{"id":"https://openalex.org/W4251017869","doi":"https://doi.org/10.1007/978-1-4419-5906-5_38","title":"Montgomery Arithmetic","display_name":"Montgomery Arithmetic","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W4251017869","doi":"https://doi.org/10.1007/978-1-4419-5906-5_38"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4419-5906-5_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-5906-5_38","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Cryptography and Security","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/A5018100877","display_name":"\u00c7etin Kaya Ko\u00e7","orcid":"https://orcid.org/0000-0002-2572-9565"},"institutions":[{"id":"https://openalex.org/I13419840","display_name":"Istanbul \u015eehir University","ror":"https://ror.org/020ddy191","country_code":"TR","type":"education","lineage":["https://openalex.org/I13419840"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"\u00c7etin Kaya Ko\u00e7","raw_affiliation_strings":["College of Engineering and Natural Sciences, Istanbul Sehir University, Kusbakisi Caddesi No: 27, 34662, Uskudar, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Natural Sciences, Istanbul Sehir University, Kusbakisi Caddesi No: 27, 34662, Uskudar, Istanbul, Turkey","institution_ids":["https://openalex.org/I13419840"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018100877"],"corresponding_institution_ids":["https://openalex.org/I13419840"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.45194247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"799","last_page":"803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9975000023841858,"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/T10237","display_name":"Cryptography and Data Security","score":0.9975000023841858,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9915000200271606,"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/arithmetic","display_name":"Arithmetic","score":0.7615746259689331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4246904253959656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37187081575393677}],"concepts":[{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.7615746259689331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4246904253959656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37187081575393677}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4419-5906-5_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-5906-5_38","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Cryptography and Security","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":7,"referenced_works":["https://openalex.org/W1536508214","https://openalex.org/W1550170577","https://openalex.org/W1864311428","https://openalex.org/W2045682094","https://openalex.org/W2055515093","https://openalex.org/W2103774873","https://openalex.org/W2120608395"],"related_works":["https://openalex.org/W2963339245","https://openalex.org/W241866648","https://openalex.org/W2335699373","https://openalex.org/W2135173043","https://openalex.org/W4253321761","https://openalex.org/W2319007069","https://openalex.org/W2600284381","https://openalex.org/W2324899973","https://openalex.org/W4232640560","https://openalex.org/W2962706324"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}