{"id":"https://openalex.org/W1992130569","doi":"https://doi.org/10.1109/tcad.2014.2387866","title":"Secure and Efficient Architectures for Single Exponentiations in Finite Fields Suitable for High-Performance Cryptographic Applications","display_name":"Secure and Efficient Architectures for Single Exponentiations in Finite Fields Suitable for High-Performance Cryptographic Applications","publication_year":2015,"publication_date":"2015-01-06","ids":{"openalex":"https://openalex.org/W1992130569","doi":"https://doi.org/10.1109/tcad.2014.2387866","mag":"1992130569"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2014.2387866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2014.2387866","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","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/A5064156050","display_name":"Reza Azarderakhsh","orcid":"https://orcid.org/0000-0002-6921-6868"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Reza Azarderakhsh","raw_affiliation_strings":["Department of Computer Engineering, Rochester Institute of Technology, Rochester, NY, USA","[Dept. of Comput. Eng., Rochester Inst. of Technol., Rochester, NY, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Rochester Institute of Technology, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"[Dept. of Comput. Eng., Rochester Inst. of Technol., Rochester, NY, USA]","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025872285","display_name":"Mehran Mozaffari Kermani","orcid":"https://orcid.org/0000-0003-4513-3109"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehran Mozaffari-Kermani","raw_affiliation_strings":["Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, Rochester, NY, USA","Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, Rochester, NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, Rochester, NY, USA#TAB#","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047924673","display_name":"Kimmo J\u00e4rvinen","orcid":"https://orcid.org/0000-0001-8012-2881"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Kimmo Ja\u0308rvinen","raw_affiliation_strings":["Department of Information and Computer Science, Aalto University, Espoo, Finland#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Information and Computer Science, Aalto University, Espoo, Finland#TAB#","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064156050"],"corresponding_institution_ids":["https://openalex.org/I155173764"],"apc_list":null,"apc_paid":null,"fwci":3.973,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.93931369,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"3","first_page":"332","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9975000023841858,"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/exponentiation","display_name":"Exponentiation","score":0.8676551580429077},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.8000679016113281},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.619238555431366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6157776117324829},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5881309509277344},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.5709077715873718},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5125272274017334},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.49761489033699036},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47964411973953247},{"id":"https://openalex.org/keywords/power-analysis","display_name":"Power analysis","score":0.4541378617286682},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.32721590995788574},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.31712859869003296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28602999448776245},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.2752199172973633},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.25533950328826904},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25316309928894043},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.23340371251106262},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14825502038002014},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1377955675125122}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8676551580429077},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.8000679016113281},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.619238555431366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6157776117324829},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5881309509277344},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.5709077715873718},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5125272274017334},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.49761489033699036},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47964411973953247},{"id":"https://openalex.org/C71743495","wikidata":"https://www.wikidata.org/wiki/Q2845210","display_name":"Power