{"id":"https://openalex.org/W2024074584","doi":"https://doi.org/10.1109/cig.2010.5592767","title":"Structured LDPC codes from permutation matrices free of small trapping sets","display_name":"Structured LDPC codes from permutation matrices free of small trapping sets","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2024074584","doi":"https://doi.org/10.1109/cig.2010.5592767","mag":"2024074584"},"language":"en","primary_location":{"id":"doi:10.1109/cig.2010.5592767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592767","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","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/A5101751146","display_name":"Dung Viet Nguyen","orcid":"https://orcid.org/0000-0002-8927-2832"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dung Viet Nguyen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040676835","display_name":"Bane Vasi\u0107","orcid":"https://orcid.org/0000-0003-2365-4106"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bane Vasic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045608934","display_name":"Michael W. Marcellin","orcid":"https://orcid.org/0000-0001-9606-134X"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]},{"id":"https://openalex.org/I4210154351","display_name":"Marvell (United States)","ror":"https://ror.org/04wmff902","country_code":"US","type":"company","lineage":["https://openalex.org/I4210092679","https://openalex.org/I4210154351"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Marcellin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","Marvell Semiconductor Inc, Santa Clara, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Arizona Tucson, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Marvell Semiconductor Inc, Santa Clara, CA","institution_ids":["https://openalex.org/I4210154351"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043061449","display_name":"Shashi Kiran Chilappagari","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154351","display_name":"Marvell (United States)","ror":"https://ror.org/04wmff902","country_code":"US","type":"company","lineage":["https://openalex.org/I4210092679","https://openalex.org/I4210154351"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shashi Kiran Chilappagari","raw_affiliation_strings":["Marvell Semiconductor Inc, Santa Clara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Marvell Semiconductor Inc, Santa Clara, CA, USA","institution_ids":["https://openalex.org/I4210154351"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101751146"],"corresponding_institution_ids":["https://openalex.org/I138006243"],"apc_list":null,"apc_paid":null,"fwci":6.4102,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.96868666,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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":0.9988999962806702,"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":0.9987000226974487,"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":0.8720625042915344},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.8472068309783936},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5392900705337524},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.5183414220809937},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5147740840911865},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5052798390388489},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.5041576623916626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5016229152679443},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.47827136516571045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4591808021068573},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4562377631664276},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4527296721935272},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4276205599308014},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.414553701877594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.398475706577301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3393802046775818},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.15865889191627502},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08412039279937744},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.06711652874946594}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8720625042915344},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.8472068309783936},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5392900705337524},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.5183414220809937},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5147740840911865},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5052798390388489},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.5041576623916626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5016229152679443},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.47827136516571045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4591808021068573},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4562377631664276},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4527296721935272},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4276205599308014},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.414553701877594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.398475706577301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3393802046775818},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.15865889191627502},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08412039279937744},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.06711652874946594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cig.2010.5592767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592767","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W152471750","https://openalex.org/W1484692004","https://openalex.org/W1628419508","https://openalex.org/W1964402820","https://openalex.org/W2107621627","https://openalex.org/W2107804146","https://openalex.org/W2113420173","https://openalex.org/W2114869758","https://openalex.org/W2119990840","https://openalex.org/W2125250903","https://openalex.org/W2128765501","https://openalex.org/W2129124246","https://openalex.org/W2132161120","https://openalex.org/W2140953380","https://openalex.org/W2143965786","https://openalex.org/W2148981492","https://openalex.org/W2152474312","https://openalex.org/W2167291955","https://openalex.org/W2553702736","https://openalex.org/W4205545339","https://openalex.org/W4285719527","https://openalex.org/W4300188436","https://openalex.org/W6606175091","https://openalex.org/W6628810906"],"related_works":["https://openalex.org/W4298029419","https://openalex.org/W2127041286","https://openalex.org/W2950575774","https://openalex.org/W2024074584","https://openalex.org/W2975293994","https://openalex.org/W2073843305","https://openalex.org/W2040618267","https://openalex.org/W2359694158","https://openalex.org/W2562729718","https://openalex.org/W1749271097"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,30],"class":[4],"of":[5,17,56],"structured":[6],"low-density":[7],"parity-check":[8],"(LDPC)":[9],"codes":[10,58,63],"whose":[11],"parity":[12],"check":[13],"matrices":[14,22],"are":[15,23,38,64],"arrays":[16],"permutation":[18,21],"matrices.":[19],"The":[20,54],"obtained":[24],"from":[25],"Latin":[26],"squares":[27],"and":[28],"form":[29],"finite":[31],"field":[32],"under":[33],"some":[34],"matrix":[35],"operations.":[36],"They":[37],"chosen":[39],"so":[40],"that":[41],"the":[42,62,67,72,84],"Tanner":[43],"graphs":[44],"do":[45],"not":[46],"contain":[47],"subgraphs":[48],"harmful":[49],"to":[50],"iterative":[51],"decoding":[52],"algorithms.":[53],"construction":[55],"column-weight-three":[57],"is":[59,80],"presented.":[60],"Although":[61],"optimized":[65],"for":[66],"Gallager":[68],"A/B":[69],"algorithm":[70],"over":[71],"binary":[73],"symmetric":[74],"channel":[75,89],"(BSC),":[76],"their":[77],"error":[78],"performance":[79],"very":[81],"good":[82],"on":[83],"additive":[85],"white":[86],"Gaussian":[87],"noise":[88],"(AWGNC)":[90],"as":[91],"well.":[92]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
