{"id":"https://openalex.org/W2729344185","doi":"https://doi.org/10.1007/978-3-319-96878-0_16","title":"A New Public-Key Cryptosystem via Mersenne Numbers","display_name":"A New Public-Key Cryptosystem via Mersenne Numbers","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2729344185","doi":"https://doi.org/10.1007/978-3-319-96878-0_16","mag":"2729344185"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-96878-0_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96878-0_16","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069623985","display_name":"Divesh Aggarwal","orcid":"https://orcid.org/0000-0002-3841-0262"},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Divesh Aggarwal","raw_affiliation_strings":["School of Computing and Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Computing and Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009219098","display_name":"Antoine Joux","orcid":"https://orcid.org/0000-0003-2682-6508"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Joux","raw_affiliation_strings":["Chaire de Cryptologie de la Fondation SU, Sorbonne Universit\u00e9, Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, Inria, CNRS, Univ Paris Diderot, Paris, France"],"affiliations":[{"raw_affiliation_string":"Chaire de Cryptologie de la Fondation SU, Sorbonne Universit\u00e9, Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, Inria, CNRS, Univ Paris Diderot, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083079961","display_name":"Anupam Prakash","orcid":"https://orcid.org/0000-0002-6853-7125"},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Anupam Prakash","raw_affiliation_strings":["Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]},{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046562790","display_name":"Mikl\u00f3s S\u00e1ntha","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/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR","SG"],"is_corresponding":false,"raw_author_name":"Miklos Santha","raw_affiliation_strings":["Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","IRIF, Universit\u00e9 Paris Diderot, CNRS, Paris, France"],"affiliations":[{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]},{"raw_affiliation_string":"IRIF, Universit\u00e9 Paris Diderot, CNRS, Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069623985"],"corresponding_institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.7122,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.97158111,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"459","last_page":"482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"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":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mersenne-prime","display_name":"Mersenne prime","score":0.9689486026763916},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.6291580200195312},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6045892834663391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5898213386535645},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.567379355430603},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.5302709341049194},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5103037357330322},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.5052822232246399},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5034245848655701},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5008172988891602},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4618612229824066},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4527949094772339},{"id":"https://openalex.org/keywords/public-key-cryptosystem","display_name":"Public key cryptosystem","score":0.444597989320755},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38631752133369446},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.32295602560043335},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.267597496509552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2620237469673157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1988236904144287},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.14768260717391968},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.0885959267616272}],"concepts":[{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.9689486026763916},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.6291580200195312},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6045892834663391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5898213386535645},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.567379355430603},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.5302709341049194},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5103037357330322},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.5052822232246399},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5034245848655701},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5008172988891602},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4618612229824066},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4527949094772339},{"id":"https://openalex.org/C2984195096","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public key cryptosystem","level":4,"score":0.444597989320755},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38631752133369446},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.32295602560043335},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.267597496509552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2620237469673157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1988236904144287},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.14768260717391968},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0885959267616272},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-96878-0_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96878-0_16","pdf_url":null,"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1510717485","https://openalex.org/W1517403092","https://openalex.org/W1550745077","https://openalex.org/W1606480398","https://openalex.org/W1675339804","https://openalex.org/W1965275036","https://openalex.org/W1996360405","https://openalex.org/W2005059149","https://openalex.org/W2007466965","https://openalex.org/W2073210531","https://openalex.org/W2084652510","https://openalex.org/W2096043087","https://openalex.org/W2098290658","https://openalex.org/W2125522103","https://openalex.org/W2148003739","https://openalex.org/W2156186849","https://openalex.org/W2161195863","https://openalex.org/W2740966734","https://openalex.org/W2794740045","https://openalex.org/W2914157499","https://openalex.org/W2949793526","https://openalex.org/W2964080237","https://openalex.org/W2986959318","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W4232836212","https://openalex.org/W4243494487"],"related_works":["https://openalex.org/W1806453146","https://openalex.org/W3009885949","https://openalex.org/W1530429521","https://openalex.org/W2365427741","https://openalex.org/W34804254","https://openalex.org/W3158577165","https://openalex.org/W2074801764","https://openalex.org/W2950139756","https://openalex.org/W34493573","https://openalex.org/W1920640373"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":2}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}