{"id":"https://openalex.org/W2031636522","doi":"https://doi.org/10.1016/s1571-0653(04)00202-1","title":"Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions","display_name":"Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2031636522","doi":"https://doi.org/10.1016/s1571-0653(04)00202-1","mag":"2031636522"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0653(04)00202-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00202-1","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Discrete Mathematics","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/A5016164029","display_name":"Tanja Lange","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tanja Lange","raw_affiliation_strings":["Institute of Experimental Mathematics, University of Essen, Ellernstr. 29, D-45326 Essen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Experimental Mathematics, University of Essen, Ellernstr. 29, D-45326 Essen, Germany","institution_ids":[]}]},{"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"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Arne Winterhof","raw_affiliation_strings":["Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19/2, A-1010 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19/2, A-1010 Wien, Austria","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016164029","https://openalex.org/A5056642780"],"corresponding_institution_ids":["https://openalex.org/I138211613"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.5848,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79485539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"498","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9962999820709229,"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/mathematics","display_name":"Mathematics","score":0.8429869413375854},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.8337037563323975},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.7746086716651917},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5737252831459045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5152966976165771},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5043567419052124},{"id":"https://openalex.org/keywords/iterated-logarithm","display_name":"Iterated logarithm","score":0.501889705657959},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.47155189514160156},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.45286649465560913},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.4278259873390198},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3418114185333252},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25641247630119324},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1298392117023468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07072010636329651}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8429869413375854},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.8337037563323975},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.7746086716651917},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5737252831459045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5152966976165771},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5043567419052124},{"id":"https://openalex.org/C130594498","wikidata":"https://www.wikidata.org/wiki/Q2028293","display_name":"Iterated logarithm","level":3,"score":0.501889705657959},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.47155189514160156},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.45286649465560913},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.4278259873390198},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3418114185333252},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25641247630119324},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1298392117023468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07072010636329651},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","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},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s1571-0653(04)00202-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00202-1","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/7b3bf7e3-81c1-40a9-a29d-b0cc5c1f1824","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/7b3bf7e3-81c1-40a9-a29d-b0cc5c1f1824","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lange, T & Winterhof, A 2001, Interpolation of the discrete logarithm in finite fields by Boolean functions. in D Augot & C Carlet (eds), Proceedings International Workshop on Coding and Cryptography (WCC 2001, Paris, France, January 8-12, 2001). Electronic Notes in Discrete Mathematics, vol. 6, pp. 498-506. https://doi.org/10.1016/S1571-0653(04)00202-1","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:tue:oai:pure.tue.nl:publications/7b3bf7e3-81c1-40a9-a29d-b0cc5c1f1824","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/7b3bf7e3-81c1-40a9-a29d-b0cc5c1f1824","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings International Workshop on Coding and Cryptography (WCC 2001, Paris, France, January 8-12, 2001), 498 - 506","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W962054662","https://openalex.org/W1498993177","https://openalex.org/W1572767128","https://openalex.org/W1591996813","https://openalex.org/W1978262582","https://openalex.org/W2006337912","https://openalex.org/W2055144305","https://openalex.org/W2069148963","https://openalex.org/W2091826091","https://openalex.org/W2111310412","https://openalex.org/W2505065913","https://openalex.org/W2613956024","https://openalex.org/W2798742957","https://openalex.org/W3043060850","https://openalex.org/W4230398518","https://openalex.org/W4232558707","https://openalex.org/W6629765602","https://openalex.org/W6673505036"],"related_works":["https://openalex.org/W2893614166","https://openalex.org/W1597678101","https://openalex.org/W1490994218","https://openalex.org/W2117672015","https://openalex.org/W2514478013","https://openalex.org/W7780975","https://openalex.org/W2356369039","https://openalex.org/W2949738106","https://openalex.org/W2161664453","https://openalex.org/W1541224886"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}