{"id":"https://openalex.org/W3198215848","doi":"https://doi.org/10.1007/s10623-021-00917-0","title":"On $$\\mathbb {Z}_2\\mathbb {Z}_4$$-additive polycyclic codes and their Gray images","display_name":"On $$\\mathbb {Z}_2\\mathbb {Z}_4$$-additive polycyclic codes and their Gray images","publication_year":2021,"publication_date":"2021-08-27","ids":{"openalex":"https://openalex.org/W3198215848","doi":"https://doi.org/10.1007/s10623-021-00917-0","mag":"3198215848"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-021-00917-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-021-00917-0","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/A5072352158","display_name":"Rongsheng Wu","orcid":"https://orcid.org/0000-0002-2361-5126"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rongsheng Wu","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, P.R. China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044196416","display_name":"Minjia Shi","orcid":"https://orcid.org/0000-0002-4990-6271"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minjia Shi","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, P.R. China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072352158"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8388,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78869557,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"90","issue":"11","first_page":"2551","last_page":"2562"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9887999892234802,"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":0.9821000099182129,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.72893226146698},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.595406174659729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5092631578445435},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.4836219847202301},{"id":"https://openalex.org/keywords/monic-polynomial","display_name":"Monic polynomial","score":0.45545002818107605},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.45373740792274475},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.413338840007782},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36588937044143677},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30939018726348877},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.28110700845718384},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.2508835792541504},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.13705682754516602},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10974955558776855},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.10707977414131165},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09364908933639526}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.72893226146698},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.595406174659729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5092631578445435},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4836219847202301},{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.45545002818107605},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.45373740792274475},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.413338840007782},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36588937044143677},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30939018726348877},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.28110700845718384},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.2508835792541504},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.13705682754516602},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10974955558776855},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.10707977414131165},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09364908933639526},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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:10.1007/s10623-021-00917-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-021-00917-0","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/G2276077514","display_name":null,"funder_award_id":"2008085QA04","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G2683730091","display_name":null,"funder_award_id":"61672036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G390214299","display_name":null,"funder_award_id":"12071001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G425838796","display_name":null,"funder_award_id":"gxbjZD03","funder_id":"https://openalex.org/F4320329831","funder_display_name":"Academic Fund for Outstanding Talents in Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329831","display_name":"Academic Fund for Outstanding Talents in Universities","ror":null},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1589201941","https://openalex.org/W1604526698","https://openalex.org/W1882412879","https://openalex.org/W1952591304","https://openalex.org/W1973174922","https://openalex.org/W1973810401","https://openalex.org/W1976190134","https://openalex.org/W1976677460","https://openalex.org/W1996543537","https://openalex.org/W1999121308","https://openalex.org/W2004879985","https://openalex.org/W2010238614","https://openalex.org/W2026316191","https://openalex.org/W2038681062","https://openalex.org/W2045545810","https://openalex.org/W2064759901","https://openalex.org/W2087942494","https://openalex.org/W2117013900","https://openalex.org/W2118912475","https://openalex.org/W2121513675","https://openalex.org/W2130681859","https://openalex.org/W2364698296","https://openalex.org/W2521253085","https://openalex.org/W2548869068","https://openalex.org/W2553479372","https://openalex.org/W2553686366","https://openalex.org/W2724738380","https://openalex.org/W2889940767","https://openalex.org/W2910479782","https://openalex.org/W2953676339","https://openalex.org/W2962911905","https://openalex.org/W2963976753","https://openalex.org/W2968529102","https://openalex.org/W2969725247","https://openalex.org/W2971708712","https://openalex.org/W2989839514","https://openalex.org/W2996490643","https://openalex.org/W3000294532","https://openalex.org/W3091222318","https://openalex.org/W3103404807","https://openalex.org/W3106364761","https://openalex.org/W3108402870","https://openalex.org/W4234345682","https://openalex.org/W6603989641"],"related_works":["https://openalex.org/W4288411188","https://openalex.org/W2925128600","https://openalex.org/W3012495467","https://openalex.org/W3001002862","https://openalex.org/W3202696647","https://openalex.org/W4296465811","https://openalex.org/W4287777029","https://openalex.org/W2062604976","https://openalex.org/W4307519946","https://openalex.org/W1983534678"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}