{"id":"https://openalex.org/W1613696163","doi":"https://doi.org/10.1109/tsp.2015.2463258","title":"On the Encoding Complexity of Quasi-Cyclic LDPC Codes","display_name":"On the Encoding Complexity of Quasi-Cyclic LDPC Codes","publication_year":2015,"publication_date":"2015-07-31","ids":{"openalex":"https://openalex.org/W1613696163","doi":"https://doi.org/10.1109/tsp.2015.2463258","mag":"1613696163"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2015.2463258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2463258","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5016144967","display_name":"Ahmed Mahdi","orcid":"https://orcid.org/0000-0003-3547-6757"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Ahmed Mahdi","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Patras, Patras, Greece","VLSI Design Laboratory, Electrical and Computer Engineering Department, University of Patras, Patras, Greece"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"VLSI Design Laboratory, Electrical and Computer Engineering Department, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021252086","display_name":"Vassilis Paliouras","orcid":"https://orcid.org/0000-0002-1414-7500"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Vassilis Paliouras","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Patras, Patras, Greece","VLSI Design Laboratory, Electrical and Computer Engineering Department, University of Patras, Patras, Greece"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"VLSI Design Laboratory, Electrical and Computer Engineering Department, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016144967"],"corresponding_institution_ids":["https://openalex.org/I174878644"],"apc_list":null,"apc_paid":null,"fwci":1.3313,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.82506058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"22","first_page":"6096","last_page":"6108"},"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":0.9991000294685364,"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":0.9965999722480774,"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":0.8546950817108154},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5934541821479797},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5849934816360474},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.5755022764205933},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.5494115948677063},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.5122351050376892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49803590774536133},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4879154860973358},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4862164556980133},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.4574141204357147},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.445231556892395},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4251987040042877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40378451347351074},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39597007632255554}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8546950817108154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5934541821479797},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5849934816360474},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.5755022764205933},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5494115948677063},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.5122351050376892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49803590774536133},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4879154860973358},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4862164556980133},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.4574141204357147},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.445231556892395},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4251987040042877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40378451347351074},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39597007632255554},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/tsp.2015.2463258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2463258","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.5,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W241607337","https://openalex.org/W1968809050","https://openalex.org/W1973712217","https://openalex.org/W1981970082","https://openalex.org/W1988798860","https://openalex.org/W2042791697","https://openalex.org/W2051328411","https://openalex.org/W2061048205","https://openalex.org/W2062642782","https://openalex.org/W2069159122","https://openalex.org/W2070175323","https://openalex.org/W2111720680","https://openalex.org/W2114223390","https://openalex.org/W2119298271","https://openalex.org/W2123677459","https://openalex.org/W2125117492","https://openalex.org/W2126225729","https://openalex.org/W2126279474","https://openalex.org/W2128037788","https://openalex.org/W2128765501","https://openalex.org/W2130920659","https://openalex.org/W2139164285","https://openalex.org/W2140655888","https://openalex.org/W2147248053","https://openalex.org/W2147392818","https://openalex.org/W2147564076","https://openalex.org/W2159201958","https://openalex.org/W2164267613","https://openalex.org/W2171899200","https://openalex.org/W2535550790","https://openalex.org/W3142350051","https://openalex.org/W4243833160","https://openalex.org/W4256170753","https://openalex.org/W6609356243","https://openalex.org/W6661421265","https://openalex.org/W6678601685"],"related_works":["https://openalex.org/W2126543779","https://openalex.org/W2169710030","https://openalex.org/W2209506458","https://openalex.org/W792671342","https://openalex.org/W1533984353","https://openalex.org/W58580312","https://openalex.org/W2075640816","https://openalex.org/W2114921205","https://openalex.org/W2540115800","https://openalex.org/W2140479584"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,28,110,152],"parity":[6],"check":[7],"matrix":[8,43,73],"(PCM)":[9],"construction":[10,23],"technique":[11],"that":[12,52,115],"reduces":[13],"the":[14,38,53,65,68,77,82,101,105,122,128,133],"encoding":[15,47,56,137],"complexity":[16,54,103,134],"of":[17,31,40,55,67,81,97,104,116,127,135,144,154],"quasi-cyclic":[18],"(QC)-LDPC":[19],"codes.":[20],"The":[21],"proposed":[22,83,129],"method":[24,130],"is":[25,146,156],"based":[26],"on":[27],"constraint":[29],"selection":[30],"shifting":[32],"factors,":[33],"shown":[34],"here":[35],"to":[36,114],"reduce":[37],"density":[39,66],"an":[41,141],"inverted":[42,59,70],"used":[44],"in":[45,88,139],"several":[46,136],"algorithms.":[48],"Furthermore,":[49,125],"it":[50],"demonstrates":[51],"schemes":[57],"involving":[58],"matrices,":[60],"can":[61,131],"be":[62],"defined":[63],"by":[64,76],"small":[69],"binary":[71],"base":[72],"and":[74,91,109],"not":[75],"extended":[78],"QC-PCM.":[79],"Comparisons":[80],"codes":[84,86,96,119],"with":[85,92],"employed":[87],"international":[89],"standards":[90],"randomly":[93],"shifted":[94],"QC-LDPC":[95,149],"comparable":[98],"characteristics,":[99],"show":[100],"low":[102],"corresponding":[106],"hardware":[107],"implementations":[108],"BER":[111],"performance":[112],"equivalent":[113],"previously":[117],"reported":[118,147,157],"without":[120],"increasing":[121],"decoding":[123],"complexity.":[124],"adoption":[126],"decrease":[132],"procedures;":[138],"particular,":[140],"area":[142],"reduction":[143,153],"40%\u201355%":[145],"for":[148,158],"encoders,":[150],"while":[151],"86%":[155],"Multi-Level-QC-LDPC":[159],"encoders.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
