{"id":"https://openalex.org/W2330347957","doi":"https://doi.org/10.1007/s00145-016-9227-7","title":"Jacobian Coordinates on Genus 2 Curves","display_name":"Jacobian Coordinates on Genus 2 Curves","publication_year":2016,"publication_date":"2016-03-15","ids":{"openalex":"https://openalex.org/W2330347957","doi":"https://doi.org/10.1007/s00145-016-9227-7","mag":"2330347957"},"language":"en","primary_location":{"id":"doi:10.1007/s00145-016-9227-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00145-016-9227-7","pdf_url":null,"source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-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/A5071064963","display_name":"H\u00fcseyin H\u0131\u015f\u0131l","orcid":"https://orcid.org/0000-0002-1019-2187"},"institutions":[{"id":"https://openalex.org/I59944920","display_name":"Ya\u015far University","ror":"https://ror.org/00dz1eb96","country_code":"TR","type":"education","lineage":["https://openalex.org/I59944920"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Huseyin Hisil","raw_affiliation_strings":["Yasar University, Izmir, Turkey"],"affiliations":[{"raw_affiliation_string":"Yasar University, Izmir, Turkey","institution_ids":["https://openalex.org/I59944920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012881701","display_name":"Craig Costello","orcid":"https://orcid.org/0000-0001-5423-7714"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Craig Costello","raw_affiliation_strings":["Microsoft Research, Redmond, WA, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071064963"],"corresponding_institution_ids":["https://openalex.org/I59944920"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.0768,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89526436,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"2","first_page":"572","last_page":"600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9937000274658203,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9684000015258789,"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":0.7524126768112183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7307397127151489},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7242911458015442},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5259958505630493},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5252525210380554},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.44633564352989197},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4363982677459717},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.43266913294792175},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4109342694282532},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36764270067214966},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.332877516746521},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2348819375038147},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16539251804351807},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14411106705665588}],"concepts":[{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.7524126768112183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7307397127151489},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7242911458015442},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5259958505630493},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5252525210380554},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.44633564352989197},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4363982677459717},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.43266913294792175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4109342694282532},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36764270067214966},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.332877516746521},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2348819375038147},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16539251804351807},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14411106705665588},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00145-016-9227-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00145-016-9227-7","pdf_url":null,"source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W101238618","https://openalex.org/W203192885","https://openalex.org/W1521010921","https://openalex.org/W1523293662","https://openalex.org/W1523814493","https://openalex.org/W1531102506","https://openalex.org/W1543173858","https://openalex.org/W1596013679","https://openalex.org/W1596927786","https://openalex.org/W1758781646","https://openalex.org/W1761705715","https://openalex.org/W1957825227","https://openalex.org/W1964311183","https://openalex.org/W1971605365","https://openalex.org/W1976677460","https://openalex.org/W2003736153","https://openalex.org/W2008876968","https://openalex.org/W2009129512","https://openalex.org/W2036378739","https://openalex.org/W2058959764","https://openalex.org/W2092179607","https://openalex.org/W2106283808","https://openalex.org/W2129089669","https://openalex.org/W2153226320","https://openalex.org/W2154290215","https://openalex.org/W2192787805","https://openalex.org/W2226566141","https://openalex.org/W2404365912","https://openalex.org/W2406311322","https://openalex.org/W2912690715","https://openalex.org/W2949850955","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2408348079","https://openalex.org/W2034604290","https://openalex.org/W2867317277","https://openalex.org/W2078886092","https://openalex.org/W1576294153","https://openalex.org/W2362283711","https://openalex.org/W2002792918","https://openalex.org/W2360049128","https://openalex.org/W1485234189","https://openalex.org/W4386773944"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
