{"id":"https://openalex.org/W2000823462","doi":"https://doi.org/10.3934/amc.2014.8.271","title":"On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric","display_name":"On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2000823462","doi":"https://doi.org/10.3934/amc.2014.8.271","mag":"2000823462"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.3934/amc.2014.8.271","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5075822892","display_name":"Daniele Bartoli","orcid":"https://orcid.org/0000-0002-5767-1679"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"funder","lineage":["https://openalex.org/I32597200"]},{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"funder","lineage":["https://openalex.org/I27483092"]}],"countries":["BE","IT"],"is_corresponding":true,"raw_author_name":"Daniele Bartoli","raw_affiliation_strings":["Department of Mathematics Ghent University Krijgslaan 281, 9000 Ghent, Belgium","Dipartimento di Matematica ed Informatica, Universit\u00e0 degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy and Department of Mathematics,","Ghent University, Krijgslaan 281, 9000 Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Ghent University, Krijgslaan 281, 9000 Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Dipartimento di Matematica ed Informatica, Universit\u00e0 degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy and Department of Mathematics,","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"Department of Mathematics Ghent University Krijgslaan 281, 9000 Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061433215","display_name":"Leo Storme","orcid":"https://orcid.org/0000-0001-6440-9225"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"funder","lineage":["https://openalex.org/I32597200"]},{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"funder","lineage":["https://openalex.org/I27483092"]}],"countries":["BE","IT"],"is_corresponding":false,"raw_author_name":"Leo Storme","raw_affiliation_strings":["Department of Mathematics Ghent University Krijgslaan 281, 9000 Ghent, Belgium","Dipartimento di Matematica ed Informatica, Universit\u00e0 degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy and Department of Mathematics,","Ghent University, Krijgslaan 281, 9000 Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Ghent University, Krijgslaan 281, 9000 Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Dipartimento di Matematica ed Informatica, Universit\u00e0 degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy and Department of Mathematics,","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"Department of Mathematics Ghent University Krijgslaan 281, 9000 Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075822892"],"corresponding_institution_ids":["https://openalex.org/I32597200","https://openalex.org/I27483092"],"apc_list":null,"apc_paid":null,"fwci":0.662,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":3,"citation_normalized_percentile":{"value":0.712967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":76,"max":79},"biblio":{"volume":"8","issue":"3","first_page":"271","last_page":"280"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998,"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":0.9998,"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":0.9925,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9919,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/quadric","display_name":"Quadric","score":0.9226954},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.66729}],"concepts":[{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.9226954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.91554284},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.7899272},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.66729},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.58586216},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49091178},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43503034},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41519037},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17082924},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.3934/amc.2014.8.271","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":8,"referenced_works":["https://openalex.org/W131567207","https://openalex.org/W2014868211","https://openalex.org/W2022841156","https://openalex.org/W2069892528","https://openalex.org/W2082861357","https://openalex.org/W2087023355","https://openalex.org/W2595228535","https://openalex.org/W604735231"],"related_works":["https://openalex.org/W4300723539","https://openalex.org/W3017621005","https://openalex.org/W2950567443","https://openalex.org/W2949451435","https://openalex.org/W2384882317","https://openalex.org/W2327777938","https://openalex.org/W2116952306","https://openalex.org/W2077036309","https://openalex.org/W2037264771","https://openalex.org/W1660957572"],"abstract_inverted_index":{"We":[0],"discuss":[1],"the":[2,17,38,43,46],"functional":[3,23,27,39],"codes":[4,28,40],"$C_h(\\mathcal{Q}_N)$,":[5],"for":[6,12],"small":[7,50],"$h\\geq":[8],"3$,":[9],"$q>9$,":[10],"and":[11,32],"$N\\geq":[13],"6$.":[14],"This":[15],"continues":[16],"study":[18],"of":[19,22,45,49],"different":[20],"classes":[21],"codes,":[24],"performed":[25],"on":[26],"arising":[29,41],"from":[30,42],"quadrics":[31],"Hermitian":[33],"varieties.":[34],"Here,":[35],"we":[36],"consider":[37],"intersections":[44],"algebraic":[47],"hypersurfaces":[48],"degree":[51],"$h$":[52],"with":[53],"a":[54],"given":[55],"non-singular":[56],"quadric":[57],"$\\mathcal{Q}_N$":[58],"in":[59],"PG$(N,q)$.":[60]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2000823462","counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-02-16T23:14:40.987997","created_date":"2016-06-24"}