{"id":"https://openalex.org/W1845108744","doi":"https://doi.org/10.1007/11496618_13","title":"Efficient Computation of Tate Pairing in Projective Coordinate over General Characteristic Fields","display_name":"Efficient Computation of Tate Pairing in Projective Coordinate over General Characteristic Fields","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1845108744","doi":"https://doi.org/10.1007/11496618_13","mag":"1845108744"},"language":"en","primary_location":{"id":"doi:10.1007/11496618_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11496618_13","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/A5103908201","display_name":"Sanjit Chatterjee","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sanjit Chatterjee","raw_affiliation_strings":["Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036784831","display_name":"Palash Sarkar","orcid":"https://orcid.org/0000-0002-5346-2650"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Palash Sarkar","raw_affiliation_strings":["Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055595860","display_name":"Rana Barua","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rana Barua","raw_affiliation_strings":["Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700 108, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2504,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.79444189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"168","last_page":"181"},"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":0.9941999912261963,"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":0.9902999997138977,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7656813263893127},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7583562135696411},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7560350894927979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7270486950874329},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.6624239683151245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5153312087059021},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4859708547592163},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.46031802892684937},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3572089970111847},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3359418213367462},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2654605507850647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23145130276679993}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7656813263893127},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7583562135696411},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7560350894927979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7270486950874329},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.6624239683151245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5153312087059021},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4859708547592163},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.46031802892684937},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3572089970111847},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3359418213367462},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2654605507850647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23145130276679993},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11496618_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11496618_13","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:CiteSeerX.psu:10.1.1.484.5519","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.484.5519","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.isical.ac.in/~rana/icisc04.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W68013446","https://openalex.org/W1507575253","https://openalex.org/W1518871948","https://openalex.org/W1532836984","https://openalex.org/W1537065876","https://openalex.org/W1563272506","https://openalex.org/W1637905077","https://openalex.org/W1801647650","https://openalex.org/W1880212920","https://openalex.org/W2086042811","https://openalex.org/W2111310412","https://openalex.org/W2128718974","https://openalex.org/W2148342001","https://openalex.org/W2158553589","https://openalex.org/W2476332689","https://openalex.org/W2477011922","https://openalex.org/W2491158310","https://openalex.org/W2497843319","https://openalex.org/W2506807467","https://openalex.org/W4244717346"],"related_works":["https://openalex.org/W1608806855","https://openalex.org/W2023505575","https://openalex.org/W1850053445","https://openalex.org/W1578204257","https://openalex.org/W2313503008","https://openalex.org/W2047588290","https://openalex.org/W3095555187","https://openalex.org/W1972912085","https://openalex.org/W1508832769","https://openalex.org/W1845108744"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
