{"id":"https://openalex.org/W2090015297","doi":"https://doi.org/10.1007/bf01398010","title":"A public-key cryptosystem utilizing cyclotomic fields","display_name":"A public-key cryptosystem utilizing cyclotomic fields","publication_year":1995,"publication_date":"1995-09-01","ids":{"openalex":"https://openalex.org/W2090015297","doi":"https://doi.org/10.1007/bf01398010","mag":"2090015297"},"language":"en","primary_location":{"id":"doi:10.1007/bf01398010","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01398010","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5066623074","display_name":"Renate Scheidler","orcid":"https://orcid.org/0000-0001-7164-8769"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Renate Scheidler","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, 19716, Newark, DE","Department of Mathematical Sciences University of Delaware, Newark"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, 19716, Newark, DE","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware, Newark","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103889892","display_name":"Hugh C. Williams","orcid":null},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hugh C. Williams","raw_affiliation_strings":["Department of Computer Science, University of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada","Dept. of Computer Science, University of Manitoba, Winnipeg, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada","institution_ids":["https://openalex.org/I46247651"]},{"raw_affiliation_string":"Dept. of Computer Science, University of Manitoba, Winnipeg, Canada","institution_ids":["https://openalex.org/I46247651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066623074"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.3478,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.89674966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":"2","first_page":"117","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"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/cryptosystem","display_name":"Cryptosystem","score":0.8149609565734863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6449912786483765},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.5816150307655334},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5513998866081238},{"id":"https://openalex.org/keywords/integer-factorization","display_name":"Integer factorization","score":0.5370911955833435},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5148414969444275},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5104979276657104},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5070302486419678},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.49656087160110474},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4918956756591797},{"id":"https://openalex.org/keywords/cyclotomic-field","display_name":"Cyclotomic field","score":0.47819164395332336},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.4598572850227356},{"id":"https://openalex.org/keywords/unique-factorization-domain","display_name":"Unique factorization domain","score":0.4428553283214569},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.4255329668521881},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.422243595123291},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.4144912362098694},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38319963216781616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28342312574386597},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2441917061805725},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24409615993499756},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.10238757729530334}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.8149609565734863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6449912786483765},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.5816150307655334},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5513998866081238},{"id":"https://openalex.org/C119677069","wikidata":"https://www.wikidata.org/wiki/Q4846249","display_name":"Integer factorization","level":4,"score":0.5370911955833435},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5148414969444275},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5104979276657104},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5070302486419678},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.49656087160110474},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4918956756591797},{"id":"https://openalex.org/C127843967","wikidata":"https://www.wikidata.org/wiki/Q1554628","display_name":"Cyclotomic field","level":2,"score":0.47819164395332336},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.4598572850227356},{"id":"https://openalex.org/C185592164","wikidata":"https://www.wikidata.org/wiki/Q1052579","display_name":"Unique factorization domain","level":3,"score":0.4428553283214569},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.4255329668521881},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.422243595123291},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.4144912362098694},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38319963216781616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28342312574386597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2441917061805725},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24409615993499756},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.10238757729530334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01398010","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01398010","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W54123171","https://openalex.org/W206369591","https://openalex.org/W603544105","https://openalex.org/W1531115685","https://openalex.org/W1966914095","https://openalex.org/W1972160534","https://openalex.org/W1991728011","https://openalex.org/W2008377112","https://openalex.org/W2011809718","https://openalex.org/W2024678014","https://openalex.org/W2026025311","https://openalex.org/W2036859942","https://openalex.org/W2093850334","https://openalex.org/W2167989228","https://openalex.org/W2783802424","https://openalex.org/W2911479348","https://openalex.org/W2916487254","https://openalex.org/W2986213242","https://openalex.org/W6606016681","https://openalex.org/W6833331889"],"related_works":["https://openalex.org/W4283158364","https://openalex.org/W2402925470","https://openalex.org/W4245162580","https://openalex.org/W2109501945","https://openalex.org/W2379063119","https://openalex.org/W2348877365","https://openalex.org/W1939102949","https://openalex.org/W912015212","https://openalex.org/W2054848992","https://openalex.org/W2090015297"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}