{"id":"https://openalex.org/W2772948422","doi":"https://doi.org/10.1109/tvlsi.2017.2775646","title":"Basic-Set Trellis Min\u2013Max Decoder Architecture for Nonbinary LDPC Codes With High-Order Galois Fields","display_name":"Basic-Set Trellis Min\u2013Max Decoder Architecture for Nonbinary LDPC Codes With High-Order Galois Fields","publication_year":2017,"publication_date":"2017-12-08","ids":{"openalex":"https://openalex.org/W2772948422","doi":"https://doi.org/10.1109/tvlsi.2017.2775646","mag":"2772948422"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2017.2775646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2017.2775646","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"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 Very Large Scale Integration (VLSI) Systems","raw_type":"journal-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/A5075894939","display_name":"Huyen Pham Thi","orcid":"https://orcid.org/0000-0001-7222-5071"},"institutions":[{"id":"https://openalex.org/I191879574","display_name":"Inha University","ror":"https://ror.org/01easw929","country_code":"KR","type":"education","lineage":["https://openalex.org/I191879574"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Huyen Pham Thi","raw_affiliation_strings":["Department of Information and Communication Engineering, Inha University, Incheon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Inha University, Incheon, South Korea","institution_ids":["https://openalex.org/I191879574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069498930","display_name":"Hanho Lee","orcid":"https://orcid.org/0000-0001-8815-1927"},"institutions":[{"id":"https://openalex.org/I191879574","display_name":"Inha University","ror":"https://ror.org/01easw929","country_code":"KR","type":"education","lineage":["https://openalex.org/I191879574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hanho Lee","raw_affiliation_strings":["Department of Information and Communication Engineering, Inha University, Incheon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Inha University, Incheon, South Korea","institution_ids":["https://openalex.org/I191879574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075894939"],"corresponding_institution_ids":["https://openalex.org/I191879574"],"apc_list":null,"apc_paid":null,"fwci":2.9008,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.92407752,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"3","first_page":"496","last_page":"507"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9980999827384949,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.8594509363174438},{"id":"https://openalex.org/keywords/trellis","display_name":"Trellis (graph)","score":0.8360870480537415},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.7139077186584473},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5549279451370239},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5284566283226013},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.45137256383895874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4308478534221649},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42284509539604187},{"id":"https://openalex.org/keywords/soft-decision-decoder","display_name":"Soft-decision decoder","score":0.41913729906082153},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.411682665348053},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.39038801193237305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36547595262527466},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19954034686088562},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18188223242759705},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07097381353378296}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8594509363174438},{"id":"https://openalex.org/C2781235587","wikidata":"https://www.wikidata.org/wiki/Q7838009","display_name":"Trellis (graph)","level":3,"score":0.8360870480537415},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.7139077186584473},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5549279451370239},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5284566283226013},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.45137256383895874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4308478534221649},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42284509539604187},{"id":"https://openalex.org/C185588885","wikidata":"https://www.wikidata.org/wiki/Q7553811","display_name":"Soft-decision decoder","level":3,"score":0.41913729906082153},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.411682665348053},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.39038801193237305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36547595262527466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19954034686088562},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18188223242759705},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07097381353378296},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2017.2775646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2017.2775646","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"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 Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G288155971","display_name":null,"funder_award_id":"2016R1A2B4015421","funder_id":"https://openalex.org/F4320322030","funder_display_name":"Ministry of Science, ICT and Future Planning"}],"funders":[{"id":"https://openalex.org/F4320322030","display_name":"Ministry of Science, ICT and Future Planning","ror":"https://ror.org/032e49973"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1484354944","https://openalex.org/W1538196023","https://openalex.org/W1966882038","https://openalex.org/W1970716416","https://openalex.org/W1982494612","https://openalex.org/W2025502939","https://openalex.org/W2027476964","https://openalex.org/W2036158324","https://openalex.org/W2046073577","https://openalex.org/W2056223797","https://openalex.org/W2067075157","https://openalex.org/W2079434468","https://openalex.org/W2080266722","https://openalex.org/W2102986410","https://openalex.org/W2104792210","https://openalex.org/W2109866575","https://openalex.org/W2130194865","https://openalex.org/W2143687662","https://openalex.org/W2156429183","https://openalex.org/W2158242694","https://openalex.org/W2162669326","https://openalex.org/W2173776306","https://openalex.org/W2337000483","https://openalex.org/W2343531432","https://openalex.org/W2576121484","https://openalex.org/W6683397792"],"related_works":["https://openalex.org/W4244085088","https://openalex.org/W2154078079","https://openalex.org/W406587413","https://openalex.org/W2064674583","https://openalex.org/W2343531432","https://openalex.org/W2353338231","https://openalex.org/W2035769530","https://openalex.org/W2141913236","https://openalex.org/W2077272551","https://openalex.org/W2889372359"],"abstract_inverted_index":{"Nonbinary":[0],"low-density":[1],"parity-check":[2],"(NB-LDPC)":[3],"codes":[4],"outperform":[5],"their":[6],"binary":[7],"counterparts":[8],"in":[9,98,135],"terms":[10],"of":[11,17,64],"error-correction":[12],"performance.":[13],"However,":[14],"the":[15,25,31,37,57,62,68,72,89,96,107,113,121,136,143,150,155,170],"drawback":[16],"NB-LDPC":[18,116,174],"decoders":[19,175],"is":[20,50,80,92],"high":[21],"complexity,":[22],"especially":[23],"for":[24,83,112,142,149],"check":[26,69],"node":[27,70,74],"unit":[28],"(CNU),":[29],"and":[30,71,120,131,140,145,147,165],"complexity":[32,59,137],"increases":[33],"considerably":[34],"when":[35],"increasing":[36],"Galois-field":[38],"(GF)":[39],"order.":[40],"In":[41,87],"this":[42],"paper,":[43],"a":[44,99,133,159],"novel":[45],"basic-set":[46],"trellis":[47],"min-max":[48],"algorithm":[49,109],"proposed":[51,90,108,156],"to":[52,94],"greatly":[53],"reduce":[54],"not":[55],"only":[56],"CNU":[58,91],"but":[60],"also":[61],"number":[63],"messages":[65,97],"exchanged":[66],"between":[67],"variable":[73],"compared":[75,168],"with":[76,169,176],"previous":[77],"studies,":[78],"which":[79],"highly":[81],"efficient":[82],"higher":[84,160],"order":[85],"GFs.":[86,178],"addition,":[88],"designed":[93],"compute":[95],"parallel":[100],"way.":[101],"Layered":[102],"decoder":[103,157],"architectures":[104],"based":[105],"on":[106],"were":[110],"implemented":[111],"(837,":[114],"726)":[115],"code":[117,124],"over":[118,125],"GF(32)":[119],"(1512,":[122],"1323)":[123],"GF(64)":[126],"using":[127],"90-nm":[128],"CMOS":[129],"technology,":[130],"obtained":[132],"reduction":[134],"by":[138],"30%":[139],"37%":[141],"CNU,":[144],"40%":[146],"37.4%":[148],"whole":[151],"decoder,":[152],"respectively.":[153],"Moreover,":[154],"achieves":[158],"throughput":[161],"at":[162],"1.67":[163],"Gbit/s":[164,167],"1.4":[166],"other":[171],"state-of-the-art":[172],"high-rate":[173],"high-order":[177]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
