{"id":"https://openalex.org/W3194962036","doi":"https://doi.org/10.1007/s10623-021-00914-3","title":"Weight distribution of double cyclic codes over Galois rings","display_name":"Weight distribution of double cyclic codes over Galois rings","publication_year":2021,"publication_date":"2021-08-21","ids":{"openalex":"https://openalex.org/W3194962036","doi":"https://doi.org/10.1007/s10623-021-00914-3","mag":"3194962036"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-021-00914-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-021-00914-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5089933098","display_name":"Jian Gao","orcid":"https://orcid.org/0000-0002-7307-2828"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Gao","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062292480","display_name":"Xiangrui Meng","orcid":"https://orcid.org/0000-0002-2628-9960"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangrui Meng","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063946169","display_name":"Fang\u2010Wei Fu","orcid":"https://orcid.org/0000-0002-9696-8977"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-Wei Fu","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, Tianjin, China","Tianjin Key Laboratory of Network and Data Security Technology, Nankai University, Tianjin, 300071, China"],"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Tianjin, China","institution_ids":[]},{"raw_affiliation_string":"Tianjin Key Laboratory of Network and Data Security Technology, Nankai University, Tianjin, 300071, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089933098"],"corresponding_institution_ids":["https://openalex.org/I119203015"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2599,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.83868712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"90","issue":"11","first_page":"2529","last_page":"2549"},"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/T13779","display_name":"Cancer Mechanisms and Therapy","score":0.933899998664856,"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/T10849","display_name":"Finite Group Theory Research","score":0.9230999946594238,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.6896090507507324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6772447228431702},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5122811198234558},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.4909127354621887},{"id":"https://openalex.org/keywords/normal-basis","display_name":"Normal basis","score":0.4884292185306549},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3701111376285553},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.3683866262435913},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35788196325302124},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1680496633052826},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12366297841072083}],"concepts":[{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.6896090507507324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6772447228431702},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5122811198234558},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.4909127354621887},{"id":"https://openalex.org/C205567592","wikidata":"https://www.wikidata.org/wiki/Q3527199","display_name":"Normal basis","level":3,"score":0.4884292185306549},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3701111376285553},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.3683866262435913},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35788196325302124},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1680496633052826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12366297841072083},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-021-00914-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-021-00914-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2495926565","display_name":null,"funder_award_id":"11671235","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G259194202","display_name":null,"funder_award_id":"12071264","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3339693920","display_name":null,"funder_award_id":"11626144","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4015711035","display_name":null,"funder_award_id":"61971243","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4681469634","display_name":null,"funder_award_id":"11701336","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":17,"referenced_works":["https://openalex.org/W597381772","https://openalex.org/W2056890992","https://openalex.org/W2092829911","https://openalex.org/W2105694437","https://openalex.org/W2160607895","https://openalex.org/W2510277633","https://openalex.org/W2585050175","https://openalex.org/W2760271426","https://openalex.org/W2799391498","https://openalex.org/W2925248089","https://openalex.org/W2962763807","https://openalex.org/W2972071912","https://openalex.org/W3008545444","https://openalex.org/W3022588892","https://openalex.org/W3094874060","https://openalex.org/W3108402870","https://openalex.org/W3143500475"],"related_works":["https://openalex.org/W2024260996","https://openalex.org/W2016474650","https://openalex.org/W1521634862","https://openalex.org/W3191613123","https://openalex.org/W762576794","https://openalex.org/W2189024741","https://openalex.org/W2134807673","https://openalex.org/W2963723225","https://openalex.org/W2391986797","https://openalex.org/W4236770967"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}