{"id":"https://openalex.org/W2607587207","doi":"https://doi.org/10.1109/tit.2019.2909872","title":"Generalized Subspace Subcodes With Application in Cryptology","display_name":"Generalized Subspace Subcodes With Application in Cryptology","publication_year":2019,"publication_date":"2019-07-12","ids":{"openalex":"https://openalex.org/W2607587207","doi":"https://doi.org/10.1109/tit.2019.2909872","mag":"2607587207"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2909872","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2909872","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1704.07882","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103098443","display_name":"Thierry Pierre Berger","orcid":"https://orcid.org/0000-0002-6215-174X"},"institutions":[{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry P. Berger","raw_affiliation_strings":["XLIM, UMR 7252, Universit\u00e9 de Limoges, Limoges, France","[XLIM, UMR 7252, Universit\u00e9 de Limoges, Limoges, France]"],"raw_orcid":"https://orcid.org/0000-0002-6215-174X","affiliations":[{"raw_affiliation_string":"XLIM, UMR 7252, Universit\u00e9 de Limoges, Limoges, France","institution_ids":["https://openalex.org/I65806277"]},{"raw_affiliation_string":"[XLIM, UMR 7252, Universit\u00e9 de Limoges, Limoges, France]","institution_ids":["https://openalex.org/I65806277"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016099760","display_name":"Cheikh Thi\u00e9coumba Gueye","orcid":"https://orcid.org/0000-0003-2881-2978"},"institutions":[{"id":"https://openalex.org/I96840727","display_name":"Cheikh Anta Diop University","ror":"https://ror.org/04je6yw13","country_code":"SN","type":"education","lineage":["https://openalex.org/I96840727"]}],"countries":["SN"],"is_corresponding":false,"raw_author_name":"Cheikh Thiecoumba Gueye","raw_affiliation_strings":["Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, S\u00e9n\u00e9gal","Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, Senegal"],"raw_orcid":"https://orcid.org/0000-0003-2881-2978","affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, S\u00e9n\u00e9gal","institution_ids":["https://openalex.org/I96840727"]},{"raw_affiliation_string":"Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, Senegal","institution_ids":["https://openalex.org/I96840727"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026436506","display_name":"Jean Belo Klamti","orcid":"https://orcid.org/0000-0001-9231-1129"},"institutions":[{"id":"https://openalex.org/I96840727","display_name":"Cheikh Anta Diop University","ror":"https://ror.org/04je6yw13","country_code":"SN","type":"education","lineage":["https://openalex.org/I96840727"]}],"countries":["SN"],"is_corresponding":false,"raw_author_name":"Jean Belo Klamti","raw_affiliation_strings":["Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, S\u00e9n\u00e9gal","Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, Senegal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, S\u00e9n\u00e9gal","institution_ids":["https://openalex.org/I96840727"]},{"raw_affiliation_string":"Facult\u00e9 des Sciences et Techniques, DMI, LACGAA, Universit\u00e9 Cheikh Anta Diop, Dakar, Senegal","institution_ids":["https://openalex.org/I96840727"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00240438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"8","first_page":"4641","last_page":"4657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9968000054359436,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9962999820709229,"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/mathematics","display_name":"Mathematics","score":0.6721663475036621},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5951693058013916},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5821229219436646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5132091045379639},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5023219585418701},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.4314896762371063},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.36539632081985474},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.35867875814437866},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2334873378276825},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21208986639976501},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12402543425559998}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6721663475036621},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5951693058013916},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5821229219436646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5132091045379639},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5023219585418701},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.4314896762371063},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