{"id":"https://openalex.org/W2964307412","doi":"https://doi.org/10.1109/tit.2017.2685501","title":"LDPC Codes Based on the Space of Symmetric Matrices Over Finite Fields","display_name":"LDPC Codes Based on the Space of Symmetric Matrices Over Finite Fields","publication_year":2017,"publication_date":"2017-03-28","ids":{"openalex":"https://openalex.org/W2964307412","doi":"https://doi.org/10.1109/tit.2017.2685501","mag":"2964307412"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2685501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2685501","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5077659274","display_name":"Changli Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changli Ma","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei Normal University, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Hebei, China","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063335569","display_name":"Qi Wang","orcid":"https://orcid.org/0000-0001-9780-5443"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Wang","raw_affiliation_strings":["Department of Computer Science and Engineering, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111986258","display_name":"Meng Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhao","raw_affiliation_strings":["Department of Mathematics, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-9780-5443","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1956,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67477261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"63","issue":"7","first_page":"4332","last_page":"4343"},"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":0.9983000159263611,"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":0.9980000257492065,"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":0.7632284164428711},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6836369037628174},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.661894679069519},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6314957737922668},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5403151512145996},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5195429921150208},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.49464675784111023},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4140552282333374},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3849690556526184},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2554989457130432},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15755295753479004},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13980519771575928}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.7632284164428711},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6836369037628174},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.661894679069519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6314957737922668},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5403151512145996},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5195429921150208},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.49464675784111023},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4140552282333374},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3849690556526184},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2554989457130432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15755295753479004},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13980519771575928},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2685501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2685501","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2516456528","display_name":null,"funder_award_id":"61672015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4158236110","display_name":"\u6709\u9650\u51e0\u4f55\u7684\u4e00\u4e9b\u7ec4\u5408\u7ed3\u6784\u5728\u7ebf\u6027\u7801\u7406\u8bba\u4e2d\u7684\u5e94\u7528\u7814\u7a76","funder_award_id":"11271004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G874588624","display_name":"\u6df7\u5408\u6b63\u4ea4\u9635\u5217\u53ca\u76f8\u5173\u95ee\u9898\u7814\u7a76","funder_award_id":"11371121","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8927666299","display_name":null,"funder_award_id":"11601220","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1964402820","https://openalex.org/W2099140878","https://openalex.org/W2111433054","https://openalex.org/W2114869758","https://openalex.org/W2126823864","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2133945375","https://openalex.org/W2145244895","https://openalex.org/W2148726777","https://openalex.org/W2150972708","https://openalex.org/W2156938362","https://openalex.org/W2293691695","https://openalex.org/W2489246076","https://openalex.org/W2532468848","https://openalex.org/W2809548040","https://openalex.org/W4229826396","https://openalex.org/W6992342663"],"related_works":["https://openalex.org/W2903058006","https://openalex.org/W2102374550","https://openalex.org/W2047069332","https://openalex.org/W2352157218","https://openalex.org/W4213381250","https://openalex.org/W2806845321","https://openalex.org/W2094360276","https://openalex.org/W2410874278","https://openalex.org/W1596740698","https://openalex.org/W4300617464"],"abstract_inverted_index":{"In":[0],"this":[1,30],"paper,":[2],"we":[3,32,87],"present":[4],"a":[5],"new":[6],"method":[7],"for":[8,84,96,105],"explicitly":[9],"constructing":[10],"regular":[11],"low-density":[12],"parity-check":[13],"(LDPC)":[14],"codes":[15],"based":[16],"on":[17],"Sn(Fq),":[18],"the":[19,54,58,70,74,89,93],"space":[20],"of":[21,36,47,61,77],"n":[22,24],"\u00d7":[23],"symmetric":[25],"matrices":[26],"over":[27],"Fq.":[28],"Using":[29],"method,":[31],"obtain":[33,101],"two":[34],"classes":[35],"binary":[37],"LDPC":[38],"codes,":[39],"C(n,":[40,85],"q)":[41,79],"and":[42,57,73,92,100],"CT":[43],"(n,":[44],"q),":[45,86],"both":[46,53,81],"which":[48],"have":[49],"grith":[50],"8.":[51],"Then,":[52],"minimum":[55,71,90],"distance":[56,60,72,76,91,95],"stopping":[59,75,94],"each":[62],"class":[63],"are":[64,80],"investigated.":[65],"It":[66],"is":[67],"shown":[68],"that":[69],"CT(n,":[78],"2q.":[82],"As":[83],"determine":[88],"some":[97,102],"special":[98],"cases":[99],"lower":[103],"bounds":[104],"other":[106],"cases.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}