analysis","level":3,"score":0.4541378617286682},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.32721590995788574},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.31712859869003296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28602999448776245},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2752199172973633},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.25533950328826904},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25316309928894043},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.23340371251106262},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14825502038002014},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1377955675125122},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":3,"locations":[{"id":"doi:10.1109/tcad.2014.2387866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2014.2387866","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"},{"id":"pmh:oai:scholarcommons.usf.edu:esb_facpub-1025","is_oa":false,"landing_page_url":"https://scholarcommons.usf.edu/esb_facpub/19","pdf_url":null,"source":{"id":"https://openalex.org/S4377196272","display_name":"Digital Commons - University of South Florida (University of South Florida)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2613432","host_organization_name":"University of South Florida","host_organization_lineage":["https://openalex.org/I2613432"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science and Engineering Faculty Publications","raw_type":"text"},{"id":"pmh:oai:digitalcommons.usf.edu:esb_facpub-1025","is_oa":false,"landing_page_url":"https://digitalcommons.usf.edu/esb_facpub/19","pdf_url":null,"source":{"id":"https://openalex.org/S4377196272","display_name":"Digital Commons - University of South Florida (University of South Florida)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2613432","host_organization_name":"University of South Florida","host_organization_lineage":["https://openalex.org/I2613432"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science and Engineering Faculty Publications","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.5600000023841858,"display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G2412944714","display_name":null,"funder_award_id":"138358","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W195801986","https://openalex.org/W1411431631","https://openalex.org/W1515654413","https://openalex.org/W1515926918","https://openalex.org/W1552384529","https://openalex.org/W1561590459","https://openalex.org/W1563238762","https://openalex.org/W1565369953","https://openalex.org/W1595728311","https://openalex.org/W1884701998","https://openalex.org/W1963863611","https://openalex.org/W1964973855","https://openalex.org/W1970681445","https://openalex.org/W1971605365","https://openalex.org/W1974288188","https://openalex.org/W1982457390","https://openalex.org/W1988545107","https://openalex.org/W2011940409","https://openalex.org/W2025482144","https://openalex.org/W2027457414","https://openalex.org/W2033471364","https://openalex.org/W2042458836","https://openalex.org/W2053167448","https://openalex.org/W2060746229","https://openalex.org/W2077601599","https://openalex.org/W2088537919","https://openalex.org/W2105427204","https://openalex.org/W2106793200","https://openalex.org/W2107041380","https://openalex.org/W2112800903","https://openalex.org/W2118457002","https://openalex.org/W2126705845","https://openalex.org/W2127360730","https://openalex.org/W2136484227","https://openalex.org/W2143287611","https://openalex.org/W2144963861","https://openalex.org/W2147423004","https://openalex.org/W2149767240","https://openalex.org/W2151278541","https://openalex.org/W2154909745","https://openalex.org/W6608109248","https://openalex.org/W6628154655","https://openalex.org/W6633211649","https://openalex.org/W6635611459","https://openalex.org/W6639455693","https://openalex.org/W6682247606","https://openalex.org/W6682554491"],"related_works":["https://openalex.org/W4235485585","https://openalex.org/W2396192564","https://openalex.org/W2062101007","https://openalex.org/W2312666001","https://openalex.org/W2238466295","https://openalex.org/W2104685162","https://openalex.org/W2348937554","https://openalex.org/W2071805062","https://openalex.org/W1992130569","https://openalex.org/W2304361112"],"abstract_inverted_index":{"High":[0],"performance":[1],"implementation":[2],"of":[3,75,79,98],"single":[4,34],"exponentiation":[5,99],"in":[6,18,36,100,110,120,124],"finite":[7,38,102],"field":[8,103],"is":[9],"crucial":[10],"for":[11,32,55,67],"cryptographic":[12],"applications":[13,111],"such":[14],"as":[15],"those":[16],"used":[17,123],"embedded":[19,121],"systems":[20,122],"and":[21,53,69,73,105,117,127],"industrial":[22,125],"networks.":[23,128],"In":[24,62],"this":[25],"paper,":[26],"we":[27,44],"propose":[28],"a":[29,46],"new":[30],"architecture":[31],"performing":[33],"exponentiations":[35,57],"binary":[37,101],"fields.":[39],"For":[40],"the":[41,65,76,80,96],"first":[42],"time,":[43],"employ":[45],"digit-level":[47],"hybrid-double":[48],"multiplier":[49],"proposed":[50],"by":[51],"Azarderakhsh":[52],"Reyhani-Masoleh":[54],"computing":[56],"based":[58],"on":[59],"square-and-multiply":[60],"scheme.":[61],"our":[63],"structure,":[64],"computations":[66,114],"squaring":[68],"multiplication":[70],"are":[71],"uniform":[72],"independent":[74],"Hamming":[77],"weight":[78],"exponent;":[81],"considered":[82],"to":[83],"have":[84],"built-in":[85],"resistance":[86],"against":[87],"simple":[88],"power":[89],"analysis":[90],"attacks.":[91],"The":[92],"presented":[93],"structure":[94],"reduces":[95],"latency":[97],"considerably":[104],"thus":[106],"can":[107],"be":[108],"utilized":[109],"exhibiting":[112],"high-performance":[113],"including":[115],"sensitive":[116],"constrained":[118],"ones":[119],"setups":[126]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
