{"id":"https://openalex.org/W133524514","doi":"https://doi.org/10.1007/978-3-319-01854-6_58","title":"The Isomorphism of Polynomials Problem Applied to Multivariate Quadratic Cryptography","display_name":"The Isomorphism of Polynomials Problem Applied to Multivariate Quadratic Cryptography","publication_year":2013,"publication_date":"2013-08-08","ids":{"openalex":"https://openalex.org/W133524514","doi":"https://doi.org/10.1007/978-3-319-01854-6_58","mag":"133524514"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-01854-6_58","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-01854-6_58","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5029863018","display_name":"Marta Conde Pena","orcid":null},"institutions":[{"id":"https://openalex.org/I4210130446","display_name":"Instituto Nacional de Seguridad y Salud en el Trabajo","ror":"https://ror.org/038bzvr58","country_code":"ES","type":"government","lineage":["https://openalex.org/I4210130446"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marta Conde Pena","raw_affiliation_strings":["Instituto de Seguridad de la Informaci\u00f3n, CSIC, E-28006, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Seguridad de la Informaci\u00f3n, CSIC, E-28006, Madrid, Spain","institution_ids":["https://openalex.org/I4210130446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021424068","display_name":"Ra\u00fal Dur\u00e1n D\u0131\u0301az","orcid":"https://orcid.org/0000-0001-6217-4768"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ra\u00fal Dur\u00e1n D\u00edaz","raw_affiliation_strings":["Universidad de Alcal\u00e1, E-28871, Alcal\u00e1 de Henares, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Alcal\u00e1, E-28871, Alcal\u00e1 de Henares, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033193694","display_name":"Luis Hern\u00e1ndez Encinas","orcid":"https://orcid.org/0000-0001-6980-2683"},"institutions":[{"id":"https://openalex.org/I4210130446","display_name":"Instituto Nacional de Seguridad y Salud en el Trabajo","ror":"https://ror.org/038bzvr58","country_code":"ES","type":"government","lineage":["https://openalex.org/I4210130446"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis Hern\u00e1ndez Encinas","raw_affiliation_strings":["Instituto de Seguridad de la Informaci\u00f3n, CSIC, E-28006, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Seguridad de la Informaci\u00f3n, CSIC, E-28006, Madrid, Spain","institution_ids":["https://openalex.org/I4210130446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069322182","display_name":"J. Mu\u00f1oz Masqu\u00e9","orcid":"https://orcid.org/0000-0002-3734-1699"},"institutions":[{"id":"https://openalex.org/I4210130446","display_name":"Instituto Nacional de Seguridad y Salud en el Trabajo","ror":"https://ror.org/038bzvr58","country_code":"ES","type":"government","lineage":["https://openalex.org/I4210130446"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jaime Mu\u00f1oz Masqu\u00e9","raw_affiliation_strings":["Instituto de Seguridad de la Informaci\u00f3n, CSIC, E-28006, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Seguridad de la Informaci\u00f3n, CSIC, E-28006, Madrid, Spain","institution_ids":["https://openalex.org/I4210130446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029863018"],"corresponding_institution_ids":["https://openalex.org/I4210130446"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07535601,"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":"567","last_page":"576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987000226974487,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/isomorphism","display_name":"Isomorphism (crystallography)","score":0.7647336721420288},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5513368844985962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5112033486366272},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.47218623757362366},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4578053951263428},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39609986543655396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37130826711654663},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19304797053337097},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10971766710281372},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.058019042015075684},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.051179975271224976},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04857814311981201}],"concepts":[{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7647336721420288},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5513368844985962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5112033486366272},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.47218623757362366},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4578053951263428},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39609986543655396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37130826711654663},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19304797053337097},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10971766710281372},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.058019042015075684},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.051179975271224976},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04857814311981201},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-01854-6_58","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-01854-6_58","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W140331756","https://openalex.org/W214384890","https://openalex.org/W1199227884","https://openalex.org/W1492604485","https://openalex.org/W1518039673","https://openalex.org/W1518712071","https://openalex.org/W1551206651","https://openalex.org/W1568587963","https://openalex.org/W1583871653","https://openalex.org/W1593401740","https://openalex.org/W1806793453","https://openalex.org/W1821087317","https://openalex.org/W1886646278","https://openalex.org/W2083424400","https://openalex.org/W2083889349","https://openalex.org/W2123147311","https://openalex.org/W2128968394","https://openalex.org/W2150496909","https://openalex.org/W2276634921","https://openalex.org/W2475397807","https://openalex.org/W2483988241","https://openalex.org/W2484860292","https://openalex.org/W2493671158","https://openalex.org/W2499339068","https://openalex.org/W2503514047","https://openalex.org/W2506201965","https://openalex.org/W2506735936","https://openalex.org/W2770583616","https://openalex.org/W2951182399","https://openalex.org/W2986959318","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W4233772166","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2406638334","https://openalex.org/W4390961098","https://openalex.org/W4288024920","https://openalex.org/W2987986312","https://openalex.org/W1991765889","https://openalex.org/W1990068454","https://openalex.org/W2472172556","https://openalex.org/W2898780680","https://openalex.org/W2280920478","https://openalex.org/W1570805059"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}