{"id":"https://openalex.org/W1930064779","doi":"https://doi.org/10.1007/978-3-540-69499-1_1","title":"Interpolation of the Double Discrete Logarithm","display_name":"Interpolation of the Double Discrete Logarithm","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1930064779","doi":"https://doi.org/10.1007/978-3-540-69499-1_1","mag":"1930064779"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-69499-1_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69499-1_1","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/A5010972597","display_name":"Gerasimos C. Meletiou","orcid":"https://orcid.org/0000-0002-8831-9934"},"institutions":[{"id":"https://openalex.org/I4210159397","display_name":"Technological Educational Institute of Epirus","ror":"https://ror.org/04brn7x66","country_code":"GR","type":"education","lineage":["https://openalex.org/I4210159397"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Gerasimos C. Meletiou","raw_affiliation_strings":["A.T.E.I. of Epirus, P.O. Box 110, GR 47100, Arta, Greece","A.T.E.I. of Epirus, Arta, Greece GR 47100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"A.T.E.I. of Epirus, P.O. Box 110, GR 47100, Arta, Greece","institution_ids":["https://openalex.org/I4210159397"]},{"raw_affiliation_string":"A.T.E.I. of Epirus, Arta, Greece GR 47100#TAB#","institution_ids":["https://openalex.org/I4210159397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056642780","display_name":"Arne Winterhof","orcid":"https://orcid.org/0000-0002-3863-1110"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Arne Winterhof","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria 4040#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria 4040#TAB#","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0072,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73976237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9993000030517578,"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":0.9972000122070312,"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/discrete-logarithm","display_name":"Discrete logarithm","score":0.9556861519813538},{"id":"https://openalex.org/keywords/iterated-logarithm","display_name":"Iterated logarithm","score":0.7083786725997925},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6862486600875854},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6175076961517334},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.580910325050354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.564135730266571},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.5265206098556519},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48944106698036194},{"id":"https://openalex.org/keywords/multiplicative-group","display_name":"Multiplicative group","score":0.47122183442115784},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4678661823272705},{"id":"https://openalex.org/keywords/post-quantum-cryptography","display_name":"Post-quantum cryptography","score":0.44641223549842834},{"id":"https://openalex.org/keywords/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.44502943754196167},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4302403926849365},{"id":"https://openalex.org/keywords/counting-points-on-elliptic-curves","display_name":"Counting points on elliptic curves","score":0.42233407497406006},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.3452669680118561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3359467387199402},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.2904815673828125},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.24680200219154358},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24309295415878296},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2149016559123993},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.17285239696502686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10456898808479309}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.9556861519813538},{"id":"https://openalex.org/C130594498","wikidata":"https://www.wikidata.org/wiki/Q2028293","display_name":"Iterated logarithm","level":3,"score":0.7083786725997925},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6862486600875854},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6175076961517334},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.580910325050354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.564135730266571},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.5265206098556519},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48944106698036194},{"id":"https://openalex.org/C92788228","wikidata":"https://www.wikidata.org/wiki/Q3777923","display_name":"Multiplicative group","level":3,"score":0.47122183442115784},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4678661823272705},{"id":"https://openalex.org/C108277079","wikidata":"https://www.wikidata.org/wiki/Q7233576","display_name":"Post-quantum cryptography","level":4,"score":0.44641223549842834},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.44502943754196167},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4302403926849365},{"id":"https://openalex.org/C68782407","wikidata":"https://www.wikidata.org/wiki/Q5177153","display_name":"Counting points on elliptic curves","level":5,"score":0.42233407497406006},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.3452669680118561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3359467387199402},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.2904815673828125},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.24680200219154358},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24309295415878296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2149016559123993},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.17285239696502686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10456898808479309},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-69499-1_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69499-1_1","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":50,"referenced_works":["https://openalex.org/W109915809","https://openalex.org/W197225732","https://openalex.org/W574604760","https://openalex.org/W962054662","https://openalex.org/W1486898453","https://openalex.org/W1498734445","https://openalex.org/W1503140737","https://openalex.org/W1505183389","https://openalex.org/W1506292197","https://openalex.org/W1508193711","https://openalex.org/W1512914916","https://openalex.org/W1518612534","https://openalex.org/W1520301537","https://openalex.org/W1538706266","https://openalex.org/W1551926475","https://openalex.org/W1574149717","https://openalex.org/W1577274403","https://openalex.org/W1587945298","https://openalex.org/W1591996813","https://openalex.org/W1837145606","https://openalex.org/W1977461155","https://openalex.org/W1978262582","https://openalex.org/W1979198198","https://openalex.org/W1992619159","https://openalex.org/W1998865180","https://openalex.org/W2006337912","https://openalex.org/W2015126714","https://openalex.org/W2037158836","https://openalex.org/W2049875011","https://openalex.org/W2067307917","https://openalex.org/W2068167225","https://openalex.org/W2069148963","https://openalex.org/W2075252632","https://openalex.org/W2078361794","https://openalex.org/W2090900392","https://openalex.org/W2092337953","https://openalex.org/W2117672015","https://openalex.org/W2121176021","https://openalex.org/W2121265761","https://openalex.org/W2128718974","https://openalex.org/W2132568991","https://openalex.org/W2150976957","https://openalex.org/W2162057723","https://openalex.org/W2493671158","https://openalex.org/W2503514047","https://openalex.org/W2527113450","https://openalex.org/W3043060850","https://openalex.org/W4236843783","https://openalex.org/W4242424230","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1576069665","https://openalex.org/W2904765321","https://openalex.org/W2385203635","https://openalex.org/W19531220","https://openalex.org/W2178481614","https://openalex.org/W2115373027","https://openalex.org/W2356369039","https://openalex.org/W2387862062","https://openalex.org/W1930064779","https://openalex.org/W1835682632"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}