing (ind), WTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065115081","display_name":"Radu Lupoaie","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Radu Lupoaie","raw_affiliation_strings":["Institute of Communication Systems and Data Processing, RWTH Aachen University, Aachen, Germany","Institute of Communication Systems and Data Processing (ind), WTH Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Communication Systems and Data Processing, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Institute of Communication Systems and Data Processing (ind), WTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015405966","display_name":"Peter Vary","orcid":"https://orcid.org/0000-0002-5213-1825"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Vary","raw_affiliation_strings":["Institute of Communication Systems and Data Processing, RWTH Aachen University, Aachen, Germany","Institute of Communication Systems and Data Processing (ind), WTH Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Communication Systems and Data Processing, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Institute of Communication Systems and Data Processing (ind), WTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013664737"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":5.8298,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96131019,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1004","last_page":"1011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","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/T11321","display_name":"Error Correcting Code Techniques","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/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9993000030517578,"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/decoding-methods","display_name":"Decoding methods","score":0.6434741020202637},{"id":"https://openalex.org/keywords/fountain-code","display_name":"Fountain code","score":0.6362349987030029},{"id":"https://openalex.org/keywords/generator-matrix","display_name":"Generator matrix","score":0.603672206401825},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5822428464889526},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.5320257544517517},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.5169512629508972},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.5154350996017456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.514746904373169},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5024385452270508},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4856477975845337},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.45626330375671387},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4395163953304291},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.43942126631736755},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.4261564612388611},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3920033574104309},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34865814447402954},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2928774356842041},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2883363664150238},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.1821686029434204},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.1341429352760315},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09650152921676636}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6434741020202637},{"id":"https://openalex.org/C76132124","wikidata":"https://www.wikidata.org/wiki/Q5474786","display_name":"Fountain code","level":5,"score":0.6362349987030029},{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.603672206401825},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5822428464889526},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.5320257544517517},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.5169512629508972},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.5154350996017456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.514746904373169},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5024385452270508},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4856477975845337},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.45626330375671387},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4395163953304291},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.43942126631736755},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.4261564612388611},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3920033574104309},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34865814447402954},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2928774356842041},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2883363664150238},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.1821686029434204},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.1341429352760315},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09650152921676636},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2011.6120277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2011.6120277","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:publications.rwth-aachen.de:128311","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/128311","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton 2011) : Monticello, Illinois, USA, 28 - 30 September 2011 / [sponsored by the Coordinated Science Laboratory and the Department of Electrical and Computer Engineering of the University of Illinois at Urbana-Champaign. Chairs: S. Meyn ...]<br/>49. Annual Allerton Conference on Communication, Control, and Computing (Allerton 2011), Monticello, IL, USA, 2011-09-28 - 2011-09-30","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W2099521843","https://openalex.org/W2129716147","https://openalex.org/W2138779134","https://openalex.org/W2161342511","https://openalex.org/W2293000460","https://openalex.org/W2296125569","https://openalex.org/W2613956024","https://openalex.org/W2914659449","https://openalex.org/W2918466505","https://openalex.org/W4229922087","https://openalex.org/W4236737858","https://openalex.org/W4237064274","https://openalex.org/W4244625299"],"related_works":["https://openalex.org/W2964159840","https://openalex.org/W1995375624","https://openalex.org/W2005859948","https://openalex.org/W2132831318","https://openalex.org/W1983975287","https://openalex.org/W2110850469","https://openalex.org/W2133831677","https://openalex.org/W2135626675","https://openalex.org/W564714427","https://openalex.org/W2162141500"],"abstract_inverted_index":{"Digital":[0],"fountain":[1,33],"codes":[2,35,64,143],"over":[3,24,69,144],"higher":[4,70,86],"order":[5,71,149],"Galois":[6,72,145],"fields":[7,146],"exhibit":[8,36],"a":[9,25,45,66,112,118,130,154],"better":[10],"performance":[11],"than":[12],"their":[13,53,185],"binary":[14,170,186],"counter-":[15],"parts":[16],"under":[17],"maximum":[18],"likelyhood":[19],"(ML)":[20],"decoding":[21,50,158],"when":[22],"transmitted":[23],"symbol":[26,136],"erasure":[27,137],"channel":[28],"(SEC).":[29],"Especially":[30],"random":[31],"linear":[32],"(RLF)":[34],"an":[37,82],"excellent":[38],"performance,":[39],"though":[40],"at":[41,85],"the":[42,75,78,89,121,135,162,169,173],"expense":[43],"of":[44,77,91,120,148,159,164,172],"high":[46,54],"computational":[47,122],"complexity":[48,123],"for":[49,139],"due":[51],"to":[52,156,181],"density":[55,68,79,114],"generator":[56],"matrix.":[57],"For":[58,102],"practical":[59,110],"applications,":[60,111],"we":[61,128,152],"propose":[62,153],"RLF":[63],"with":[65],"reduced":[67],"fields.":[73],"Although":[74],"reduction":[76,115,119],"results":[80],"in":[81,109,161],"error":[83,93,103],"floor":[84,94,104],"reception":[87],"overheads,":[88],"level":[90],"this":[92],"can":[95,124],"be":[96,125,182],"well":[97],"controlled":[98],"by":[99,167,190],"two":[100],"parameters.":[101],"levels":[105],"that":[106,176],"are":[107,188],"tolerable":[108],"significant":[113],"and":[116],"thus":[117],"achieved.":[126],"Furthermore,":[127],"derive":[129],"general":[131],"upper":[132],"bound":[133],"on":[134],"rate":[138],"Luby":[140],"Transform":[141],"(LT)":[142],"Fq":[147],"q.":[150],"Finally,":[151],"method":[155],"enhance":[157],"Fq-codes":[160],"presence":[163],"bit":[165,191],"erasures":[166],"using":[168],"images":[171],"Fq-elements,":[174],"such":[175],"not":[177],"complete":[178],"Fq-elements":[179],"have":[180],"discarded":[183],"if":[184],"counterparts":[187],"impaired":[189],"erasures.":[192]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
