{"id":"https://openalex.org/W1984189807","doi":"https://doi.org/10.1109/lcomm.2015.2477812","title":"On the Minimum Distance of Full-Length RS-LDPC Codes","display_name":"On the Minimum Distance of Full-Length RS-LDPC Codes","publication_year":2015,"publication_date":"2015-09-11","ids":{"openalex":"https://openalex.org/W1984189807","doi":"https://doi.org/10.1109/lcomm.2015.2477812","mag":"1984189807"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2015.2477812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2015.2477812","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications 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/A5100422467","display_name":"Haiyang Liu","orcid":"https://orcid.org/0000-0001-6567-8603"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210119392","display_name":"Institute of Microelectronics","ror":"https://ror.org/02s6gs133","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119392"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haiyang Liu","raw_affiliation_strings":["Institute of Microelectronics, Chinese Academy of Sciences, Beijing, China","Inst. of Microelectron., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Microelectronics, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210119392","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Inst. of Microelectron., Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003333304","display_name":"Lianrong Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianrong Ma","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing, China","[Dept. of Math. Sci., Tsinghua Univ., Beijing, China]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Dept. of Math. Sci., Tsinghua Univ., Beijing, China]","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100422467"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210119392"],"apc_list":null,"apc_paid":null,"fwci":0.3328,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64584799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"19","issue":"11","first_page":"1869","last_page":"1872"},"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":0.998199999332428,"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":0.9980999827384949,"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":0.8211320638656616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7298412322998047},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6611515879631042},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5809200406074524},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.5668052434921265},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5439188480377197},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5369271039962769},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5203416347503662},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.480490118265152},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.42557913064956665},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.32802748680114746},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.27300071716308594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19384923577308655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13006556034088135}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8211320638656616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7298412322998047},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6611515879631042},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5809200406074524},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.5668052434921265},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5439188480377197},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5369271039962769},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5203416347503662},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.480490118265152},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.42557913064956665},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.32802748680114746},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.27300071716308594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19384923577308655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13006556034088135},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2015.2477812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2015.2477812","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5639889551","display_name":null,"funder_award_id":"61201265","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8423901489","display_name":null,"funder_award_id":"61376027","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W51177791","https://openalex.org/W161902538","https://openalex.org/W1498552305","https://openalex.org/W2080478503","https://openalex.org/W2108588236","https://openalex.org/W2116815462","https://openalex.org/W2126259959","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2148726777","https://openalex.org/W2163890247","https://openalex.org/W2169732368","https://openalex.org/W2169811229","https://openalex.org/W2294286584","https://openalex.org/W2911265074","https://openalex.org/W4211147273","https://openalex.org/W4300188436","https://openalex.org/W6629673210"],"related_works":["https://openalex.org/W1650655882","https://openalex.org/W2126543779","https://openalex.org/W2169811229","https://openalex.org/W1482743218","https://openalex.org/W2167124952","https://openalex.org/W2011293233","https://openalex.org/W2169710030","https://openalex.org/W2065071381","https://openalex.org/W4388717827","https://openalex.org/W2124450281"],"abstract_inverted_index":{"Let":[0],"q":[1,10,20,66],"be":[2],"a":[3,35,43],"power":[4],"of":[5,17,58,80,90,108],"2":[6,117],"and":[7,47,67,98,100,118],"y":[8,68,94],"\u2264":[9],"an":[11,71],"integer.":[12],"Based":[13],"on":[14,74,105],"the":[15,28,55,77,88,102,106],"codewords":[16,110],"[q,":[18],"2,":[19,96],"-":[21],"1]":[22],"extended":[23],"Reed-Solomon":[24],"(RS)":[25],"code":[26,46],"over":[27],"finite":[29],"field":[30],"Fq,":[31],"we":[32,86],"can":[33],"construct":[34],"(\u03b3,":[36],"q)-regular":[37],"low-density":[38],"parity-check":[39],"(LDPC)":[40],"code,":[41],"called":[42],"full-length":[44],"RS-LDPC":[45],"denoted":[48],"by":[49],"C(\u03b3,":[50,81,112],"q).":[51],"In":[52],"this":[53],"letter,":[54],"minimum":[56,78],"distance":[57,79],"these":[59],"codes":[60],"is":[61,83],"investigated.":[62],"For":[63],"any":[64],"given":[65],"<;":[69],"q,":[70],"upper":[72],"bound":[73],"d(C(\u03b3,":[75,91],"q)),":[76],"q),":[82],"provided.":[84],"Furthermore,":[85],"determine":[87],"values":[89],"q))":[92],"for":[93,114],"=":[95,116],"3,":[97],"4,":[99],"present":[101],"closed-form":[103],"expressions":[104],"numbers":[107],"minimum-weight":[109],"in":[111],"q)":[113],"\u03b3":[115],"3.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}