{"id":"https://openalex.org/W1978283454","doi":"https://doi.org/10.1109/ita.2010.5454149","title":"Quasi-cyclic LDPC codes on Latin squares and the ranks of their parity-check matrices","display_name":"Quasi-cyclic LDPC codes on Latin squares and the ranks of their parity-check matrices","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1978283454","doi":"https://doi.org/10.1109/ita.2010.5454149","mag":"1978283454"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2010.5454149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2010.5454149","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Information Theory and Applications Workshop (ITA)","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/A5100425498","display_name":"Li Zhang","orcid":"https://orcid.org/0000-0002-0586-9923"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Li Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013594198","display_name":"Qin Huang","orcid":"https://orcid.org/0000-0003-1621-6984"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qin Huang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100772114","display_name":"Shu Lin","orcid":"https://orcid.org/0000-0003-1401-7834"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shu Lin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102938606","display_name":"Khaled Abdel-Ghaffar","orcid":"https://orcid.org/0000-0002-3128-0557"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Abdel-Ghaffar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis; CA 95616 USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053705979","display_name":"Ian F. Blake","orcid":"https://orcid.org/0000-0001-9660-1449"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ian F. Blake","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC, Canada","Department of Electrical and Computer Engineering, University of British Columbia Vancouver, BC V6T 1Z4, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of British Columbia Vancouver, BC V6T 1Z4, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100425498"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":1.4902,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82339381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"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":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":0.9983999729156494,"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":0.9979000091552734,"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":0.9227800369262695},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.622928261756897},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.6027916073799133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5784174799919128},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5577217936515808},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.5547168850898743},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.5068138241767883},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4853724241256714},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4839246869087219},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4740676283836365},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4472563564777374},{"id":"https://openalex.org/keywords/forward-error-correction","display_name":"Forward error correction","score":0.4386276304721832},{"id":"https://openalex.org/keywords/parity-bit","display_name":"Parity bit","score":0.41132861375808716},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4063985347747803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33118736743927},{"id":"https://openalex.org/keywords/error-floor","display_name":"Error floor","score":0.32728248834609985},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.134039968252182},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.11614412069320679},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0830523669719696}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.9227800369262695},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.622928261756897},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.6027916073799133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5784174799919128},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5577217936515808},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.5547168850898743},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.5068138241767883},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4853724241256714},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4839246869087219},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4740676283836365},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4472563564777374},{"id":"https://openalex.org/C202932441","wikidata":"https://www.wikidata.org/wiki/Q55611017","display_name":"Forward error correction","level":3,"score":0.4386276304721832},{"id":"https://openalex.org/C131521367","wikidata":"https://www.wikidata.org/wiki/Q625502","display_name":"Parity bit","level":2,"score":0.41132861375808716},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4063985347747803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33118736743927},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.32728248834609985},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.134039968252182},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.11614412069320679},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0830523669719696}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ita.2010.5454149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2010.5454149","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.409.1074","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.1074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ita.ucsd.edu/workshop/10/files/paper/paper_1847.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W91120061","https://openalex.org/W628021441","https://openalex.org/W1524896264","https://openalex.org/W1534925464","https://openalex.org/W1569612250","https://openalex.org/W1964402820","https://openalex.org/W2111433054","https://openalex.org/W2113420173","https://openalex.org/W2114869758","https://openalex.org/W2115166533","https://openalex.org/W2119990840","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2135764410","https://openalex.org/W2138998946","https://openalex.org/W2147776616","https://openalex.org/W2156938362","https://openalex.org/W2164601298","https://openalex.org/W2610857016","https://openalex.org/W2895239415","https://openalex.org/W4239889878","https://openalex.org/W4256264271","https://openalex.org/W4256648168","https://openalex.org/W6613554288","https://openalex.org/W6631498780","https://openalex.org/W6632090173","https://openalex.org/W6721177609"],"related_works":["https://openalex.org/W2511749850","https://openalex.org/W2116479807","https://openalex.org/W2977752192","https://openalex.org/W4254106939","https://openalex.org/W2209506458","https://openalex.org/W2149057203","https://openalex.org/W1983975287","https://openalex.org/W2410688423","https://openalex.org/W2962944074","https://openalex.org/W2165413015"],"abstract_inverted_index":{"Quasi-cyclic":[0],"codes":[1,10,40,74],"are":[2,62],"the":[3,52,72,79,82],"most":[4],"promising":[5],"class":[6],"of":[7,15,55],"structured":[8],"LDPC":[9,39],"due":[11],"to":[12],"their":[13,60],"ease":[14],"implementation":[16],"and":[17,81],"excellent":[18],"performance":[19],"over":[20,45,78],"noisy":[21],"channels":[22],"when":[23],"decoded":[24],"with":[25,68],"message-passing":[26],"algorithms":[27],"as":[28],"extensive":[29],"simulation":[30],"studies":[31],"have":[32],"shown.":[33],"An":[34],"approach":[35],"for":[36,59],"constructing":[37],"quasi-cyclic":[38],"based":[41],"on":[42],"Latin":[43],"squares":[44],"finite":[46],"fields":[47],"is":[48],"presented.":[49],"By":[50],"analyzing":[51],"parity-check":[53],"matrices":[54],"these":[56],"codes,":[57],"expressions":[58],"ranks":[61],"derived.":[63],"Experimental":[64],"results":[65],"show":[66],"that,":[67],"iterative":[69],"decoding":[70],"algorithms,":[71],"constructed":[73],"perform":[75],"very":[76],"well":[77],"AWGN":[80],"binary":[83],"erasure":[84],"channels.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}