.36539632081985474},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.35867875814437866},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2334873378276825},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21208986639976501},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12402543425559998},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2019.2909872","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2909872","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.07882","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.07882","pdf_url":"https://arxiv.org/pdf/1704.07882","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2607587207","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1704.07882.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1704.07882","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1704.07882","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1704.07882","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.07882","pdf_url":"https://arxiv.org/pdf/1704.07882","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2607587207.pdf","grobid_xml":"https://content.openalex.org/works/W2607587207.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W23137767","https://openalex.org/W1128401755","https://openalex.org/W1488034582","https://openalex.org/W1510132879","https://openalex.org/W1520077026","https://openalex.org/W1550367722","https://openalex.org/W1565337244","https://openalex.org/W1566154368","https://openalex.org/W1591839408","https://openalex.org/W1606480398","https://openalex.org/W1897146492","https://openalex.org/W1965275036","https://openalex.org/W1976677460","https://openalex.org/W1990361074","https://openalex.org/W1997772212","https://openalex.org/W2017429418","https://openalex.org/W2026461145","https://openalex.org/W2050547564","https://openalex.org/W2078870121","https://openalex.org/W2083016604","https://openalex.org/W2104464473","https://openalex.org/W2121574730","https://openalex.org/W2131300066","https://openalex.org/W2137760933","https://openalex.org/W2278625784","https://openalex.org/W2619674633","https://openalex.org/W2769000485","https://openalex.org/W4249367262","https://openalex.org/W6770380337"],"related_works":["https://openalex.org/W2794496386","https://openalex.org/W3021758908","https://openalex.org/W3086060895","https://openalex.org/W2126486931","https://openalex.org/W3047990614","https://openalex.org/W3021485920","https://openalex.org/W3140261953","https://openalex.org/W1985443843","https://openalex.org/W348408967","https://openalex.org/W3204718066","https://openalex.org/W3036797629","https://openalex.org/W3202273537","https://openalex.org/W3101755205","https://openalex.org/W3135189224","https://openalex.org/W2998938902","https://openalex.org/W1663773594","https://openalex.org/W3136348518","https://openalex.org/W2963024133","https://openalex.org/W2954811471","https://openalex.org/W1588247375"],"abstract_inverted_index":{"Most":[0],"codes":[1,36,83,115,145,149,175],"with":[2,150],"an":[3],"algebraic":[4],"decoding":[5,62],"algorithm":[6,63],"are":[7,13,111,117],"derived":[8],"from":[9],"Reed-Solomon":[10,22,67,93,144,174],"codes.":[11,94],"They":[12],"obtained":[14],"by":[15,25],"taking":[16],"equivalent":[17],"codes,":[18,23],"for":[19],"example,":[20],"generalized":[21,135,143,170],"or":[24,42],"using":[26],"the":[27,38,57,61,65,76,88,104,125,132,164,167],"so-called":[28],"subfield":[29,121],"subcode":[30],"method,":[31],"which":[32,146],"leads":[33,147],"to":[34,54,99,120,142,148],"alternant":[35],"over":[37,43,103,154],"underlying":[39,66],"prime":[40],"field,":[41],"some":[44],"intermediate":[45],"subfield.":[46],"The":[47],"main":[48],"advantage":[49],"of":[50,64,82,91,106,127,134,166,169,173],"these":[51],"constructions":[52],"is":[53],"preserve":[55],"both":[56],"minimum":[58],"distance":[59],"and":[60],"code.":[68],"In":[69],"this":[70,97,160],"paper,":[71,161],"we":[72,162],"explore":[73],"in":[74,87,113,176],"detail":[75],"subspace":[77,128,136,171],"subcodes":[78,172],"construction.":[79],"This":[80],"kind":[81],"was":[84],"already":[85],"studied":[86],"particular":[89],"case":[90],"cyclic":[92],"We":[95,110,123,130,138],"extend":[96],"approach":[98],"any":[100],"linear":[101],"code":[102],"extension":[105],"a":[107,155,177],"finite":[108],"field.":[109],"interested":[112],"additive":[114],"who":[116],"deeply":[118],"connected":[119],"subcodes.":[122,129,137],"characterize":[124],"duals":[126],"introduce":[131],"notion":[133],"apply":[139],"our":[140],"results":[141],"interesting":[151],"parameters,":[152],"especially":[153],"large":[156],"alphabet.":[157],"To":[158],"conclude":[159],"discuss":[163],"security":[165],"use":[168],"cryptographic":[178],"context.":[179]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
