{"id":"https://openalex.org/W1595695965","doi":"https://doi.org/10.1007/3-540-45600-7_9","title":"Fast Scalar Multiplication on the Jacobian of a Family of Hyperelliptic Curves","display_name":"Fast Scalar Multiplication on the Jacobian of a Family of Hyperelliptic Curves","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1595695965","doi":"https://doi.org/10.1007/3-540-45600-7_9","mag":"1595695965"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45600-7_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45600-7_9","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":"conference-paper","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/A5005731945","display_name":"Fangguo Zhang","orcid":"https://orcid.org/0000-0002-0486-6413"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangguo Zhang","raw_affiliation_strings":["National Key Laboratory on ISN, Xidian University, 710071, Xi\u2019an, People\u2019s Republic of China","National Key Laboratory on ISN, Xidian University, 710071, Xi'an, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory on ISN, Xidian University, 710071, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"National Key Laboratory on ISN, Xidian University, 710071, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027615941","display_name":"Futai Zhang","orcid":"https://orcid.org/0000-0001-8984-1030"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Futai Zhang","raw_affiliation_strings":["National Key Laboratory on ISN, Xidian University, 710071, Xi\u2019an, People\u2019s Republic of China","National Key Laboratory on ISN, Xidian University, 710071, Xi'an, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory on ISN, Xidian University, 710071, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"National Key Laboratory on ISN, Xidian University, 710071, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100624904","display_name":"Yumin Wang","orcid":"https://orcid.org/0000-0001-8243-3659"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yumin Wang","raw_affiliation_strings":["National Key Laboratory on ISN, Xidian University, 710071, Xi\u2019an, People\u2019s Republic of China","National Key Laboratory on ISN, Xidian University, 710071, Xi'an, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory on ISN, Xidian University, 710071, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"National Key Laboratory on ISN, Xidian University, 710071, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"74","last_page":"83"},"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":0.9866999983787537,"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":0.9598000049591064,"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/scalar-multiplication","display_name":"Scalar multiplication","score":0.9565411806106567},{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.8611499071121216},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7786879539489746},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.7075998783111572},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.6827658414840698},{"id":"https://openalex.org/keywords/hyperelliptic-curve-cryptography","display_name":"Hyperelliptic curve cryptography","score":0.6748424172401428},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.48473474383354187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4701687693595886},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.44893747568130493},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43878403306007385},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4143944978713989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4122685492038727},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.39375603199005127},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37105584144592285},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34426623582839966},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.2868279814720154},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2754848003387451},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2613561749458313},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.22020602226257324},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.19886019825935364},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11240458488464355},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.0680074393749237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.062212467193603516}],"concepts":[{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.9565411806106567},{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.8611499071121216},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7786879539489746},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7075998783111572},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.6827658414840698},{"id":"https://openalex.org/C166780011","wikidata":"https://www.wikidata.org/wiki/Q3005926","display_name":"Hyperelliptic curve cryptography","level":5,"score":0.6748424172401428},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48473474383354187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4701687693595886},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.44893747568130493},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43878403306007385},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4143944978713989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4122685492038727},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.39375603199005127},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37105584144592285},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34426623582839966},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.2868279814720154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2754848003387451},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2613561749458313},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.22020602226257324},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.19886019825935364},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11240458488464355},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0680074393749237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.062212467193603516},{"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:10.1007/3-540-45600-7_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45600-7_9","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1491854237","https://openalex.org/W1508193711","https://openalex.org/W1535853723","https://openalex.org/W1584180009","https://openalex.org/W1989258293","https://openalex.org/W1989833770","https://openalex.org/W2003736153","https://openalex.org/W2013383029","https://openalex.org/W2036378739","https://openalex.org/W2069485873","https://openalex.org/W2069512128","https://openalex.org/W2091826091","https://openalex.org/W2573545511","https://openalex.org/W2912690715","https://openalex.org/W4237505298","https://openalex.org/W4245047333","https://openalex.org/W4251630068","https://openalex.org/W4285719527","https://openalex.org/W4292508377"],"related_works":["https://openalex.org/W1504840848","https://openalex.org/W2390281381","https://openalex.org/W2096576446","https://openalex.org/W2406311322","https://openalex.org/W3140630188","https://openalex.org/W2340692397","https://openalex.org/W4289740039","https://openalex.org/W2069724988","https://openalex.org/W1595695965","https://openalex.org/W2408748176"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
