{"id":"https://openalex.org/W4312659204","doi":"https://doi.org/10.1109/tit.2022.3211543","title":"A Tight Upper Bound for the Maximal Length of MDS Elliptic Codes","display_name":"A Tight Upper Bound for the Maximal Length of MDS Elliptic Codes","publication_year":2022,"publication_date":"2022-10-03","ids":{"openalex":"https://openalex.org/W4312659204","doi":"https://doi.org/10.1109/tit.2022.3211543"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3211543","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3211543","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/A5084547874","display_name":"Dongchun Han","orcid":"https://orcid.org/0000-0002-5591-4817"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongchun Han","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-5591-4817","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yuan Ren","orcid":"https://orcid.org/0000-0001-8564-5569"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Ren","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-8564-5569","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2486,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.83437752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"69","issue":"2","first_page":"819","last_page":"822"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9750000238418579,"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/T14281","display_name":"Islamic Finance and Communication","score":0.9505000114440918,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7362543344497681},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.713223934173584},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6449480056762695},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6234267950057983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5411940813064575},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5113288760185242},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.47080671787261963},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4413793087005615},{"id":"https://openalex.org/keywords/number-theory","display_name":"Number theory","score":0.41881459951400757},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18185457587242126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12008023262023926}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7362543344497681},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.713223934173584},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6449480056762695},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6234267950057983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5411940813064575},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5113288760185242},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.47080671787261963},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4413793087005615},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.41881459951400757},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18185457587242126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12008023262023926}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3211543","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3211543","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/G2612002491","display_name":null,"funder_award_id":"2682020ZT101","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4503148698","display_name":"\u9ad8\u975e\u7ebf\u6027\u51fd\u6570\u53ca\u5176\u76f8\u5173\u7ec4\u5408\u5bf9\u8c61\u4e0e\u7f16\u7801\u7814\u7a76","funder_award_id":"11971395","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4773004494","display_name":null,"funder_award_id":"2022NSFSC1856","funder_id":"https://openalex.org/F4320329861","funder_display_name":"Natural Science Foundation of Sichuan Province"},{"id":"https://openalex.org/G6328393359","display_name":null,"funder_award_id":"12231015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7053500756","display_name":null,"funder_award_id":"12001390","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8135877981","display_name":null,"funder_award_id":"12171398","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"},{"id":"https://openalex.org/F4320329861","display_name":"Natural Science Foundation of Sichuan Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W604735231","https://openalex.org/W1415576118","https://openalex.org/W1540674163","https://openalex.org/W1545876477","https://openalex.org/W1557415002","https://openalex.org/W1606480398","https://openalex.org/W1967316826","https://openalex.org/W1972788639","https://openalex.org/W2011538932","https://openalex.org/W2028369791","https://openalex.org/W2041788275","https://openalex.org/W2054405828","https://openalex.org/W2077690938","https://openalex.org/W2088561919","https://openalex.org/W2167461394","https://openalex.org/W2171265119","https://openalex.org/W2737717460","https://openalex.org/W2916786102","https://openalex.org/W2964304998","https://openalex.org/W2965242032","https://openalex.org/W3002053069","https://openalex.org/W3144798926","https://openalex.org/W4206829170","https://openalex.org/W4212959879","https://openalex.org/W4231878063","https://openalex.org/W4292027090","https://openalex.org/W4388288304"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1987679298","https://openalex.org/W2963177394","https://openalex.org/W4313359513","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W1965815883","https://openalex.org/W763418848"],"abstract_inverted_index":{"Determining":[0],"the":[1,31,86,95,110],"maximal":[2,32],"length":[3,33],"of":[4,21,34,63,78,88],"MDS":[5,35,120],"codes":[6,37],"with":[7,46],"certain":[8],"dimension":[9,47,64],"has":[10],"been":[11],"an":[12,27,75,82],"interesting":[13],"research":[14],"topic":[15],"in":[16,109],"coding":[17],"theory.":[18],"The":[19],"objective":[20],"this":[22],"paper":[23],"is":[24,99],"to":[25,85],"derive":[26],"upper":[28,97],"bound":[29,77,98],"for":[30,101],"elliptic":[36,121],"over":[38],"<inline-formula":[39,48,65,103],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40,49,66,104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[41,50,67,105],"<tex-math":[42,51,68,106],"notation=\"LaTeX\">$\\mathbb":[43],"{F}_{q}$":[44],"</tex-math></inline-formula>":[45,57,70,108],"notation=\"LaTeX\">$3\\leq":[52],"k\\leq":[53],"\\frac":[54],"{q+1-2\\sqrt":[55],"{q}}{10}$":[56],".":[58],"For":[59],"such":[60],"a":[61],"range":[62],"notation=\"LaTeX\">$k$":[69,107],",":[71],"our":[72],"result":[73],"improves":[74],"earlier":[76],"Munuera":[79],"and":[80,91],"gives":[81],"affirmative":[83],"solution":[84],"conjecture":[87],"Li,":[89],"Wan,":[90],"Zhang.":[92],"Most":[93],"notably,":[94],"proposed":[96],"tight":[100],"odd":[102],"sense":[111],"that":[112],"it":[113],"can":[114],"be":[115],"achieved":[116],"by":[117],"some":[118],"well-designed":[119],"codes.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}