{"id":"https://openalex.org/W120063373","doi":"https://doi.org/10.1007/978-3-540-24847-7_20","title":"A Method to Solve Cyclotomic Norm Equations $f * \\bar{f}$","display_name":"A Method to Solve Cyclotomic Norm Equations $f * \\bar{f}$","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W120063373","doi":"https://doi.org/10.1007/978-3-540-24847-7_20","mag":"120063373"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24847-7_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24847-7_20","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":"conference-paper","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/A5029637590","display_name":"Nick Howgrave-Graham","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nick Howgrave-Graham","raw_affiliation_strings":["NTRU Cryptosystems, Burlington, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTRU Cryptosystems, Burlington, MA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091758462","display_name":"Mike Szydlo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mike Szydlo","raw_affiliation_strings":["RSA Laboratories, Burlington, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RSA Laboratories, Burlington, MA, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"272","last_page":"279"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.6835294365882874},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6026639342308044},{"id":"https://openalex.org/keywords/class-number","display_name":"Class number","score":0.4915233552455902},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.46961337327957153},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.43103891611099243},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41473913192749023},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39289426803588867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3594214916229248}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6835294365882874},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6026639342308044},{"id":"https://openalex.org/C2983692738","wikidata":"https://www.wikidata.org/wiki/Q943927","display_name":"Class number","level":3,"score":0.4915233552455902},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.46961337327957153},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.43103891611099243},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41473913192749023},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39289426803588867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3594214916229248},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-24847-7_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24847-7_20","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1496801598","https://openalex.org/W1507575253","https://openalex.org/W1558606648","https://openalex.org/W1568026980","https://openalex.org/W1592441913","https://openalex.org/W1604454960","https://openalex.org/W1617207753","https://openalex.org/W1989510734","https://openalex.org/W2132050984","https://openalex.org/W2135124252","https://openalex.org/W2141040012","https://openalex.org/W2151592708","https://openalex.org/W2159366854","https://openalex.org/W3043060850","https://openalex.org/W4285719527","https://openalex.org/W4291439952","https://openalex.org/W6765885752"],"related_works":["https://openalex.org/W2329457535","https://openalex.org/W2031626319","https://openalex.org/W2332396237","https://openalex.org/W2317623867","https://openalex.org/W1987894575","https://openalex.org/W2170378173","https://openalex.org/W2058659591","https://openalex.org/W1979129874","https://openalex.org/W2220418215","https://openalex.org/W3100921683"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":13},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}