{"id":"https://openalex.org/W1508014175","doi":"https://doi.org/10.1007/0-387-34799-2_9","title":"Computation of Approximate L-th Roots Modulo n and Application to Cryptography","display_name":"Computation of Approximate L-th Roots Modulo n and Application to Cryptography","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W1508014175","doi":"https://doi.org/10.1007/0-387-34799-2_9","mag":"1508014175"},"language":"en","primary_location":{"id":"doi:10.1007/0-387-34799-2_9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-34799-2_9","pdf_url":"https://link.springer.com/content/pdf/10.1007/0-387-34799-2_9.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/0-387-34799-2_9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080688983","display_name":"Marc Girault","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marc Girault","raw_affiliation_strings":["Service d\u2019Etudes communes des Postes et T\u00e9l\u00e9communications, BP 6243, 14066, Caen Cedex, France","Service d'Etudes communes des Postes et T\u00e9l\u00e9communications, BP 6243, 14066, Caen Cedex, France"],"affiliations":[{"raw_affiliation_string":"Service d\u2019Etudes communes des Postes et T\u00e9l\u00e9communications, BP 6243, 14066, Caen Cedex, France","institution_ids":[]},{"raw_affiliation_string":"Service d'Etudes communes des Postes et T\u00e9l\u00e9communications, BP 6243, 14066, Caen Cedex, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013767099","display_name":"Philippe Toffin","orcid":null},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Toffin","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques, Universit\u00e9, 14032, Caen Cedex, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Universit\u00e9, 14032, Caen Cedex, France","institution_ids":["https://openalex.org/I3019441195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082150310","display_name":"Brigitte Vall\u00e9e","orcid":"https://orcid.org/0000-0002-2794-6811"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Brigitte Vall\u00e9e","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques, Universit\u00e9, 14032, Caen Cedex, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Universit\u00e9, 14032, Caen Cedex, France","institution_ids":["https://openalex.org/I3019441195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080688983"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0782,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.78195489,"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":"100","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/modulo","display_name":"Modulo","score":0.826269268989563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7835947275161743},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.7054644823074341},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6903666257858276},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46887898445129395},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3737921118736267},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33353397250175476},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25392839312553406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15632185339927673}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.826269268989563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7835947275161743},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.7054644823074341},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6903666257858276},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46887898445129395},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3737921118736267},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33353397250175476},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25392839312553406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15632185339927673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/0-387-34799-2_9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-34799-2_9","pdf_url":"https://link.springer.com/content/pdf/10.1007/0-387-34799-2_9.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/0-387-34799-2_9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-34799-2_9","pdf_url":"https://link.springer.com/content/pdf/10.1007/0-387-34799-2_9.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1508014175.pdf","grobid_xml":"https://content.openalex.org/works/W1508014175.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1522255819","https://openalex.org/W1554502957","https://openalex.org/W1567930774","https://openalex.org/W1577571951","https://openalex.org/W1679474142","https://openalex.org/W1804795452","https://openalex.org/W1974322345","https://openalex.org/W1988524997","https://openalex.org/W1996360405","https://openalex.org/W2024142753","https://openalex.org/W2056579313","https://openalex.org/W2098318916","https://openalex.org/W2108104892","https://openalex.org/W2108826934","https://openalex.org/W2128531813","https://openalex.org/W2134863191","https://openalex.org/W2141040012","https://openalex.org/W2164500771","https://openalex.org/W2464048625","https://openalex.org/W4232836212","https://openalex.org/W6633009412"],"related_works":["https://openalex.org/W2117548279","https://openalex.org/W2097470475","https://openalex.org/W2070252991","https://openalex.org/W2807449856","https://openalex.org/W2941201715","https://openalex.org/W2070522125","https://openalex.org/W2477549100","https://openalex.org/W4307248189","https://openalex.org/W3093954335","https://openalex.org/W4205482204"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
