{"id":"https://openalex.org/W2159608595","doi":"https://doi.org/10.1109/isit.2011.6034147","title":"A transform approach for computing the ranks of parity-check matrices of quasi-cyclic LDPC codes","display_name":"A transform approach for computing the ranks of parity-check matrices of quasi-cyclic LDPC codes","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2159608595","doi":"https://doi.org/10.1109/isit.2011.6034147","mag":"2159608595"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2011.6034147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6034147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Information Theory Proceedings","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/A5081377969","display_name":"Qiuju Diao","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiuju Diao","raw_affiliation_strings":["State Key Laboratory of Integrated Service Networks, Xidian University, Xian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Service Networks, Xidian University, Xian, China","institution_ids":["https://openalex.org/I149594827"]}]},{"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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, 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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8285,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87020762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"366","last_page":"370"},"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":0.9987000226974487,"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":0.9958000183105469,"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":0.9080469608306885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5998525619506836},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.5585520267486572},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.49508562684059143},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4935508966445923},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4586079716682434},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4335481524467468},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.41877883672714233},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.41392451524734497},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4118937849998474},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.34291142225265503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32381677627563477}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.9080469608306885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5998525619506836},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.5585520267486572},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.49508562684059143},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4935508966445923},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4586079716682434},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4335481524467468},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.41877883672714233},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.41392451524734497},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4118937849998474},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.34291142225265503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32381677627563477},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2011.6034147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6034147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320308204","display_name":"Northrop Grumman","ror":"https://ror.org/05kewds18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W152471750","https://openalex.org/W628021441","https://openalex.org/W1593683169","https://openalex.org/W1594652978","https://openalex.org/W1973712217","https://openalex.org/W2026580688","https://openalex.org/W2069159122","https://openalex.org/W2076597612","https://openalex.org/W2081471788","https://openalex.org/W2099727759","https://openalex.org/W2107621627","https://openalex.org/W2109419341","https://openalex.org/W2113420173","https://openalex.org/W2114223390","https://openalex.org/W2115166533","https://openalex.org/W2119281626","https://openalex.org/W2123673731","https://openalex.org/W2128765501","https://openalex.org/W2132105090","https://openalex.org/W2135764410","https://openalex.org/W2139645268","https://openalex.org/W2147776616","https://openalex.org/W2153976062","https://openalex.org/W2159201958","https://openalex.org/W2164164623","https://openalex.org/W2164601298","https://openalex.org/W2895239415","https://openalex.org/W3175367423","https://openalex.org/W4234162184","https://openalex.org/W4243833160","https://openalex.org/W4256264271","https://openalex.org/W4285719527","https://openalex.org/W6606175091","https://openalex.org/W6657175873"],"related_works":["https://openalex.org/W2139745099","https://openalex.org/W2015101254","https://openalex.org/W2132566027","https://openalex.org/W1782566311","https://openalex.org/W2127950068","https://openalex.org/W1968988046","https://openalex.org/W2373473769","https://openalex.org/W2126450554","https://openalex.org/W2169710030","https://openalex.org/W2126543779"],"abstract_inverted_index":{"Several":[0],"classes":[1,95],"of":[2,33,58,61,72,83,96],"quasi-cyclic":[3,62,97],"LDPC":[4,98],"codes":[5,44,63,74,99],"have":[6,15],"been":[7],"proposed":[8],"in":[9,90,102],"the":[10,34,56,70,73,84,103],"literature":[11],"and":[12,29],"shown":[13,54],"to":[14],"excellent":[16],"performance":[17],"over":[18],"noisy":[19],"channels":[20],"when":[21],"decoded":[22],"with":[23],"iterative":[24],"message-passing":[25],"algorithms.":[26],"However,":[27],"by":[28],"large,":[30],"important":[31],"properties":[32],"codes,":[35],"including":[36],"their":[37],"dimensions,":[38],"are":[39],"only":[40],"given":[41,89],"for":[42,92],"specific":[43],"based":[45],"on":[46],"computer":[47],"programming.":[48],"Using":[49],"Fourier":[50],"transforms,":[51],"it":[52],"is":[53,88],"that":[55],"ranks":[57],"parity-check":[59],"matrices":[60],"can":[64,75],"be":[65,76],"computed.":[66],"From":[67],"these":[68],"ranks,":[69],"dimensions":[71],"determined.":[77],"The":[78],"approach,":[79],"which":[80,100],"unifies":[81],"most":[82],"known":[85],"algebraic":[86],"constructions,":[87],"detail":[91],"three":[93],"large":[94],"appear":[101],"literature.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}