{"id":"https://openalex.org/W4319302639","doi":"https://doi.org/10.1109/tit.2023.3242612","title":"Improved Error Bounds for the Distance Distribution of Reed-Solomon Codes","display_name":"Improved Error Bounds for the Distance Distribution of Reed-Solomon Codes","publication_year":2023,"publication_date":"2023-02-06","ids":{"openalex":"https://openalex.org/W4319302639","doi":"https://doi.org/10.1109/tit.2023.3242612"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3242612","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2023.3242612","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/A5102714122","display_name":"Zhicheng Gao","orcid":"https://orcid.org/0000-0001-6488-8721"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhicheng Gao","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, Canada"],"raw_orcid":"https://orcid.org/0000-0001-6488-8721","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015798048","display_name":"Jiyou Li","orcid":"https://orcid.org/0000-0002-9360-0157"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiyou Li","raw_affiliation_strings":["School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-9360-0157","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3173,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59610243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"69","issue":"6","first_page":"3590","last_page":"3596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9972000122070312,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.8586229085922241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.737520158290863},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6080712080001831},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.5675097107887268},{"id":"https://openalex.org/keywords/factorial","display_name":"Factorial","score":0.5553179383277893},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.478779673576355},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4630264341831207},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4403839409351349},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43070662021636963},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.4298156797885895},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.410366952419281},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3513871431350708},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3249583840370178},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3222476840019226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2748579978942871},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08829787373542786}],"concepts":[{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.8586229085922241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.737520158290863},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6080712080001831},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.5675097107887268},{"id":"https://openalex.org/C183763347","wikidata":"https://www.wikidata.org/wiki/Q120976","display_name":"Factorial","level":2,"score":0.5553179383277893},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.478779673576355},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4630264341831207},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4403839409351349},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43070662021636963},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.4298156797885895},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.410366952419281},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3513871431350708},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3249583840370178},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3222476840019226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2748579978942871},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08829787373542786},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3242612","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2023.3242612","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/G3452697306","display_name":null,"funder_award_id":"12031011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8377584638","display_name":null,"funder_award_id":"2022YFA1004900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W107280146","https://openalex.org/W186403072","https://openalex.org/W1565759886","https://openalex.org/W1984159148","https://openalex.org/W2042824544","https://openalex.org/W2046947513","https://openalex.org/W2053340927","https://openalex.org/W2057886417","https://openalex.org/W2103236224","https://openalex.org/W2174870427","https://openalex.org/W2345387074","https://openalex.org/W2563545890","https://openalex.org/W2966372995","https://openalex.org/W3202696647"],"related_works":["https://openalex.org/W3088883112","https://openalex.org/W3021758908","https://openalex.org/W2293846540","https://openalex.org/W3085073875","https://openalex.org/W1976052006","https://openalex.org/W1798117689","https://openalex.org/W2041319252","https://openalex.org/W2183278822","https://openalex.org/W3048227751","https://openalex.org/W2060062708"],"abstract_inverted_index":{"We":[0,21],"use":[1],"the":[2,11,15,27,44,69],"generating":[3],"function":[4],"approach":[5],"to":[6,65],"derive":[7],"simple":[8],"expressions":[9],"for":[10,26],"factorial":[12],"moments":[13],"of":[14,30,46,59,71,74],"distance":[16],"distribution":[17],"over":[18,48],"Reed-Solomon":[19,75],"codes.":[20,76],"obtain":[22],"better":[23],"upper":[24],"bounds":[25],"error":[28],"term":[29],"a":[31,56],"counting":[32],"formula":[33],"given":[34,57],"by":[35],"Li":[36],"and":[37,55],"Wan,":[38],"which":[39],"gives":[40],"nontrivial":[41],"estimates":[42],"on":[43,68],"number":[45,58],"polynomials":[47],"finite":[49],"fields":[50],"with":[51],"prescribed":[52],"leading":[53],"coefficients":[54],"linear":[60],"factors.":[61],"This":[62],"improvement":[63],"leads":[64],"new":[66],"results":[67],"classification":[70],"deep":[72],"holes":[73]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}