{"id":"https://openalex.org/W3135742264","doi":"https://doi.org/10.1142/s1793830921500920","title":"The weight distribution of some irreducible cyclic codes","display_name":"The weight distribution of some irreducible cyclic codes","publication_year":2021,"publication_date":"2021-02-24","ids":{"openalex":"https://openalex.org/W3135742264","doi":"https://doi.org/10.1142/s1793830921500920","mag":"3135742264"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500920","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500920","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5100356116","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-2167-4496"},"institutions":[{"id":"https://openalex.org/I110109458","display_name":"Tianjin University of Commerce","ror":"https://ror.org/02b6amy98","country_code":"CN","type":"education","lineage":["https://openalex.org/I110109458"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["College of Mathematics, Tianjin University of Commerce, Tianjin, 300134, China"],"raw_orcid":"https://orcid.org/0000-0003-2167-4496","affiliations":[{"raw_affiliation_string":"College of Mathematics, Tianjin University of Commerce, Tianjin, 300134, China","institution_ids":["https://openalex.org/I110109458"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013147220","display_name":"Yang Zhang","orcid":"https://orcid.org/0000-0001-9151-8486"},"institutions":[{"id":"https://openalex.org/I90090648","display_name":"Shijiazhuang Tiedao University","ror":"https://ror.org/022e9e065","country_code":"CN","type":"education","lineage":["https://openalex.org/I90090648"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Zhang","raw_affiliation_strings":["Department of Mathematics and Physics, Shijiazhuang Tiedao University Shijiazhuang, 050043, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Shijiazhuang Tiedao University Shijiazhuang, 050043, P. R. China","institution_ids":["https://openalex.org/I90090648"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075390385","display_name":"Zisen Kong","orcid":"https://orcid.org/0000-0002-0954-3330"},"institutions":[{"id":"https://openalex.org/I110109458","display_name":"Tianjin University of Commerce","ror":"https://ror.org/02b6amy98","country_code":"CN","type":"education","lineage":["https://openalex.org/I110109458"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zisen Kong","raw_affiliation_strings":["College of Mathematics, Tianjin University of Commerce, Tianjin, 300134, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Tianjin University of Commerce, Tianjin, 300134, China","institution_ids":["https://openalex.org/I110109458"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075390385"],"corresponding_institution_ids":["https://openalex.org/I110109458"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.03400105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T13779","display_name":"Cancer Mechanisms and Therapy","score":0.9358999729156494,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9120000004768372,"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/mathematics","display_name":"Mathematics","score":0.8857173323631287},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.6899408102035522},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6516993045806885},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5676580667495728},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5607615113258362},{"id":"https://openalex.org/keywords/irreducible-representation","display_name":"Irreducible representation","score":0.46512624621391296},{"id":"https://openalex.org/keywords/irreducible-element","display_name":"Irreducible element","score":0.44651806354522705},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3490614891052246},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2882152795791626},{"id":"https://openalex.org/keywords/weight","display_name":"Weight","score":0.11373117566108704},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06875872611999512},{"id":"https://openalex.org/keywords/fundamental-representation","display_name":"Fundamental representation","score":0.0677042305469513}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8857173323631287},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.6899408102035522},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6516993045806885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5676580667495728},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5607615113258362},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.46512624621391296},{"id":"https://openalex.org/C15376144","wikidata":"https://www.wikidata.org/wiki/Q2989575","display_name":"Irreducible element","level":5,"score":0.44651806354522705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3490614891052246},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2882152795791626},{"id":"https://openalex.org/C183877218","wikidata":"https://www.wikidata.org/wiki/Q7979858","display_name":"Weight","level":3,"score":0.11373117566108704},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06875872611999512},{"id":"https://openalex.org/C5106717","wikidata":"https://www.wikidata.org/wiki/Q3427416","display_name":"Fundamental representation","level":4,"score":0.0677042305469513},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500920","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500920","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3615373735","display_name":null,"funder_award_id":"11701140","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":6,"referenced_works":["https://openalex.org/W234588615","https://openalex.org/W1973986860","https://openalex.org/W2028984939","https://openalex.org/W2033038403","https://openalex.org/W2118120045","https://openalex.org/W2161127475"],"related_works":["https://openalex.org/W2101254281","https://openalex.org/W1971268067","https://openalex.org/W2091178456","https://openalex.org/W2518368129","https://openalex.org/W2083606850","https://openalex.org/W2091078729","https://openalex.org/W2055678929","https://openalex.org/W4388553933","https://openalex.org/W2025899147","https://openalex.org/W2023482040"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,7],"weight":[4],"distribution":[5],"of":[6],"irreducible":[8,33],"cyclic":[9,34],"codes":[10,35],"over":[11],"[Formula:":[12,17,22],"see":[13,18,23],"text]":[14,19,24],"with":[15],"length":[16],"and":[20],"dimension":[21],"is":[25],"settled":[26],"for":[27],"a":[28],"few":[29],"special":[30],"cases.":[31],"These":[32],"have":[36],"two":[37],"weights":[38,41],"or":[39,42],"three":[40],"four":[43],"weights.":[44]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
