{"id":"https://openalex.org/W1799100386","doi":"https://doi.org/10.1007/978-3-540-72504-6_17","title":"New Left-to-Right Radix-r Signed-Digit Recoding Algorithm for Pairing-Based Cryptosystems","display_name":"New Left-to-Right Radix-r Signed-Digit Recoding Algorithm for Pairing-Based Cryptosystems","publication_year":2007,"publication_date":"2007-07-22","ids":{"openalex":"https://openalex.org/W1799100386","doi":"https://doi.org/10.1007/978-3-540-72504-6_17","mag":"1799100386"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-72504-6_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72504-6_17","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/A5055476237","display_name":"Fanyu Kong","orcid":"https://orcid.org/0000-0003-1369-6855"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fanyu Kong","raw_affiliation_strings":["Institute of Network Security, Shandong University, 27 Shanda Nanlu Road, Jinan 250100, China","Key Laboratory of Cryptographic Technology and Information Security, Ministry, of Education, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"Institute of Network Security, Shandong University, 27 Shanda Nanlu Road, Jinan 250100, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Key Laboratory of Cryptographic Technology and Information Security, Ministry, of Education, Jinan 250100, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056578494","display_name":"Jia Yu","orcid":"https://orcid.org/0000-0002-0574-7803"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia Yu","raw_affiliation_strings":["College of Information Engineering, Qingdao University, Qingdao 266071, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Qingdao University, Qingdao 266071, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112307212","display_name":"Zhun Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhun Cai","raw_affiliation_strings":["Institute of Network Security, Shandong University, 27 Shanda Nanlu Road, Jinan 250100, China","Key Laboratory of Cryptographic Technology and Information Security, Ministry, of Education, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"Institute of Network Security, Shandong University, 27 Shanda Nanlu Road, Jinan 250100, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Key Laboratory of Cryptographic Technology and Information Security, Ministry, of Education, Jinan 250100, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084034787","display_name":"Daxing Li","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]},{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daxing Li","raw_affiliation_strings":["Institute of Network Security, Shandong University, 27 Shanda Nanlu Road, Jinan 250100, China","Key Laboratory of Cryptographic Technology and Information Security, Ministry, of Education, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"Institute of Network Security, Shandong University, 27 Shanda Nanlu Road, Jinan 250100, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Key Laboratory of Cryptographic Technology and Information Security, Ministry, of Education, Jinan 250100, China","institution_ids":["https://openalex.org/I4210132990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055476237"],"corresponding_institution_ids":["https://openalex.org/I154099455","https://openalex.org/I4210132990"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3716,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67339873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"189","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9976000189781189,"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/T10237","display_name":"Cryptography and Data Security","score":0.9926000237464905,"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/pairing","display_name":"Pairing","score":0.792002260684967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7042000889778137},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6748644113540649},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.6422030925750732},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5986318588256836},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5915541052818298},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.5181771516799927},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.5043710470199585},{"id":"https://openalex.org/keywords/numerical-digit","display_name":"Numerical digit","score":0.4947611689567566},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.4810121953487396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4145081043243408},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35030025243759155},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.26450860500335693},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25006645917892456},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2397691011428833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05725923180580139}],"concepts":[{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.792002260684967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7042000889778137},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6748644113540649},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.6422030925750732},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5986318588256836},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5915541052818298},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.5181771516799927},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.5043710470199585},{"id":"https://openalex.org/C94957134","wikidata":"https://www.wikidata.org/wiki/Q82990","display_name":"Numerical digit","level":2,"score":0.4947611689567566},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.4810121953487396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4145081043243408},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35030025243759155},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.26450860500335693},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25006645917892456},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2397691011428833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05725923180580139},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-72504-6_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72504-6_17","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":36,"referenced_works":["https://openalex.org/W1495266644","https://openalex.org/W1507106163","https://openalex.org/W1507575253","https://openalex.org/W1511374591","https://openalex.org/W1518871948","https://openalex.org/W1523293662","https://openalex.org/W1526011068","https://openalex.org/W1532836984","https://openalex.org/W1535504912","https://openalex.org/W1577074339","https://openalex.org/W1579384516","https://openalex.org/W1584913488","https://openalex.org/W1610688607","https://openalex.org/W1637905077","https://openalex.org/W1989258293","https://openalex.org/W2026445983","https://openalex.org/W2032767749","https://openalex.org/W2089047336","https://openalex.org/W2089642281","https://openalex.org/W2092361898","https://openalex.org/W2099317248","https://openalex.org/W2099453672","https://openalex.org/W2131956626","https://openalex.org/W2134516468","https://openalex.org/W2137393540","https://openalex.org/W2152924492","https://openalex.org/W2476332689","https://openalex.org/W2477011922","https://openalex.org/W2486408843","https://openalex.org/W2493671158","https://openalex.org/W2497843319","https://openalex.org/W2561675875","https://openalex.org/W2624923838","https://openalex.org/W2770583616","https://openalex.org/W4230265636","https://openalex.org/W4246188348"],"related_works":["https://openalex.org/W3138493780","https://openalex.org/W2121110380","https://openalex.org/W1921672120","https://openalex.org/W1851253658","https://openalex.org/W2559355736","https://openalex.org/W4245179206","https://openalex.org/W1591034480","https://openalex.org/W2403854924","https://openalex.org/W3211097549","https://openalex.org/W2613818326"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
