{"id":"https://openalex.org/W2020907711","doi":"https://doi.org/10.1007/s12095-013-0084-z","title":"Second weight codewords of generalized Reed-Muller codes","display_name":"Second weight codewords of generalized Reed-Muller codes","publication_year":2013,"publication_date":"2013-06-04","ids":{"openalex":"https://openalex.org/W2020907711","doi":"https://doi.org/10.1007/s12095-013-0084-z","mag":"2020907711"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-013-0084-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-013-0084-z","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"Cryptography and Communications","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/A5063637822","display_name":"Elodie Leducq","orcid":null},"institutions":[{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Elodie Leducq","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu, 175 rue du Chevaleret, 75013, Paris, France","Institut de Math\u00e9matiques de Jussieu, Paris, France 75013#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu, 175 rue du Chevaleret, 75013, Paris, France","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu, Paris, France 75013#TAB#","institution_ids":["https://openalex.org/I3017942884"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063637822"],"corresponding_institution_ids":["https://openalex.org/I3017942884"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.4838,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.92730957,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":"4","first_page":"241","last_page":"276"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.852341890335083},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5652483701705933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5620755553245544},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.47195759415626526},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4559117555618286},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4323533773422241},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42215144634246826},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3521615266799927},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.2980338931083679},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16190817952156067},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1452300250530243}],"concepts":[{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.852341890335083},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5652483701705933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5620755553245544},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.47195759415626526},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4559117555618286},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4323533773422241},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42215144634246826},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3521615266799927},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2980338931083679},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16190817952156067},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1452300250530243}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12095-013-0084-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-013-0084-z","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"Cryptography and Communications","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":14,"referenced_works":["https://openalex.org/W1969876891","https://openalex.org/W1981111533","https://openalex.org/W2008892094","https://openalex.org/W2029857487","https://openalex.org/W2042993834","https://openalex.org/W2063994293","https://openalex.org/W2073236804","https://openalex.org/W2079259333","https://openalex.org/W2130313677","https://openalex.org/W2133091062","https://openalex.org/W2166286240","https://openalex.org/W2949592355","https://openalex.org/W2963007070","https://openalex.org/W4241391312"],"related_works":["https://openalex.org/W2122540425","https://openalex.org/W1500755669","https://openalex.org/W4285494694","https://openalex.org/W2563545890","https://openalex.org/W3088883112","https://openalex.org/W2994481912","https://openalex.org/W2293846540","https://openalex.org/W2060062708","https://openalex.org/W1798117689","https://openalex.org/W2556147571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}