{"id":"https://openalex.org/W1973312362","doi":"https://doi.org/10.1109/ita.2012.6181800","title":"A transform approach for constructing quasi-cyclic Euclidean geometry LDPC codes","display_name":"A transform approach for constructing quasi-cyclic Euclidean geometry LDPC codes","publication_year":2012,"publication_date":"2012-02-01","ids":{"openalex":"https://openalex.org/W1973312362","doi":"https://doi.org/10.1109/ita.2012.6181800","mag":"1973312362"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2012.6181800","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2012.6181800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Information Theory and Applications 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/A5081377969","display_name":"Qiuju Diao","orcid":null},"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":"Qiuju Diao","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","Dept. of Electrical and Computer Engineering, University of California, Davis 95616, 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"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of California, Davis 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101665888","display_name":"Wei Zhou","orcid":"https://orcid.org/0000-0002-3608-1047"},"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":"Wei Zhou","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","Dept. of Electrical and Computer Engineering, University of California, Davis 95616, 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"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of California, Davis 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101248860","display_name":"Shu Lin","orcid":null},"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","Dept. of Electrical and Computer Engineering, University of California, Davis 95616, 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"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of California, Davis 95616, 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","Dept. of Electrical and Computer Engineering, University of California, Davis 95616, 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"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of California, Davis 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":0.7455,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72002882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"204","last_page":"211"},"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":0.9994999766349792,"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":0.996999979019165,"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/circulant-matrix","display_name":"Circulant matrix","score":0.8057819604873657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6502527594566345},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5164520740509033},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4834669232368469},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.46775174140930176},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.4369537830352783},{"id":"https://openalex.org/keywords/finite-geometry","display_name":"Finite geometry","score":0.4346136152744293},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.43141573667526245},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.42114561796188354},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.41992366313934326},{"id":"https://openalex.org/keywords/euclidean-distance-matrix","display_name":"Euclidean distance matrix","score":0.4147486090660095},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.41285815834999084},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40068021416664124},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3124579191207886},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2969406843185425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2854616045951843},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2295178771018982},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10112488269805908}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8057819604873657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6502527594566345},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5164520740509033},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4834669232368469},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.46775174140930176},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.4369537830352783},{"id":"https://openalex.org/C44139724","wikidata":"https://www.wikidata.org/wiki/Q1077896","display_name":"Finite geometry","level":4,"score":0.4346136152744293},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.43141573667526245},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.42114561796188354},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.41992366313934326},{"id":"https://openalex.org/C171558263","wikidata":"https://www.wikidata.org/wiki/Q5406122","display_name":"Euclidean distance matrix","level":3,"score":0.4147486090660095},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.41285815834999084},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40068021416664124},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3124579191207886},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2969406843185425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2854616045951843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2295178771018982},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10112488269805908},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ita.2012.6181800","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2012.6181800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Information Theory and Applications 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":27,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1484692004","https://openalex.org/W1534925464","https://openalex.org/W1593683169","https://openalex.org/W1969813053","https://openalex.org/W1990436563","https://openalex.org/W1997785613","https://openalex.org/W2001732758","https://openalex.org/W2081471788","https://openalex.org/W2109419341","https://openalex.org/W2113420173","https://openalex.org/W2114869758","https://openalex.org/W2125117492","https://openalex.org/W2125816513","https://openalex.org/W2138404167","https://openalex.org/W2139645268","https://openalex.org/W2147776616","https://openalex.org/W2159608595","https://openalex.org/W2164164623","https://openalex.org/W2164601298","https://openalex.org/W2610857016","https://openalex.org/W2895239415","https://openalex.org/W4239889878","https://openalex.org/W4285719527","https://openalex.org/W6628810906","https://openalex.org/W6642974764","https://openalex.org/W6649574883"],"related_works":["https://openalex.org/W2978816798","https://openalex.org/W2050328113","https://openalex.org/W2385258248","https://openalex.org/W2394357315","https://openalex.org/W2042258047","https://openalex.org/W2160911892","https://openalex.org/W2088931738","https://openalex.org/W2319920772","https://openalex.org/W2205099803","https://openalex.org/W2540115800"],"abstract_inverted_index":{"A":[0],"method":[1],"for":[2],"constructing":[3],"quasi-cyclic":[4],"Euclidean":[5,19],"geometry":[6,20],"(QC-EG)":[7],"LDPC":[8],"codes":[9],"in":[10,30,54,78],"the":[11,31,39],"Fourier":[12,32,41],"transform":[13,33],"domain":[14,34],"is":[15],"presented.":[16],"Given":[17],"a":[18,22,72,79],"over":[21],"finite":[23],"field":[24],"of":[25,43,57,67,74],"characteristic":[26],"2,":[27],"base":[28,45],"matrices":[29,60],"are":[35],"first":[36],"constructed.":[37],"Then":[38],"inverse":[40],"transforms":[42],"these":[44,68],"matrices,":[46],"combined":[47],"with":[48,95],"row":[49],"and":[50,86],"column":[51],"permutations,":[52],"result":[53],"low-density":[55,69],"arrays":[56,70],"circulant":[58],"permutation":[59],"and/or":[61],"zero":[62],"matrices.":[63],"The":[64],"null":[65],"spaces":[66],"give":[71],"family":[73],"QC-EG-LDPC":[75],"codes.":[76],"Codes":[77],"special":[80],"subclass":[81],"have":[82],"large":[83],"minimum":[84,100],"distances":[85],"their":[87,99],"Tanner":[88],"graphs":[89],"contain":[90],"no":[91],"harmful":[92],"trapping":[93],"sets":[94],"sizes":[96],"smaller":[97],"than":[98],"distances.":[101]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}