{"id":"https://openalex.org/W4235431171","doi":"https://doi.org/10.1007/978-1-4419-5906-5_26","title":"Binary Exponentiation","display_name":"Binary Exponentiation","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W4235431171","doi":"https://doi.org/10.1007/978-1-4419-5906-5_26"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4419-5906-5_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-5906-5_26","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/A5056679254","display_name":"Bodo M\u00f6ller","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100430","display_name":"Google (Switzerland)","ror":"https://ror.org/014f9c269","country_code":"CH","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210100430","https://openalex.org/I4210128969"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Bodo M\u00f6ller","raw_affiliation_strings":["Google Switzerland GmbH, Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Google Switzerland GmbH, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I4210100430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056679254"],"corresponding_institution_ids":["https://openalex.org/I4210100430"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34645669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"84","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.08299999684095383,"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/T10320","display_name":"Neural Networks and Applications","score":0.08299999684095383,"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/exponentiation","display_name":"Exponentiation","score":0.7738475799560547},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.4431711435317993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4184434711933136},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3837100863456726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26250365376472473},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.20167285203933716},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.04062500596046448},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.03411325812339783}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.7738475799560547},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.4431711435317993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4184434711933136},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3837100863456726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26250365376472473},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.20167285203933716},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.04062500596046448},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.03411325812339783},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4419-5906-5_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-5906-5_26","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":0,"referenced_works":[],"related_works":["https://openalex.org/W4235485585","https://openalex.org/W670148","https://openalex.org/W1507420113","https://openalex.org/W4242613270","https://openalex.org/W2107014706","https://openalex.org/W28274153","https://openalex.org/W2736837562","https://openalex.org/W2020808628","https://openalex.org/W2767903583","https://openalex.org/W1508408889"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}
