{"id":"https://openalex.org/W4245700689","doi":"https://doi.org/10.1007/s002000200094","title":"Graded Codes","display_name":"Graded Codes","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W4245700689","doi":"https://doi.org/10.1007/s002000200094"},"language":"en","primary_location":{"id":"doi:10.1007/s002000200094","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000200094","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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":null,"display_name":"Justo Peralta","orcid":null},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Justo Peralta","raw_affiliation_strings":["Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , , , , , ES","Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , ES"],"affiliations":[{"raw_affiliation_string":"Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , , , , , ES","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , ES","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087490338","display_name":"B. Torrecillas","orcid":"https://orcid.org/0000-0002-0992-9911"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Blas Torrecillas","raw_affiliation_strings":["Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , , , , , ES","Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , ES"],"affiliations":[{"raw_affiliation_string":"Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , , , , , ES","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Department of Algebra and Analysis, University of Almer\u00eda, 04120 Almer\u00eda, Spain (e-mail: {jperalta, btorreci}@ual.es), , ES","institution_ids":["https://openalex.org/I52354020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I52354020"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.43953785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"2","first_page":"107","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9962999820709229,"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":0.9962999820709229,"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":0.9708999991416931,"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/T10849","display_name":"Finite Group Theory Research","score":0.9180999994277954,"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/mathematics","display_name":"Mathematics","score":0.7134279012680054},{"id":"https://openalex.org/keywords/multiplicative-group","display_name":"Multiplicative group","score":0.6938350796699524},{"id":"https://openalex.org/keywords/group-ring","display_name":"Group ring","score":0.591992974281311},{"id":"https://openalex.org/keywords/graded-ring","display_name":"Graded ring","score":0.5550475716590881},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5407332181930542},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5194498896598816},{"id":"https://openalex.org/keywords/finite-group","display_name":"Finite group","score":0.5069847106933594},{"id":"https://openalex.org/keywords/group-code","display_name":"Group code","score":0.482211709022522},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.46771472692489624},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.46697378158569336},{"id":"https://openalex.org/keywords/group-algebra","display_name":"Group algebra","score":0.4296308159828186},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41997361183166504},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4187328815460205},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.4186159074306488},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41441044211387634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3797990679740906},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.323234885931015},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.30951595306396484},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11312267184257507}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7134279012680054},{"id":"https://openalex.org/C92788228","wikidata":"https://www.wikidata.org/wiki/Q3777923","display_name":"Multiplicative group","level":3,"score":0.6938350796699524},{"id":"https://openalex.org/C76572486","wikidata":"https://www.wikidata.org/wiki/Q2602722","display_name":"Group ring","level":3,"score":0.591992974281311},{"id":"https://openalex.org/C167239746","wikidata":"https://www.wikidata.org/wiki/Q15534632","display_name":"Graded ring","level":3,"score":0.5550475716590881},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5407332181930542},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5194498896598816},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.5069847106933594},{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.482211709022522},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.46771472692489624},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.46697378158569336},{"id":"https://openalex.org/C120047569","wikidata":"https://www.wikidata.org/wiki/Q92795049","display_name":"Group algebra","level":3,"score":0.4296308159828186},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41997361183166504},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4187328815460205},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.4186159074306488},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41441044211387634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3797990679740906},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.323234885931015},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.30951595306396484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11312267184257507},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002000200094","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000200094","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2099727759","https://openalex.org/W1998019059","https://openalex.org/W2138739584","https://openalex.org/W4254327554","https://openalex.org/W3143284529","https://openalex.org/W2791064415","https://openalex.org/W2129918046","https://openalex.org/W2951478437","https://openalex.org/W2092438142","https://openalex.org/W4245700689"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2022-05-12T00:00:00"}
