{"id":"https://openalex.org/W4403175049","doi":"https://doi.org/10.62056/avrxrudhdj","title":"Attacking trapdoors from matrix products","display_name":"Attacking trapdoors from matrix products","publication_year":2024,"publication_date":"2024-10-07","ids":{"openalex":"https://openalex.org/W4403175049","doi":"https://doi.org/10.62056/avrxrudhdj"},"language":"en","primary_location":{"id":"doi:10.62056/avrxrudhdj","is_oa":true,"landing_page_url":"https://doi.org/10.62056/avrxrudhdj","pdf_url":"https://cic.iacr.org/p/1/3/43/pdf","source":{"id":"https://openalex.org/S4394708374","display_name":"IACR Communications in Cryptology","issn_l":"3006-5496","issn":["3006-5496"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320989","host_organization_name":"International Association for Cryptologic Research","host_organization_lineage":["https://openalex.org/P4310320989"],"host_organization_lineage_names":["International Association for Cryptologic Research"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Communications in Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://cic.iacr.org/p/1/3/43/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034249182","display_name":"Thomas Decru","orcid":"https://orcid.org/0000-0003-0253-4180"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Thomas Decru","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles"],"raw_orcid":"https://orcid.org/0000-0003-0253-4180","affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049737057","display_name":"Tako Boris Fouotsa","orcid":"https://orcid.org/0000-0003-1821-8406"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tako Fouotsa","raw_affiliation_strings":["EPFL"],"raw_orcid":"https://orcid.org/0000-0003-1821-8406","affiliations":[{"raw_affiliation_string":"EPFL","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107804223","display_name":"Paul Frixons","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Paul Frixons","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108298030","display_name":"Valerie Gilchrist","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Valerie Gilchrist","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles"],"raw_orcid":"https://orcid.org/0009-0009-0159-6495","affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046548183","display_name":"Christophe Petit","orcid":"https://orcid.org/0000-0003-3482-6743"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]},{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["BE","GB"],"is_corresponding":false,"raw_author_name":"Christophe Petit","raw_affiliation_strings":["University of Birmingham","Universit\u00e9 Libre de Bruxelles"],"raw_orcid":"https://orcid.org/0000-0003-3482-6743","affiliations":[{"raw_affiliation_string":"University of Birmingham","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":0.12352559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9987999796867371,"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"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5041316747665405},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.31828171014785767},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.10505440831184387}],"concepts":[{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5041316747665405},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.31828171014785767},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.10505440831184387}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.62056/avrxrudhdj","is_oa":true,"landing_page_url":"https://doi.org/10.62056/avrxrudhdj","pdf_url":"https://cic.iacr.org/p/1/3/43/pdf","source":{"id":"https://openalex.org/S4394708374","display_name":"IACR Communications in Cryptology","issn_l":"3006-5496","issn":["3006-5496"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320989","host_organization_name":"International Association for Cryptologic Research","host_organization_lineage":["https://openalex.org/P4310320989"],"host_organization_lineage_names":["International Association for Cryptologic Research"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Communications in Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/c373b2d9-e833-42af-9b50-df187c73fc24","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/c373b2d9-e833-42af-9b50-df187c73fc24","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Decru, T, Fouotsa, T, Frixons, P, Gilchrist, V & Petit, C 2024, 'Attacking trapdoors from matrix products', IACR Communications in Cryptology. https://doi.org/10.62056/avrxrudhdj","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/377725","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/377725","pdf_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/377725/3/matrix-trapdoors.pdf","source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"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":"IACR communications in cryptology, 3","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/777953","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/777953","pdf_url":"https://lirias.kuleuven.be/retrieve/75c8c8fc-e4d3-4b58-8ce0-2b44ec319c0e","source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Communications in Cryptology (CiC), vol. 1 (3)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.62056/avrxrudhdj","is_oa":true,"landing_page_url":"https://doi.org/10.62056/avrxrudhdj","pdf_url":"https://cic.iacr.org/p/1/3/43/pdf","source":{"id":"https://openalex.org/S4394708374","display_name":"IACR Communications in Cryptology","issn_l":"3006-5496","issn":["3006-5496"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320989","host_organization_name":"International Association for Cryptologic Research","host_organization_lineage":["https://openalex.org/P4310320989"],"host_organization_lineage_names":["International Association for Cryptologic Research"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Communications in Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1083587946","display_name":"Post-Quantum Cryptography: a Cryptanalysis Approach","funder_award_id":"EP/V011324/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2039776732","display_name":null,"funder_award_id":"EP/V011324/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403175049.pdf","grobid_xml":"https://content.openalex.org/works/W4403175049.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1494492726","https://openalex.org/W2000932900","https://openalex.org/W2008272678","https://openalex.org/W2067083810","https://openalex.org/W2134403686","https://openalex.org/W4250451165"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2748952813","https://openalex.org/W1531601525","https://openalex.org/W4391375266","https://openalex.org/W2078814861","https://openalex.org/W2527526854","https://openalex.org/W1976181487","https://openalex.org/W1986764834"],"abstract_inverted_index":{"Recently,":[0],"Geraud-Stewart":[1],"and":[2,26,60],"Naccache":[3],"proposed":[4],"two":[5,62],"trapdoors":[6],"based":[7],"on":[8],"matrix":[9,30],"products.":[10],"In":[11],"this":[12],"paper,":[13],"we":[14],"answer":[15],"the":[16,24,54,66],"call":[17],"for":[18],"cryptanalysis.":[19],"We":[20,38,48],"explore":[21],"how":[22],"using":[23,57],"trace":[25],"determinant":[27],"of":[28],"a":[29,45],"can":[31],"be":[32],"used":[33],"to":[34],"attack":[35],"their":[36,41],"constructions.":[37],"fully":[39],"break":[40],"first":[42],"construction":[43,56],"in":[44,53],"polynomial-time":[46],"attack.":[47],"show":[49],"an":[50],"information":[51],"leak":[52],"second":[55],"characteristic":[58],"polynomials,":[59],"provide":[61],"attacks":[63],"that":[64],"decrease":[65],"bit":[67],"security":[68],"by":[69],"about":[70],"half.":[71]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
