{"id":"https://openalex.org/W2559877734","doi":"https://doi.org/10.1109/tvlsi.2016.2630055","title":"Low-Complexity Transformed Encoder Architectures for Quasi-Cyclic Nonbinary LDPC Codes Over Subfields","display_name":"Low-Complexity Transformed Encoder Architectures for Quasi-Cyclic Nonbinary LDPC Codes Over Subfields","publication_year":2016,"publication_date":"2016-12-09","ids":{"openalex":"https://openalex.org/W2559877734","doi":"https://doi.org/10.1109/tvlsi.2016.2630055","mag":"2559877734"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2016.2630055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2016.2630055","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/A5063673084","display_name":"Xinmiao Zhang","orcid":"https://orcid.org/0000-0002-8289-2377"},"institutions":[{"id":"https://openalex.org/I4210121352","display_name":"Western Digital (United States)","ror":"https://ror.org/02hqwnx33","country_code":"US","type":"company","lineage":["https://openalex.org/I4210121352"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xinmiao Zhang","raw_affiliation_strings":["Western Digital Corporation, San Jose, CA, USA"],"affiliations":[{"raw_affiliation_string":"Western Digital Corporation, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210121352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029021362","display_name":"Ying Tai","orcid":"https://orcid.org/0000-0002-4665-6852"},"institutions":[{"id":"https://openalex.org/I4210121352","display_name":"Western Digital (United States)","ror":"https://ror.org/02hqwnx33","country_code":"US","type":"company","lineage":["https://openalex.org/I4210121352"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Tai","raw_affiliation_strings":["Western Digital Corporation, San Jose, CA, USA"],"affiliations":[{"raw_affiliation_string":"Western Digital Corporation, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210121352"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063673084"],"corresponding_institution_ids":["https://openalex.org/I4210121352"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.15965448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"25","issue":"4","first_page":"1342","last_page":"1351"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9991000294685364,"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":0.9965000152587891,"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/encoder","display_name":"Encoder","score":0.7161788940429688},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6841846704483032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.572761058807373},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43099284172058105},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3376837372779846},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3315459191799164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31695038080215454},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.27731144428253174}],"concepts":[{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.7161788940429688},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6841846704483032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.572761058807373},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43099284172058105},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3376837372779846},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3315459191799164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31695038080215454},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.27731144428253174},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2016.2630055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2016.2630055","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W15859887","https://openalex.org/W2036158324","https://openalex.org/W2056223797","https://openalex.org/W2096687994","https://openalex.org/W2102986410","https://openalex.org/W2147776616","https://openalex.org/W2164828669","https://openalex.org/W2266568706","https://openalex.org/W2341503187","https://openalex.org/W2406612315","https://openalex.org/W2605173350","https://openalex.org/W6684247169"],"related_works":["https://openalex.org/W2903058006","https://openalex.org/W2102374550","https://openalex.org/W2047069332","https://openalex.org/W2352157218","https://openalex.org/W4213381250","https://openalex.org/W2806845321","https://openalex.org/W4293418541","https://openalex.org/W2393084694","https://openalex.org/W2336709242","https://openalex.org/W4318215366"],"abstract_inverted_index":{"Quasi-cyclic":[0],"low-density":[1],"parity-check":[2],"(QC-LDPC)":[3],"codes":[4,18,56,130],"are":[5,60,73,131,142],"adopted":[6],"in":[7,152],"many":[8],"digital":[9],"communication":[10],"and":[11,70,99,127,147,170],"storage":[12],"systems.":[13],"The":[14],"encoding":[15],"of":[16,32,48,61,75,111,125,137,174,188,190],"these":[17],"is":[19,108,160],"traditionally":[20],"done":[21],"by":[22],"multiplying":[23],"the":[24,38,71,164,172,209,218,223],"message":[25,168],"vector":[26],"with":[27,167,200,217],"a":[28,109,122,132,178],"generator":[29,185],"matrix":[30,186],"consisting":[31],"dense":[33],"circulant":[34,58],"submatrices.":[35],"To":[36],"reduce":[37,171],"encoder":[39],"complexity,":[40],"this":[41,153],"paper":[42],"introduces":[43],"two":[44],"schemes":[45],"making":[46],"use":[47,136],"finite":[49,145],"Fourier":[50,146,175],"transform.":[51,176],"We":[52],"focus":[53],"on":[54],"QC-LDPC":[55,182],"whose":[57,184],"submatrices":[59],"dimension":[62,191],"<inline-formula":[63,77,85,92,102,113,192,202],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[64,78,86,93,103,114,193,203],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[65,79,87,94,104,115,194,204],"<tex-math":[66,80,88,95,105,116,195,205],"notation=\"LaTeX\">$(2^{r}-1)\\times":[67],"(2^{r}-1)$":[68],"</tex-math></inline-formula>":[69,82,90,97,107,118,199,207],"entries":[72],"elements":[74],"GF":[76,101,112,201],"notation=\"LaTeX\">$(2^{p})$":[81,106],",":[83,98],"where":[84],"notation=\"LaTeX\">$p$":[89],"divides":[91],"notation=\"LaTeX\">$r$":[96],"hence,":[100],"subfield":[110],"notation=\"LaTeX\">$(2^{r})$":[117],".":[119],"These":[120],"cover":[121],"broad":[123],"range":[124],"codes,":[126],"binary":[128],"LDPC":[129],"special":[133],"case.":[134],"Making":[135],"conjugacy":[138],"constraints,":[139],"low-complexity":[140],"architectures":[141],"developed":[143],"for":[144],"inverse":[148],"transforms":[149],"over":[150],"subfields":[151],"paper.":[154],"In":[155],"addition,":[156],"composite":[157],"field":[158],"arithmetic":[159],"exploited":[161],"to":[162],"eliminate":[163],"computations":[165],"associated":[166],"mapping":[169],"complexity":[173],"For":[177],"(2016,":[179],"1074)":[180],"nonbinary":[181],"code":[183],"consists":[187],"circulants":[189],"notation=\"LaTeX\">$63":[196],"\\times":[197],"63$":[198],"notation=\"LaTeX\">$(2^{2})$":[206],"entries,":[208],"proposed":[210],"encoders":[211,220],"achieve":[212],"22%":[213],"area":[214],"reduction":[215],"compared":[216],"conventional":[219],"without":[221],"sacrificing":[222],"throughput.":[224]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
