{"id":"https://openalex.org/W2002761595","doi":"https://doi.org/10.1631/jzus.c0910660","title":"A low-power and low-energy flexible GF(p) elliptic-curve cryptography processor","display_name":"A low-power and low-energy flexible GF(p) elliptic-curve cryptography processor","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2002761595","doi":"https://doi.org/10.1631/jzus.c0910660","mag":"2002761595"},"language":"en","primary_location":{"id":"doi:10.1631/jzus.c0910660","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c0910660","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","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/A5068448973","display_name":"Hamid Reza Ahmadi","orcid":"https://orcid.org/0000-0003-0707-8233"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hamid Reza Ahmadi","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Tehran, P.O. Box 14395-515, Tehran, Iran","University\u00a0of\u00a0Tehran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Tehran, P.O. Box 14395-515, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]},{"raw_affiliation_string":"University\u00a0of\u00a0Tehran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074063358","display_name":"Ali Afzali\u2010Kusha","orcid":"https://orcid.org/0000-0001-8614-2007"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ali Afzali-Kusha","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Tehran, P.O. Box 14395-515, Tehran, Iran","University\u00a0of\u00a0Tehran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Tehran, P.O. Box 14395-515, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]},{"raw_affiliation_string":"University\u00a0of\u00a0Tehran","institution_ids":["https://openalex.org/I23946033"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":null,"apc_paid":null,"fwci":1.4154,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87971746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"9","first_page":"724","last_page":"736"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9750000238418579,"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":0.9379000067710876,"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/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.7160611748695374},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.664560079574585},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6299704313278198},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.550589919090271},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5291628837585449},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.518300473690033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5051291584968567},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.48726168274879456},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4705291986465454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4626617729663849},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4464942514896393},{"id":"https://openalex.org/keywords/curve25519","display_name":"Curve25519","score":0.4181394875049591},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3984414041042328},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3366483449935913},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.166413813829422},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11921373009681702},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.09498220682144165}],"concepts":[{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.7160611748695374},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.664560079574585},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6299704313278198},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.550589919090271},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5291628837585449},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.518300473690033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5051291584968567},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.48726168274879456},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4705291986465454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4626617729663849},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4464942514896393},{"id":"https://openalex.org/C198690329","wikidata":"https://www.wikidata.org/wiki/Q15702839","display_name":"Curve25519","level":5,"score":0.4181394875049591},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3984414041042328},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3366483449935913},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.166413813829422},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11921373009681702},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.09498220682144165},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/jzus.c0910660","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c0910660","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.9100000262260437}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1482218422","https://openalex.org/W1592063330","https://openalex.org/W1880212920","https://openalex.org/W1950989567","https://openalex.org/W1981998307","https://openalex.org/W2004814164","https://openalex.org/W2089535996","https://openalex.org/W2105103055","https://openalex.org/W2113099111","https://openalex.org/W2113914321","https://openalex.org/W2116090163","https://openalex.org/W2117129665","https://openalex.org/W2139250338","https://openalex.org/W2143032227","https://openalex.org/W2144687403","https://openalex.org/W2154130031","https://openalex.org/W2156476575","https://openalex.org/W2157640111","https://openalex.org/W2157672296","https://openalex.org/W2169155512","https://openalex.org/W2885695302","https://openalex.org/W2912581648","https://openalex.org/W3135559746","https://openalex.org/W4241580536","https://openalex.org/W6639053789","https://openalex.org/W6753635709","https://openalex.org/W6759615248","https://openalex.org/W7057340694"],"related_works":["https://openalex.org/W1995438231","https://openalex.org/W1911636251","https://openalex.org/W3009023388","https://openalex.org/W2946358183","https://openalex.org/W2347341077","https://openalex.org/W3112900045","https://openalex.org/W2070976279","https://openalex.org/W2356198393","https://openalex.org/W2620257839","https://openalex.org/W2343736460"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,51,62,67,88,91,107,115,125,142,148,174],"use":[3,59],"of":[4,50,61,69,90,95],"two":[5],"integer":[6],"inversion":[7,63],"algorithms,":[8],"a":[9,15,22,32,42,80,131,161],"modified":[10],"Montgomery":[11,126,149],"modulo":[12,127,150],"inverse":[13,128,151],"and":[14,45,53,75,99],"Fermat\u2019s":[16,108],"Little":[17],"Theorem":[18],"based":[19,146],"inversion,":[20],"in":[21,48,93,156],"prime-field":[23],"affine-coordinate":[24,35,116],"elliptic-curve":[25,36],"crypto-processor.":[26],"To":[27],"perform":[28],"this,":[29],"we":[30,86],"present":[31],"low-power/energy":[33],"GF(p)":[34],"cryptography":[37],"(ECC)":[38],"processor":[39,145],"design":[40,57,71],"with":[41],"simplified":[43],"architecture":[44],"complete":[46],"flexibility":[47],"terms":[49,94],"field":[52],"curve":[54],"parameters.":[55],"The":[56,102,137],"can":[58],"either":[60],"algorithms.":[64],"Based":[65],"on":[66,147],"implementations":[68],"this":[70],"for":[72,114,134,177],"168-,":[73],"192-,":[74],"224-bit":[76],"prime":[77],"fields":[78],"using":[79],"standard":[81],"0.13":[82],"\u03bcm":[83],"CMOS":[84],"technology,":[85],"compare":[87],"efficiency":[89],"algorithms":[92],"power/energy":[96],"consumption,":[97],"area,":[98],"calculation":[100],"time.":[101],"results":[103,138],"show":[104,140],"that":[105,141],"while":[106],"theorem":[109],"approach":[110],"is":[111,130,171],"not":[112],"appropriate":[113],"ECC":[117,144],"processors":[118],"due":[119],"to":[120],"its":[121],"long":[122],"computation":[123],"time,":[124],"algorithm":[129],"good":[132],"candidate":[133],"low-energy":[135],"implementations.":[136],"also":[139],"168-bit":[143],"completes":[152],"one":[153],"scalar":[154],"multiplication":[155],"only":[157,167],"0.4":[158],"s":[159],"at":[160],"1":[162],"MHz":[163],"clock":[164],"frequency":[165],"consuming":[166],"12.92":[168],"\u03bcJ,":[169],"which":[170],"lower":[172],"than":[173],"reported":[175],"values":[176],"similar":[178],"designs.":[179]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}