{"id":"https://openalex.org/W1567827026","doi":"https://doi.org/10.1007/978-3-642-17455-1_18","title":"Encoding Points on Hyperelliptic Curves over Finite Fields in Deterministic Polynomial Time","display_name":"Encoding Points on Hyperelliptic Curves over Finite Fields in Deterministic Polynomial Time","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1567827026","doi":"https://doi.org/10.1007/978-3-642-17455-1_18","mag":"1567827026"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-17455-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-17455-1_18","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1005.1454","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034275193","display_name":"Jean-Gabriel Kammerer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107416","display_name":"Roche (France)","ror":"https://ror.org/01mqmer16","country_code":"FR","type":"company","lineage":["https://openalex.org/I118019719","https://openalex.org/I4210107416"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I4210109443","display_name":"Institut de Physique de Rennes","ror":"https://ror.org/022b0h879","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210098836","https://openalex.org/I4210109443","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Gabriel Kammerer","raw_affiliation_strings":["Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, F-35042, Rennes Cedex, France","La Roche Marguerite, DGA MI, F-35174, Bruz Cedex, France","La Roche Marguerite, DGA MI, Bruz Cedex, France","Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Rennes Cedex, France"],"affiliations":[{"raw_affiliation_string":"Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, F-35042, Rennes Cedex, France","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802","https://openalex.org/I4210109443"]},{"raw_affiliation_string":"La Roche Marguerite, DGA MI, F-35174, Bruz Cedex, France","institution_ids":["https://openalex.org/I4210107416"]},{"raw_affiliation_string":"La Roche Marguerite, DGA MI, Bruz Cedex, France","institution_ids":["https://openalex.org/I4210107416"]},{"raw_affiliation_string":"Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Rennes Cedex, France","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108684067","display_name":"Reynald Lercier","orcid":null},"institutions":[{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]},{"id":"https://openalex.org/I4210107416","display_name":"Roche (France)","ror":"https://ror.org/01mqmer16","country_code":"FR","type":"company","lineage":["https://openalex.org/I118019719","https://openalex.org/I4210107416"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I4210109443","display_name":"Institut de Physique de Rennes","ror":"https://ror.org/022b0h879","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210098836","https://openalex.org/I4210109443","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Reynald Lercier","raw_affiliation_strings":["Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, F-35042, Rennes Cedex, France","La Roche Marguerite, DGA MI, F-35174, Bruz Cedex, France","La Roche Marguerite, DGA MI, Bruz Cedex, France","Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Rennes Cedex, France"],"affiliations":[{"raw_affiliation_string":"Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, F-35042, Rennes Cedex, France","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802","https://openalex.org/I4210109443"]},{"raw_affiliation_string":"La Roche Marguerite, DGA MI, F-35174, Bruz Cedex, France","institution_ids":["https://openalex.org/I4210107416"]},{"raw_affiliation_string":"La Roche Marguerite, DGA MI, Bruz Cedex, France","institution_ids":["https://openalex.org/I4210107416"]},{"raw_affiliation_string":"Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Rennes Cedex, France","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085614648","display_name":"Gu\u00e9na\u00ebl Renault","orcid":"https://orcid.org/0000-0002-7050-9975"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gu\u00e9na\u00ebl Renault","raw_affiliation_strings":["INRIA/LIP6 SALSA Project-Team, LIP6, Universit\u00e9 Pierre et Marie Curie, Boite courrier 169, 4 place Jussieu, F-75252, Paris Cedex 05, France","INRIA/LIP6 SALSA Project-Team, LIP6, Universit\u00e9 Pierre et Marie Curie, Paris Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"INRIA/LIP6 SALSA Project-Team, LIP6, Universit\u00e9 Pierre et Marie Curie, Boite courrier 169, 4 place Jussieu, F-75252, Paris Cedex 05, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA/LIP6 SALSA Project-Team, LIP6, Universit\u00e9 Pierre et Marie Curie, Paris Cedex 05, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034275193"],"corresponding_institution_ids":["https://openalex.org/I4210107416","https://openalex.org/I4210109443","https://openalex.org/I4210161663","https://openalex.org/I56067802"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.4723,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.93708041,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"278","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9994000196456909,"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":0.9990000128746033,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.6593644618988037},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6404201984405518},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.6286441087722778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5339791774749756},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.5290533304214478},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.5033699870109558},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.45836174488067627},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44487446546554565},{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.44472232460975647},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.41835853457450867},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40023073554039},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32317501306533813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31085801124572754},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2535538673400879}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6593644618988037},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6404201984405518},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.6286441087722778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5339791774749756},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5290533304214478},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.5033699870109558},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.45836174488067627},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44487446546554565},{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.44472232460975647},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.41835853457450867},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40023073554039},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32317501306533813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31085801124572754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2535538673400879},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"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":3,"locations":[{"id":"doi:10.1007/978-3-642-17455-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-17455-1_18","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"},{"id":"pmh:oai:arXiv.org:1005.1454","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.1454","pdf_url":"https://arxiv.org/pdf/1005.1454","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00694136v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00694136","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PAIRING 2010 - 4th International Conference on Pairing-Based Cryptography, Dec 2010, Ishikawa, Japan. pp.278-297, &#x27E8;10.1007/978-3-642-17455-1_18&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1005.1454","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.1454","pdf_url":"https://arxiv.org/pdf/1005.1454","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1487143383","https://openalex.org/W1488467418","https://openalex.org/W1518147993","https://openalex.org/W1550148117","https://openalex.org/W1554056251","https://openalex.org/W1595728311","https://openalex.org/W1970580817","https://openalex.org/W1976677460","https://openalex.org/W2080206293","https://openalex.org/W2086042811","https://openalex.org/W2131559681","https://openalex.org/W2152924492","https://openalex.org/W2325121963","https://openalex.org/W2963396100","https://openalex.org/W3029001533","https://openalex.org/W4256430757"],"related_works":["https://openalex.org/W2036498772","https://openalex.org/W2472230317","https://openalex.org/W179888710","https://openalex.org/W2093205513","https://openalex.org/W3030838777","https://openalex.org/W2325994365","https://openalex.org/W2139917777","https://openalex.org/W2167207265","https://openalex.org/W2918820055","https://openalex.org/W2142045713"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"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},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
