{"id":"https://openalex.org/W2200263712","doi":"https://doi.org/10.1007/978-3-319-06734-6_14","title":"New Speed Records for Montgomery Modular Multiplication on 8-Bit AVR Microcontrollers","display_name":"New Speed Records for Montgomery Modular Multiplication on 8-Bit AVR Microcontrollers","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2200263712","doi":"https://doi.org/10.1007/978-3-319-06734-6_14","mag":"2200263712"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-06734-6_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06734-6_14","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":["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/A5100462347","display_name":"Zhe Liu","orcid":"https://orcid.org/0000-0001-8578-2635"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"Zhe Liu","raw_affiliation_strings":["Laboratory of Algorithmics, Cryptology and Security (LACS), University of Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Laboratory of Algorithmics, Cryptology and Security (LACS), University of Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089125756","display_name":"Johann Gro\u00dfsch\u00e4dl","orcid":"https://orcid.org/0009-0006-3210-3102"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Johann Gro\u00dfsch\u00e4dl","raw_affiliation_strings":["Laboratory of Algorithmics, Cryptology and Security (LACS), University of Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Laboratory of Algorithmics, Cryptology and Security (LACS), University of Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100462347"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":11.0594,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.98965253,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"215","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.9948999881744385,"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":0.9811000227928162,"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/modular-arithmetic","display_name":"Modular arithmetic","score":0.7911091446876526},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.7739143371582031},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7383188009262085},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6472048163414001},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.6235257387161255},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6006535291671753},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5707659721374512},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.5508263111114502},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4987940788269043},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.4740212559700012},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4533696174621582},{"id":"https://openalex.org/keywords/8-bit","display_name":"8-bit","score":0.4158186912536621},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3618828058242798},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.33582013845443726},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.31829020380973816},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.24938780069351196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21383148431777954},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1808387041091919},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.10490405559539795}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.7911091446876526},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.7739143371582031},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7383188009262085},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6472048163414001},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.6235257387161255},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6006535291671753},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5707659721374512},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.5508263111114502},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4987940788269043},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.4740212559700012},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4533696174621582},{"id":"https://openalex.org/C187919765","wikidata":"https://www.wikidata.org/wiki/Q270159","display_name":"8-bit","level":2,"score":0.4158186912536621},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3618828058242798},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.33582013845443726},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.31829020380973816},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.24938780069351196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21383148431777954},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1808387041091919},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.10490405559539795},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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:10.1007/978-3-319-06734-6_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06734-6_14","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":[{"display_name":"Industry, innovation and infrastructure","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W50929040","https://openalex.org/W141690682","https://openalex.org/W200116028","https://openalex.org/W1498685334","https://openalex.org/W1515912344","https://openalex.org/W1536508214","https://openalex.org/W1549779101","https://openalex.org/W1550170577","https://openalex.org/W1567509742","https://openalex.org/W1567573409","https://openalex.org/W1573769949","https://openalex.org/W1603220704","https://openalex.org/W1607006990","https://openalex.org/W1637905077","https://openalex.org/W1649758727","https://openalex.org/W1880212920","https://openalex.org/W1971599357","https://openalex.org/W1996360405","https://openalex.org/W2004814164","https://openalex.org/W2043950313","https://openalex.org/W2045682094","https://openalex.org/W2052435632","https://openalex.org/W2099317248","https://openalex.org/W2134585683","https://openalex.org/W2151163104","https://openalex.org/W2156186849","https://openalex.org/W2324371688","https://openalex.org/W2950340889","https://openalex.org/W4214671568","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W2516936488","https://openalex.org/W2148643256","https://openalex.org/W2041904473","https://openalex.org/W2391510452","https://openalex.org/W889033279","https://openalex.org/W2292159208","https://openalex.org/W2147776414","https://openalex.org/W2384922783","https://openalex.org/W1973319834","https://openalex.org/W2763163854"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}