{"id":"https://openalex.org/W2085220484","doi":"https://doi.org/10.1109/tit.1984.1056879","title":"Modular curves and codes with a polynomial construction","display_name":"Modular curves and codes with a polynomial construction","publication_year":1984,"publication_date":"1984-03-01","ids":{"openalex":"https://openalex.org/W2085220484","doi":"https://doi.org/10.1109/tit.1984.1056879","mag":"2085220484"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1984.1056879","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1984.1056879","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/A5064463110","display_name":"G. Katsman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Katsman","raw_affiliation_strings":["Institute of Control, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control, Russian Academy of Science, Moscow, Russia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017786798","display_name":"M. A. Tsfasman","orcid":"https://orcid.org/0000-0001-9321-9236"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Tsfasman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111457882","display_name":"Serge Vl\u0103du\u0163","orcid":null},"institutions":[{"id":"https://openalex.org/I2802368776","display_name":"Central Economics and Mathematics Institute","ror":"https://ror.org/02n937p61","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2802368776","https://openalex.org/I4210120228"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. Vladut","raw_affiliation_strings":["Economics Mathematical Institute, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Economics Mathematical Institute, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I2802368776"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9255,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.94498121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"30","issue":"2","first_page":"353","last_page":"355"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9767000079154968,"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"}},{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9763000011444092,"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/binary-number","display_name":"Binary number","score":0.5930227041244507},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5753554701805115},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5516694784164429},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46056681871414185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43960073590278625},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38642263412475586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36178943514823914},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16337424516677856},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1427694857120514}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5930227041244507},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5753554701805115},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5516694784164429},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46056681871414185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43960073590278625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38642263412475586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36178943514823914},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16337424516677856},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1427694857120514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1984.1056879","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1984.1056879","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W15967873","https://openalex.org/W329009470","https://openalex.org/W1606480398","https://openalex.org/W2003177806","https://openalex.org/W4243965692","https://openalex.org/W6600658134"],"related_works":["https://openalex.org/W2378076731","https://openalex.org/W4286888643","https://openalex.org/W3210795196","https://openalex.org/W2088988140","https://openalex.org/W2803103875","https://openalex.org/W2103019253","https://openalex.org/W2951529875","https://openalex.org/W2391453316","https://openalex.org/W2297768894","https://openalex.org/W1988064119"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"studyq-ary":[4],"codes":[5,13,19,36,50],"arising":[6],"from":[7],"modular":[8],"curvesX_{0}(11l)over":[9],"GF(p^{2})and":[10],"some":[11],"binary":[12,49],"attached":[14],"to":[15],"them.":[16],"All":[17],"these":[18],"have":[20,25],"a":[21],"polynomial":[22],"construction":[23],"and":[24,47],"\"good\"":[26],"asymptotic":[27],"parameters:":[28],"for":[29],"certain":[30],"values":[31],"of":[32],"the":[33,44,48,54],"parameters":[34],"theq-ary":[35],"withq":[37],"=":[38],"p^{2}":[39],"\\geq":[40],"49are":[41],"better":[42,52],"than":[43,53],"Varshamov-Gilbert":[45],"bound,":[46],"are":[51],"Ziablov":[55],"bounds.":[56]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}