{"id":"https://openalex.org/W1499375735","doi":"https://doi.org/10.1007/978-3-540-24587-2_74","title":"Unfolded Modular Multiplication","display_name":"Unfolded Modular Multiplication","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1499375735","doi":"https://doi.org/10.1007/978-3-540-24587-2_74","mag":"1499375735"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24587-2_74","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24587-2_74","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/A5007652664","display_name":"Wieland Fischer","orcid":null},"institutions":[{"id":"https://openalex.org/I137594350","display_name":"Infineon Technologies (Germany)","ror":"https://ror.org/005kw6t15","country_code":"DE","type":"company","lineage":["https://openalex.org/I137594350"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wieland Fischer","raw_affiliation_strings":["Infineon Technologies, Secure Mobile Solutions, Munich, Germany","Infineon Technologies, Secure Mobile Solutions"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Infineon Technologies, Secure Mobile Solutions, Munich, Germany","institution_ids":["https://openalex.org/I137594350"]},{"raw_affiliation_string":"Infineon Technologies, Secure Mobile Solutions","institution_ids":["https://openalex.org/I137594350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001159554","display_name":"Jean\u2010Pierre Seifert","orcid":"https://orcid.org/0000-0002-5372-4825"},"institutions":[{"id":"https://openalex.org/I137594350","display_name":"Infineon Technologies (Germany)","ror":"https://ror.org/005kw6t15","country_code":"DE","type":"company","lineage":["https://openalex.org/I137594350"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jean-Pierre Seifert","raw_affiliation_strings":["Infineon Technologies, Secure Mobile Solutions, Munich, Germany","Infineon Technologies, Secure Mobile Solutions"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Infineon Technologies, Secure Mobile Solutions, Munich, Germany","institution_ids":["https://openalex.org/I137594350"]},{"raw_affiliation_string":"Infineon Technologies, Secure Mobile Solutions","institution_ids":["https://openalex.org/I137594350"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I137594350"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"726","last_page":"735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"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":0.9991000294685364,"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":0.996399998664856,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/modular-arithmetic","display_name":"Modular arithmetic","score":0.8264901638031006},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7018553614616394},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6773939728736877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5896681547164917},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5550438165664673},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.5435227751731873},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5220298767089844},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.5138023495674133},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.44439077377319336},{"id":"https://openalex.org/keywords/modular-form","display_name":"Modular form","score":0.4355061948299408},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34970927238464355},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34671756625175476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2979161739349365},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1258370280265808},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08974921703338623},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08687585592269897}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.8264901638031006},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7018553614616394},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6773939728736877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5896681547164917},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5550438165664673},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.5435227751731873},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5220298767089844},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.5138023495674133},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.44439077377319336},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.4355061948299408},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34970927238464355},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34671756625175476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2979161739349365},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1258370280265808},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08974921703338623},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08687585592269897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-24587-2_74","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24587-2_74","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":21,"referenced_works":["https://openalex.org/W19328048","https://openalex.org/W36802666","https://openalex.org/W152862834","https://openalex.org/W1509238864","https://openalex.org/W1528464616","https://openalex.org/W1573824426","https://openalex.org/W1587217691","https://openalex.org/W1644344319","https://openalex.org/W1996360405","https://openalex.org/W2026445983","https://openalex.org/W2035759188","https://openalex.org/W2046404735","https://openalex.org/W2052363354","https://openalex.org/W2137393540","https://openalex.org/W2484860292","https://openalex.org/W2495611469","https://openalex.org/W2496045601","https://openalex.org/W2561675875","https://openalex.org/W2912759893","https://openalex.org/W4232836212","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2113213955","https://openalex.org/W2225983048","https://openalex.org/W2016520453","https://openalex.org/W2372139915","https://openalex.org/W2361290373","https://openalex.org/W2041380856","https://openalex.org/W2367658296","https://openalex.org/W2904069009","https://openalex.org/W1981695891","https://openalex.org/W2355149595"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}