{"id":"https://openalex.org/W1845824075","doi":"https://doi.org/10.1007/11571155_14","title":"New Computation Paradigm for Modular Exponentiation Using a Graph Model","display_name":"New Computation Paradigm for Modular Exponentiation Using a Graph Model","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1845824075","doi":"https://doi.org/10.1007/11571155_14","mag":"1845824075"},"language":"en","primary_location":{"id":"doi:10.1007/11571155_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11571155_14","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/A5048527551","display_name":"Chi Seong Park","orcid":null},"institutions":[{"id":"https://openalex.org/I4921948","display_name":"Pusan National University","ror":"https://ror.org/01an57a31","country_code":"KR","type":"education","lineage":["https://openalex.org/I4921948"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Chi Seong Park","raw_affiliation_strings":["Pusan National University, Busan, 609-735, Korea","Pusan National University,Busan,Korea"],"affiliations":[{"raw_affiliation_string":"Pusan National University, Busan, 609-735, Korea","institution_ids":["https://openalex.org/I4921948"]},{"raw_affiliation_string":"Pusan National University,Busan,Korea","institution_ids":["https://openalex.org/I4921948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019931191","display_name":"Mun\u2010Kyu Lee","orcid":"https://orcid.org/0000-0003-4423-7467"},"institutions":[{"id":"https://openalex.org/I191879574","display_name":"Inha University","ror":"https://ror.org/01easw929","country_code":"KR","type":"education","lineage":["https://openalex.org/I191879574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Mun-Kyu Lee","raw_affiliation_strings":["Inha University, Incheon, 402-751, Korea","Inha University Incheon, Korea"],"affiliations":[{"raw_affiliation_string":"Inha University, Incheon, 402-751, Korea","institution_ids":["https://openalex.org/I191879574"]},{"raw_affiliation_string":"Inha University Incheon, Korea","institution_ids":["https://openalex.org/I191879574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079935246","display_name":"Dong Kyue Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I4921948","display_name":"Pusan National University","ror":"https://ror.org/01an57a31","country_code":"KR","type":"education","lineage":["https://openalex.org/I4921948"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dong Kyue Kim","raw_affiliation_strings":["Pusan National University, Busan, 609-735, Korea","Pusan National University,Busan,Korea"],"affiliations":[{"raw_affiliation_string":"Pusan National University, Busan, 609-735, Korea","institution_ids":["https://openalex.org/I4921948"]},{"raw_affiliation_string":"Pusan National University,Busan,Korea","institution_ids":["https://openalex.org/I4921948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048527551"],"corresponding_institution_ids":["https://openalex.org/I4921948"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13460585,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"170","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9980999827384949,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/modular-exponentiation","display_name":"Modular exponentiation","score":0.951873779296875},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.8155453205108643},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.5878677368164062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4442176818847656},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4370333254337311},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4334169924259186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42861711978912354},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4183149039745331},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3699732720851898},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.35584309697151184},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3256983458995819},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.10036629438400269}],"concepts":[{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.951873779296875},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8155453205108643},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.5878677368164062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4442176818847656},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4370333254337311},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4334169924259186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42861711978912354},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4183149039745331},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3699732720851898},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.35584309697151184},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3256983458995819},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.10036629438400269},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11571155_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11571155_14","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1570820619","https://openalex.org/W1981663184","https://openalex.org/W1993204154","https://openalex.org/W1996360405","https://openalex.org/W2108834246","https://openalex.org/W2131132330","https://openalex.org/W2484860292","https://openalex.org/W2752885492","https://openalex.org/W3145128584","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W2292159208","https://openalex.org/W2137988767","https://openalex.org/W2107014706","https://openalex.org/W2076621334","https://openalex.org/W2543318645","https://openalex.org/W1977356083","https://openalex.org/W2351661629","https://openalex.org/W2045682094","https://openalex.org/W3023445585","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"}
