{"id":"https://openalex.org/W1931297250","doi":"https://doi.org/10.1109/ita.2015.7309009","title":"Yet another variation on minimal linear codes","display_name":"Yet another variation on minimal linear codes","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W1931297250","doi":"https://doi.org/10.1109/ita.2015.7309009","mag":"1931297250"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2015.7309009","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2015.7309009","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-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/A5047867702","display_name":"G\u00e9rard Cohen","orcid":null},"institutions":[{"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"]},{"id":"https://openalex.org/I190752583","display_name":"ParisTech","ror":"https://ror.org/05c2qg481","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G\u00e9rard Cohen","raw_affiliation_strings":["Télécom ParisTech, UMR 5141, CNRS, 46 rue Barrault, 75013, France"],"affiliations":[{"raw_affiliation_string":"Télécom ParisTech, UMR 5141, CNRS, 46 rue Barrault, 75013, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190752583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034752358","display_name":"Sihem Mesnager","orcid":"https://orcid.org/0000-0003-4008-2031"},"institutions":[{"id":"https://openalex.org/I48825208","display_name":"Universit\u00e9 Paris 8","ror":"https://ror.org/04wez5e68","country_code":"FR","type":"education","lineage":["https://openalex.org/I48825208"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"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":"Sihem Mesnager","raw_affiliation_strings":["Department of Mathematics, University of Paris XIII and University of Paris VIII, LAGA, UMR 7539, CNRS, Sorbonne Paris Cité, France"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Paris XIII and University of Paris VIII, LAGA, UMR 7539, CNRS, Sorbonne Paris Cité, France","institution_ids":["https://openalex.org/I48825208","https://openalex.org/I4210102686","https://openalex.org/I1294671590","https://openalex.org/I4210091279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055564070","display_name":"Hugues Randriam","orcid":null},"institutions":[{"id":"https://openalex.org/I190752583","display_name":"ParisTech","ror":"https://ror.org/05c2qg481","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583"]},{"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":"Hugues Randriam","raw_affiliation_strings":["Télécom ParisTech, UMR 5141, CNRS, 46 rue Barrault, 75013, France"],"affiliations":[{"raw_affiliation_string":"Télécom ParisTech, UMR 5141, CNRS, 46 rue Barrault, 75013, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190752583"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047867702"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190752583"],"apc_list":null,"apc_paid":null,"fwci":0.4451,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76376899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"329","last_page":"330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9923999905586243,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9923999905586243,"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/code-word","display_name":"Code word","score":0.7211191654205322},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6063593626022339},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6034989953041077},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5739664435386658},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.573799192905426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5435516834259033},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.48400089144706726},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4611656069755554},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.45505648851394653},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44672995805740356},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4221528470516205},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.39673903584480286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3612426221370697},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2992837727069855},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.18612509965896606},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10960319638252258}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.7211191654205322},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6063593626022339},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6034989953041077},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5739664435386658},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.573799192905426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5435516834259033},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.48400089144706726},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4611656069755554},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.45505648851394653},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44672995805740356},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4221528470516205},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.39673903584480286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3612426221370697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2992837727069855},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.18612509965896606},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10960319638252258},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ita.2015.7309009","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2015.7309009","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02287564v1","is_oa":false,"landing_page_url":"https://telecom-paris.hal.science/hal-02287564","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in mathmatics of Communications, 2016, 10 (1), pp.53-61","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W832867880","https://openalex.org/W2147254059","https://openalex.org/W4386066307","https://openalex.org/W917159298","https://openalex.org/W1975697476"],"abstract_inverted_index":{"Minimal":[0],"linear":[1,4,40],"codes":[2,5,24],"are":[3,43],"such":[6],"that":[7],"the":[8,16,56],"support":[9,17],"of":[10,18,50],"every":[11],"codeword":[12],"does":[13],"not":[14],"contain":[15],"another":[19],"linearly":[20],"independent":[21],"codeword.":[22],"Such":[23],"have":[25],"applications":[26],"in":[27],"cryptography,":[28],"e.g.":[29],"to":[30,86],"secret":[31],"sharing.":[32],"We":[33],"consider":[34],"here":[35],"quasi-minimal,":[36],"t-minimal,":[37],"and":[38,60,70],"t-quasi-minimal":[39],"codes,":[41],"which":[42],"new":[44],"variations":[45],"on":[46,67],"this":[47,51],"notion.":[48],"Part":[49],"work":[52],"was":[53],"done":[54],"by":[55],"first":[57],"two":[58],"authors":[59],"presented":[61],"at":[62],"4th":[63],"International":[64],"Castle":[65],"Meeting":[66],"Coding":[68],"Theory":[69],"Applications":[71],"Palmela,":[72],"Portugal,":[73],"15-18":[74],"September":[75],"2014;":[76],"an":[77],"extended":[78],"version":[79],"with":[80],"all":[81],"proofs":[82],"has":[83],"been":[84],"submitted":[85],"AMC":[87],"([CMR14]).":[88]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}