{"id":"https://openalex.org/W2014868211","doi":"https://doi.org/10.1007/s10623-010-9401-0","title":"The small weight codewords of the functional codes associated to non-singular Hermitian varieties","display_name":"The small weight codewords of the functional codes associated to non-singular Hermitian varieties","publication_year":2010,"publication_date":"2010-05-10","ids":{"openalex":"https://openalex.org/W2014868211","doi":"https://doi.org/10.1007/s10623-010-9401-0","mag":"2014868211"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-010-9401-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-010-9401-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9401-0.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9401-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002847663","display_name":"Fr\u00e9d\u00e9ric A. B. Edoukou","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"F. A. B. Edoukou","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, SPMS-04-01, 21 Nanyang Link, Singapore, 637371, Singapore","Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore , Singapore 637371#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, SPMS-04-01, 21 Nanyang Link, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore , Singapore 637371#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047385791","display_name":"Anja Hallez","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"A. Hallez","raw_affiliation_strings":["Department of Mathematics, Ghent University, Krijgslaan 281-S22, 9000, Ghent, Belgium","Department of Mathematics, Ghent University, Ghent, Belgium 9000#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ghent University, Krijgslaan 281-S22, 9000, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Mathematics, Ghent University, Ghent, Belgium 9000#TAB#","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111657153","display_name":"Fran\u00e7ois Rodier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Rodier","raw_affiliation_strings":["CNRS, Institut de Math\u00e9matiques de Luminy, Luminy case 907, 13288, Marseille cedex 9, France","CNRS, Institut de Math\u00e9matiques de Luminy, Marseille Cedex 9, France 13288#TAB#"],"affiliations":[{"raw_affiliation_string":"CNRS, Institut de Math\u00e9matiques de Luminy, Luminy case 907, 13288, Marseille cedex 9, France","institution_ids":["https://openalex.org/I4210138206","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Institut de Math\u00e9matiques de Luminy, Marseille Cedex 9, France 13288#TAB#","institution_ids":["https://openalex.org/I1294671590"]}]},{"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":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"L. Storme","raw_affiliation_strings":["Department of Mathematics, Ghent University, Krijgslaan 281-S22, 9000, Ghent, Belgium","Department of Mathematics, Ghent University, Ghent, Belgium 9000#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ghent University, Krijgslaan 281-S22, 9000, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Mathematics, Ghent University, Ghent, Belgium 9000#TAB#","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002847663"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4075,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84522435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"56","issue":"2-3","first_page":"219","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":0.9973999857902527,"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":0.9973999857902527,"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/T10849","display_name":"Finite Group Theory Research","score":0.979200005531311,"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"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/hermitian-matrix","display_name":"Hermitian matrix","score":0.8642369508743286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7510266900062561},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.7224950790405273},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.695013701915741},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5573931336402893},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5070407390594482},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.4986567497253418},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.469572514295578},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.439540833234787},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4255707263946533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4002181589603424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05268627405166626}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.8642369508743286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7510266900062561},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.7224950790405273},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.695013701915741},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5573931336402893},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5070407390594482},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.4986567497253418},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.469572514295578},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.439540833234787},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4255707263946533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4002181589603424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05268627405166626},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-010-9401-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-010-9401-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9401-0.pdf","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"},{"id":"pmh:oai:archive.ugent.be:1153804","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-1153804","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"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":"ISSN: 0925-1022","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s10623-010-9401-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-010-9401-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9401-0.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322603","display_name":"Universiteit Gent","ror":"https://ror.org/00cv9y106"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014868211.pdf","grobid_xml":"https://content.openalex.org/works/W2014868211.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W131567207","https://openalex.org/W351287510","https://openalex.org/W604735231","https://openalex.org/W1603801556","https://openalex.org/W1670650330","https://openalex.org/W2009454758","https://openalex.org/W2036105339","https://openalex.org/W2049770765","https://openalex.org/W2069892528","https://openalex.org/W2082861357","https://openalex.org/W2124113125","https://openalex.org/W2136862881","https://openalex.org/W2169249332","https://openalex.org/W2334988335"],"related_works":["https://openalex.org/W3105445479","https://openalex.org/W1588778438","https://openalex.org/W3214085710","https://openalex.org/W191505885","https://openalex.org/W3216887120","https://openalex.org/W2009245927","https://openalex.org/W4206266348","https://openalex.org/W3022735619","https://openalex.org/W4286857164","https://openalex.org/W2101217857"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
