{"id":"https://openalex.org/W2111707265","doi":"https://doi.org/10.1109/lsp.2009.2016830","title":"Large Girth Non-Binary LDPC Codes Based on Finite Fields and Euclidean Geometries","display_name":"Large Girth Non-Binary LDPC Codes Based on Finite Fields and Euclidean Geometries","publication_year":2009,"publication_date":"2009-04-24","ids":{"openalex":"https://openalex.org/W2111707265","doi":"https://doi.org/10.1109/lsp.2009.2016830","mag":"2111707265"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2009.2016830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2009.2016830","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5061105504","display_name":"Xueqin Jiang","orcid":"https://orcid.org/0000-0002-0414-4349"},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Xueqin Jiang","raw_affiliation_strings":["Institute of Information and Communication, Chonbuk National University of Korea, Cheongju, South Korea","Inst. of Inf. & Commun., Chonbuk Nat. Univ., Chonju"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information and Communication, Chonbuk National University of Korea, Cheongju, South Korea","institution_ids":["https://openalex.org/I80611190"]},{"raw_affiliation_string":"Inst. of Inf. & Commun., Chonbuk Nat. Univ., Chonju","institution_ids":["https://openalex.org/I80611190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113661810","display_name":"Moon Ho Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Moon Ho Lee","raw_affiliation_strings":["Institute of Information and Communication, Chonbuk National University of Korea, Cheongju, South Korea","Inst. of Inf. & Commun., Chonbuk Nat. Univ., Chonju"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information and Communication, Chonbuk National University of Korea, Cheongju, South Korea","institution_ids":["https://openalex.org/I80611190"]},{"raw_affiliation_string":"Inst. of Inf. & Commun., Chonbuk Nat. Univ., Chonju","institution_ids":["https://openalex.org/I80611190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I80611190"],"apc_list":null,"apc_paid":null,"fwci":2.8498,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91276764,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"6","first_page":"521","last_page":"524"},"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":0.9988999962806702,"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":0.9955000281333923,"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":0.8255453705787659},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.757048487663269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6627199649810791},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6402113437652588},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5395687222480774},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5053179860115051},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5017514228820801},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.4970534145832062},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49298402667045593},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.46754732728004456},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.46615609526634216},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.45816710591316223},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.45589709281921387},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4508509337902069},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44507962465286255},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.41241738200187683},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3300689458847046},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.20652857422828674},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17575928568840027}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8255453705787659},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.757048487663269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6627199649810791},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6402113437652588},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5395687222480774},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5053179860115051},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5017514228820801},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.4970534145832062},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49298402667045593},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.46754732728004456},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.46615609526634216},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.45816710591316223},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.45589709281921387},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4508509337902069},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44507962465286255},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.41241738200187683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3300689458847046},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.20652857422828674},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17575928568840027},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/lsp.2009.2016830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2009.2016830","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1484354944","https://openalex.org/W1534925464","https://openalex.org/W1973712217","https://openalex.org/W1981352990","https://openalex.org/W1991688006","https://openalex.org/W2111779646","https://openalex.org/W2114223390","https://openalex.org/W2114869758","https://openalex.org/W2135764410","https://openalex.org/W2145244895","https://openalex.org/W2150972708","https://openalex.org/W2173776306","https://openalex.org/W4239889878"],"related_works":["https://openalex.org/W2978816798","https://openalex.org/W2050328113","https://openalex.org/W2385258248","https://openalex.org/W2394357315","https://openalex.org/W2075057209","https://openalex.org/W2042258047","https://openalex.org/W2088931738","https://openalex.org/W2319920772","https://openalex.org/W2205099803","https://openalex.org/W2167256320"],"abstract_inverted_index":{"This":[0],"letter":[1],"presents":[2],"an":[3],"approach":[4],"to":[5],"the":[6,43],"construction":[7],"of":[8,22,45],"non-binary":[9],"low-density":[10],"parity-check":[11],"(LDPC)":[12],"codes":[13,55],"based":[14,64],"on":[15],"alpha-multiplied":[16],"circulant":[17],"permutation":[18],"matrices":[19],"and":[20,37],"hyperplanes":[21],"two":[23],"different":[24],"dimensions":[25],"in":[26],"Euclidean":[27],"geometries.":[28],"Codes":[29],"constructed":[30],"by":[31],"this":[32],"method":[33],"have":[34],"large":[35],"girth":[36],"high":[38],"binary":[39],"column":[40],"weight":[41],"when":[42],"order":[44],"Galois":[46],"field":[47],"is":[48],"high.":[49],"Simulation":[50],"results":[51],"show":[52],"that":[53],"these":[54],"perform":[56],"very":[57],"well":[58],"with":[59],"fast":[60],"Fourier":[61],"transform":[62],"(FFT)":[63],"sum-product":[65],"algorithm":[66],"(SPA).":[67]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}