{"id":"https://openalex.org/W2117094292","doi":"https://doi.org/10.1109/isecs.2008.34","title":"Improved Algorithm for Tate Pairing Computation","display_name":"Improved Algorithm for Tate Pairing Computation","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2117094292","doi":"https://doi.org/10.1109/isecs.2008.34","mag":"2117094292"},"language":"en","primary_location":{"id":"doi:10.1109/isecs.2008.34","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isecs.2008.34","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Symposium on Electronic Commerce and Security","raw_type":"proceedings-article"},"type":"article","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/A5058850746","display_name":"Ting Wu","orcid":"https://orcid.org/0000-0001-5102-1934"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ting Wu","raw_affiliation_strings":["College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","College of Computer, Hangzhou Dianzi University, Hangzhou"],"affiliations":[{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100402925","display_name":"Min Zhang","orcid":"https://orcid.org/0000-0002-6059-3798"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Zhang","raw_affiliation_strings":["College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","College of Computer, Hangzhou Dianzi University, Hangzhou"],"affiliations":[{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063412515","display_name":"Xiaoliang Xu","orcid":"https://orcid.org/0000-0001-8040-6809"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoliang Xu","raw_affiliation_strings":["College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","College of Computer, Hangzhou Dianzi University, Hangzhou"],"affiliations":[{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103135659","display_name":"Rongbo Wang","orcid":"https://orcid.org/0000-0003-1637-2004"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rongbo Wang","raw_affiliation_strings":["College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","College of Computer, Hangzhou Dianzi University, Hangzhou"],"affiliations":[{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"College of Computer, Hangzhou Dianzi University, Hangzhou","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058850746"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13028647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2139","issue":null,"first_page":"41","last_page":"45"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9868000149726868,"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/T11130","display_name":"Coding theory and cryptography","score":0.982699990272522,"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":0.7883273959159851},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.73321533203125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6323515176773071},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6127980947494507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5821006298065186},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5203382968902588},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5043812990188599},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38423952460289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2623654007911682},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12937325239181519}],"concepts":[{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.7883273959159851},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.73321533203125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6323515176773071},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6127980947494507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5821006298065186},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5203382968902588},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5043812990188599},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38423952460289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2623654007911682},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12937325239181519},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isecs.2008.34","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isecs.2008.34","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Symposium on Electronic Commerce and Security","raw_type":"proceedings-article"}],"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/W1532836984","https://openalex.org/W1610688607","https://openalex.org/W1637905077","https://openalex.org/W1880212920","https://openalex.org/W2010195730","https://openalex.org/W2065654144","https://openalex.org/W2152924492"],"related_works":["https://openalex.org/W3015473028","https://openalex.org/W3201176751","https://openalex.org/W1993094293","https://openalex.org/W2029180842","https://openalex.org/W2024971119","https://openalex.org/W2057898405","https://openalex.org/W2953807518","https://openalex.org/W2809157142","https://openalex.org/W2037023988","https://openalex.org/W4298824844"],"abstract_inverted_index":{"In":[0],"this":[1,38,50],"paper,":[2],"an":[3],"efficient":[4],"algorithm":[5,51],"for":[6],"the":[7,22,26],"computation":[8],"of":[9,25],"Tate":[10],"pairing":[11],"on":[12,44],"general":[13],"curves":[14],"is":[15,19],"presented.":[16],"Our":[17],"approach":[18],"to":[20,29,40],"change":[21],"binary":[23],"representation":[24],"involved":[27],"integer":[28],"its":[30,45],"non-adjacent":[31],"form":[32,39],"at":[33],"first,":[34],"and":[35,57],"then":[36],"pre-organize":[37],"make":[41],"further":[42],"improvement":[43],"efficiency.":[46],"We":[47],"also":[48],"show":[49],"has":[52],"better":[53],"performance":[54],"than":[55],"BMX":[56],"LHC":[58],"algorithms.":[59]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
