{"id":"https://openalex.org/W2469336840","doi":"https://doi.org/10.1109/ict.2016.7500492","title":"Non-binary LDPC codes over finite division near rings","display_name":"Non-binary LDPC codes over finite division near rings","publication_year":2016,"publication_date":"2016-05-01","ids":{"openalex":"https://openalex.org/W2469336840","doi":"https://doi.org/10.1109/ict.2016.7500492","mag":"2469336840"},"language":"en","primary_location":{"id":"doi:10.1109/ict.2016.7500492","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ict.2016.7500492","pdf_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7500492","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 23rd International Conference on Telecommunications (ICT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7500492","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072655873","display_name":"Matthias Korb","orcid":"https://orcid.org/0000-0002-4922-7981"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210127325","display_name":"Broadcom (United States)","ror":"https://ror.org/035gt5s03","country_code":"US","type":"company","lineage":["https://openalex.org/I4210127325"]}],"countries":["CH","US"],"is_corresponding":true,"raw_author_name":"Matthias Korb","raw_affiliation_strings":["Broadcom Ltd., Irvine, CA, USA","Integrated System Laboratory, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Broadcom Ltd., Irvine, CA, USA","institution_ids":["https://openalex.org/I4210127325"]},{"raw_affiliation_string":"Integrated System Laboratory, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008760191","display_name":"Andrew Blanksby","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127325","display_name":"Broadcom (United States)","ror":"https://ror.org/035gt5s03","country_code":"US","type":"company","lineage":["https://openalex.org/I4210127325"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Blanksby","raw_affiliation_strings":["Broadcom Ltd., Portland, OR, USA"],"affiliations":[{"raw_affiliation_string":"Broadcom Ltd., Portland, OR, USA","institution_ids":["https://openalex.org/I4210127325"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072655873"],"corresponding_institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4210127325"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06625136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","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/T11321","display_name":"Error Correcting Code Techniques","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9986000061035156,"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/T10125","display_name":"Advanced Wireless Communication Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.8981708288192749},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6656455397605896},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5527716875076294},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5075563192367554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4581434428691864},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.42725974321365356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41875168681144714},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.390570729970932},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3791794776916504},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.3566854000091553},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.25489509105682373},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.15043801069259644}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8981708288192749},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6656455397605896},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5527716875076294},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5075563192367554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4581434428691864},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.42725974321365356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41875168681144714},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.390570729970932},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3791794776916504},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3566854000091553},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.25489509105682373},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.15043801069259644}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ict.2016.7500492","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ict.2016.7500492","pdf_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7500492","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 23rd International Conference on Telecommunications (ICT)","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1109/ict.2016.7500492","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ict.2016.7500492","pdf_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7500492","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 23rd International Conference on Telecommunications (ICT)","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2469336840.pdf","grobid_xml":"https://content.openalex.org/works/W2469336840.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1484354944","https://openalex.org/W2039415523","https://openalex.org/W2046073577","https://openalex.org/W2085021014","https://openalex.org/W2111045463","https://openalex.org/W2128765501","https://openalex.org/W2154887764","https://openalex.org/W2169072570","https://openalex.org/W2533404701","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W2139745099","https://openalex.org/W2485298482","https://openalex.org/W1782566311","https://openalex.org/W2135838798","https://openalex.org/W1650655882","https://openalex.org/W1968988046","https://openalex.org/W2139406003","https://openalex.org/W2015101254","https://openalex.org/W2126543779","https://openalex.org/W2169710030"],"abstract_inverted_index":{"It":[0,82],"is":[1,70,83],"almost":[2],"always":[3],"assumed":[4],"that":[5,72,85],"the":[6,37,41,63,88,91],"algebraic":[7,42,75],"structure":[8,43,76],"underlying":[9],"non-binary":[10,21,46,95],"Low-Density":[11],"Parity-Check":[12],"(LDPC)":[13],"codes":[14,97],"are":[15,28],"Finite":[16,26,52],"Fields.":[17],"However,":[18],"when":[19],"considering":[20],"LDPC":[22,47,96,106],"belief-propagation":[23],"(BP)":[24],"decoding,":[25],"Fields":[27],"actually":[29],"over":[30,56],"constrained.":[31],"In":[32],"this":[33,78],"contribution,":[34],"we":[35,50],"discuss":[36],"minimal":[38,79],"requirements":[39],"of":[40,94],"used":[44],"for":[45],"decoding":[48,68,92],"which":[49],"denote":[51],"Division":[53],"Near":[54,59],"Ring":[55],"a":[57,65,104],"Subtractive":[58],"Group.":[60],"To":[61],"verify":[62],"requirements,":[64],"general":[66],"Min-Max":[67],"algorithm":[69],"derived":[71],"incorporates":[73],"any":[74,109],"fulfilling":[77],"requirement":[80],"set.":[81],"shown":[84],"by":[86],"relaxing":[87],"mathematical":[89],"constraints,":[90],"performance":[93],"can":[98],"be":[99],"incrementally":[100],"improved":[101],"compared":[102],"to":[103],"Finite-Field-based":[105],"code":[107],"without":[108],"additional":[110],"hardware":[111],"cost.":[112]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}