{"id":"https://openalex.org/W1905598960","doi":"https://doi.org/10.1007/3-540-60114-7_11","title":"Fast exponentation in cryptography","display_name":"Fast exponentation in cryptography","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1905598960","doi":"https://doi.org/10.1007/3-540-60114-7_11","mag":"1905598960"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-60114-7_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60114-7_11","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":"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/A5018999589","display_name":"Irina E. Bocharova","orcid":"https://orcid.org/0000-0002-6460-4626"},"institutions":[{"id":"https://openalex.org/I130523015","display_name":"Saint Petersburg State University of Aerospace and Instrumentation","ror":"https://ror.org/02rsxaa93","country_code":"RU","type":"education","lineage":["https://openalex.org/I130523015"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Irina. E. Bocharova","raw_affiliation_strings":["St.-Petersburg Academy of Airspace Instrumentation, Bolshaia Morskaia str.,67, 190000, St.-Petersburg, Russia","St.-Petersburg Academy of Airspace Instrumentation"],"affiliations":[{"raw_affiliation_string":"St.-Petersburg Academy of Airspace Instrumentation, Bolshaia Morskaia str.,67, 190000, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I130523015"]},{"raw_affiliation_string":"St.-Petersburg Academy of Airspace Instrumentation","institution_ids":["https://openalex.org/I130523015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088880021","display_name":"Boris D. Kudryashov","orcid":"https://orcid.org/0000-0002-5865-5283"},"institutions":[{"id":"https://openalex.org/I130523015","display_name":"Saint Petersburg State University of Aerospace and Instrumentation","ror":"https://ror.org/02rsxaa93","country_code":"RU","type":"education","lineage":["https://openalex.org/I130523015"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Boris. D. Kudryashov","raw_affiliation_strings":["St.-Petersburg Academy of Airspace Instrumentation, Bolshaia Morskaia str.,67, 190000, St.-Petersburg, Russia","St.-Petersburg Academy of Airspace Instrumentation"],"affiliations":[{"raw_affiliation_string":"St.-Petersburg Academy of Airspace Instrumentation, Bolshaia Morskaia str.,67, 190000, St.-Petersburg, Russia","institution_ids":["https://openalex.org/I130523015"]},{"raw_affiliation_string":"St.-Petersburg Academy of Airspace Instrumentation","institution_ids":["https://openalex.org/I130523015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018999589"],"corresponding_institution_ids":["https://openalex.org/I130523015"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3976,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80652791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"146","last_page":"157"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.8009370565414429},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.7832012176513672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6514915227890015},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6166646480560303},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5612242221832275},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5575841665267944},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5518789291381836},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.5177870988845825},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.461184561252594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4365310072898865},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41218629479408264},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37376266717910767},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3190627694129944},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.2986529469490051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25497937202453613},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.24728471040725708}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8009370565414429},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.7832012176513672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6514915227890015},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6166646480560303},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5612242221832275},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5575841665267944},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5518789291381836},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.5177870988845825},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.461184561252594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4365310072898865},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41218629479408264},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37376266717910767},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3190627694129944},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2986529469490051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25497937202453613},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.24728471040725708},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":2,"locations":[{"id":"doi:10.1007/3-540-60114-7_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60114-7_11","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"},{"id":"pmh:oai:lup.lub.lu.se:f1e20f39-2348-492a-a70f-8169eeea3895","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/1474303","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1611-3349","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1996360405","https://openalex.org/W2075488055","https://openalex.org/W2099111195","https://openalex.org/W2109227390","https://openalex.org/W2122962290","https://openalex.org/W2156186849","https://openalex.org/W2228496708","https://openalex.org/W2752853835","https://openalex.org/W4232836212"],"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/W2039465140"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}