{"id":"https://openalex.org/W3017380014","doi":"https://doi.org/10.1007/s00200-020-00427-x","title":"HELP: a sparse error locator polynomial for BCH codes","display_name":"HELP: a sparse error locator polynomial for BCH codes","publication_year":2020,"publication_date":"2020-04-18","ids":{"openalex":"https://openalex.org/W3017380014","doi":"https://doi.org/10.1007/s00200-020-00427-x","mag":"3017380014"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-020-00427-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00427-x","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2434/732191","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025473446","display_name":"Michela Ceria","orcid":"https://orcid.org/0000-0001-6059-9930"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Michela Ceria","raw_affiliation_strings":["Department of Computer Science, University of Milan, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6059-9930","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Milan, Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045315448","display_name":"Teo Mora","orcid":null},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Teo Mora","raw_affiliation_strings":["Department of Mathematics, University of Genoa, Genoa, Italy"],"raw_orcid":"https://orcid.org/0000-0001-8176-4368","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Genoa, Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054322256","display_name":"Massimiliano Sala","orcid":"https://orcid.org/0000-0002-7266-5146"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Massimiliano Sala","raw_affiliation_strings":["Department of Mathematics, University of Trento, Trento, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7266-5146","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025473446"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6771,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76052721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"3-4","first_page":"215","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9988999962806702,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"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/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.8196072578430176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.683956503868103},{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.6810865998268127},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.6689925789833069},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6421237587928772},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6164401173591614},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.5275561213493347},{"id":"https://openalex.org/keywords/reciprocal-polynomial","display_name":"Reciprocal polynomial","score":0.49880552291870117},{"id":"https://openalex.org/keywords/quotient-ring","display_name":"Quotient ring","score":0.48852479457855225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46143269538879395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4441510736942291},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.4021162688732147},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3982316255569458},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34280937910079956},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2523379921913147},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16516095399856567}],"concepts":[{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.8196072578430176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.683956503868103},{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.6810865998268127},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.6689925789833069},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6421237587928772},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6164401173591614},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.5275561213493347},{"id":"https://openalex.org/C97395012","wikidata":"https://www.wikidata.org/wiki/Q1422356","display_name":"Reciprocal polynomial","level":4,"score":0.49880552291870117},{"id":"https://openalex.org/C19787925","wikidata":"https://www.wikidata.org/wiki/Q619436","display_name":"Quotient ring","level":4,"score":0.48852479457855225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46143269538879395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4441510736942291},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.4021162688732147},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3982316255569458},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34280937910079956},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2523379921913147},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16516095399856567},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00200-020-00427-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00427-x","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"},{"id":"pmh:oai:air.unimi.it:2434/732191","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/732191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unitn.it:11572/297585","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/297585","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.unimi.it:2434/732191","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/732191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W178467256","https://openalex.org/W609793669","https://openalex.org/W1537824340","https://openalex.org/W1559343931","https://openalex.org/W1594652978","https://openalex.org/W1967589453","https://openalex.org/W1970425741","https://openalex.org/W1986275363","https://openalex.org/W2000492750","https://openalex.org/W2002966902","https://openalex.org/W2011693299","https://openalex.org/W2015821533","https://openalex.org/W2022980402","https://openalex.org/W2034436218","https://openalex.org/W2049417491","https://openalex.org/W2057105460","https://openalex.org/W2076007689","https://openalex.org/W2089946313","https://openalex.org/W2092211333","https://openalex.org/W2124222151","https://openalex.org/W2130478067","https://openalex.org/W2144253890","https://openalex.org/W2152727604","https://openalex.org/W2171613506","https://openalex.org/W2485296172","https://openalex.org/W2499840931","https://openalex.org/W2581943294","https://openalex.org/W2767133026","https://openalex.org/W2900359373","https://openalex.org/W2963871335","https://openalex.org/W3104801964","https://openalex.org/W3135266083","https://openalex.org/W4240280907","https://openalex.org/W4242435587","https://openalex.org/W4243969716","https://openalex.org/W4250745668"],"related_works":["https://openalex.org/W2554910979","https://openalex.org/W1964170686","https://openalex.org/W2172045778","https://openalex.org/W148891984","https://openalex.org/W103050704","https://openalex.org/W2618850167","https://openalex.org/W2963675094","https://openalex.org/W1579688034","https://openalex.org/W3017380014","https://openalex.org/W2057932566"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}