{"id":"https://openalex.org/W1990858502","doi":"https://doi.org/10.1080/0161-118891862972","title":"PUBLIC KEY CRYPTOSYSTEM USING A RECIPROCAL NUMBER WITH THE SAME INTRACTABILITY AS FACTORING A LARGE NUMBER","display_name":"PUBLIC KEY CRYPTOSYSTEM USING A RECIPROCAL NUMBER WITH THE SAME INTRACTABILITY AS FACTORING A LARGE NUMBER","publication_year":1988,"publication_date":"1988-10-01","ids":{"openalex":"https://openalex.org/W1990858502","doi":"https://doi.org/10.1080/0161-118891862972","mag":"1990858502"},"language":"en","primary_location":{"id":"doi:10.1080/0161-118891862972","is_oa":false,"landing_page_url":"https://doi.org/10.1080/0161-118891862972","pdf_url":null,"source":{"id":"https://openalex.org/S185196701","display_name":"Cryptologia","issn_l":"0161-1194","issn":["0161-1194","1558-1586"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptologia","raw_type":"journal-article"},"type":"article","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/A5110190606","display_name":"Kaoru Kurosawa","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kaoru Kurosawa","raw_affiliation_strings":["Department of Information Processing, Graduate School at Nagatsuta, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 227 JAPAN","Tokyo Institute of Technology, Department of Information Processing, Graduate School at Nagatsuta, Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Processing, Graduate School at Nagatsuta, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 227 JAPAN","institution_ids":[]},{"raw_affiliation_string":"Tokyo Institute of Technology, Department of Information Processing, Graduate School at Nagatsuta, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107116650","display_name":"Toru Ito","orcid":"https://orcid.org/0000-0002-1935-7523"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshiya Ito","raw_affiliation_strings":["Department of Information Processing, Graduate School at Nagatsuta, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 227 JAPAN","Tokyo Institute of Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Processing, Graduate School at Nagatsuta, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 227 JAPAN","institution_ids":[]},{"raw_affiliation_string":"Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055049948","display_name":"Masashi Takeuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masashi Takeuchi","raw_affiliation_strings":["Department of Information Processing, Graduate School at Nagatsuta, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 227 JAPAN","Tokyo Institute of Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Processing, Graduate School at Nagatsuta, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, 227 JAPAN","institution_ids":[]},{"raw_affiliation_string":"Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110190606"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.6522,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.70437788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"4","first_page":"225","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9876000285148621,"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"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9876000285148621,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9871000051498413,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.945900022983551,"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/cryptosystem","display_name":"Cryptosystem","score":0.7630429267883301},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5957592129707336},{"id":"https://openalex.org/keywords/plaintext-aware-encryption","display_name":"Plaintext-aware encryption","score":0.5846060514450073},{"id":"https://openalex.org/keywords/public-key-cryptosystem","display_name":"Public key cryptosystem","score":0.5802122354507446},{"id":"https://openalex.org/keywords/plaintext","display_name":"Plaintext","score":0.5758796334266663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5505611300468445},{"id":"https://openalex.org/keywords/goldwasser\u2013micali-cryptosystem","display_name":"Goldwasser\u2013Micali cryptosystem","score":0.5456744432449341},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5352087616920471},{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.5284255146980286},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5268945693969727},{"id":"https://openalex.org/keywords/deterministic-encryption","display_name":"Deterministic encryption","score":0.5262930989265442},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.48599347472190857},{"id":"https://openalex.org/keywords/hybrid-cryptosystem","display_name":"Hybrid cryptosystem","score":0.467061847448349},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.44232335686683655},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4354827404022217},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41232216358184814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34667694568634033},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2737751603126526}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.7630429267883301},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5957592129707336},{"id":"https://openalex.org/C119133118","wikidata":"https://www.wikidata.org/wiki/Q7200761","display_name":"Plaintext-aware encryption","level":5,"score":0.5846060514450073},{"id":"https://openalex.org/C2984195096","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public key cryptosystem","level":4,"score":0.5802122354507446},{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.5758796334266663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5505611300468445},{"id":"https://openalex.org/C36367407","wikidata":"https://www.wikidata.org/wiki/Q742758","display_name":"Goldwasser\u2013Micali cryptosystem","level":5,"score":0.5456744432449341},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5352087616920471},{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.5284255146980286},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5268945693969727},{"id":"https://openalex.org/C57795399","wikidata":"https://www.wikidata.org/wiki/Q5265706","display_name":"Deterministic encryption","level":4,"score":0.5262930989265442},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.48599347472190857},{"id":"https://openalex.org/C73468433","wikidata":"https://www.wikidata.org/wiki/Q1639918","display_name":"Hybrid cryptosystem","level":4,"score":0.467061847448349},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.44232335686683655},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4354827404022217},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41232216358184814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34667694568634033},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2737751603126526},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/0161-118891862972","is_oa":false,"landing_page_url":"https://doi.org/10.1080/0161-118891862972","pdf_url":null,"source":{"id":"https://openalex.org/S185196701","display_name":"Cryptologia","issn_l":"0161-1194","issn":["0161-1194","1558-1586"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptologia","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2768338573","https://openalex.org/W2081551898","https://openalex.org/W2022545730","https://openalex.org/W1990726601","https://openalex.org/W2793445239","https://openalex.org/W2181986854","https://openalex.org/W2625585199","https://openalex.org/W2026063244","https://openalex.org/W2114142559","https://openalex.org/W4206984193"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,8,23,45],"Public":[4],"Key":[5],"Cryptosystem":[6],"using":[7],"reciprocal":[9],"number.":[10,25],"Breaking":[11],"the":[12,41],"proposed":[13],"cryptosystem":[14],"is":[15,40],"proven":[16],"to":[17],"be":[18],"as":[19,21],"difficult":[20],"factoring":[22],"large":[24],"Encryption":[26],"requires":[27,34],"O(n":[28,35],"2)":[29],"bit":[30,37,42],"operations":[31],"and":[32],"decryption":[33],"3)":[36],"operations.":[38],"(n":[39],"length":[43],"of":[44],"plaintext.)":[46]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}