{"id":"https://openalex.org/W81165286","doi":"https://doi.org/10.1007/978-3-642-27257-8_11","title":"Evaluating 16-Bit Processors for Elliptic Curve Cryptography","display_name":"Evaluating 16-Bit Processors for Elliptic Curve Cryptography","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W81165286","doi":"https://doi.org/10.1007/978-3-642-27257-8_11","mag":"81165286"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-27257-8_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-27257-8_11","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-27257-8_11.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-27257-8_11.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072021755","display_name":"Erich Wenger","orcid":null},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Erich Wenger","raw_affiliation_strings":["Institute for Applied Information Processing and Communications (IAIK), Graz University of Technology, Inffeldgasse 16a, 8010, Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Applied Information Processing and Communications (IAIK), Graz University of Technology, Inffeldgasse 16a, 8010, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049878313","display_name":"Mario Werner","orcid":null},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Mario Werner","raw_affiliation_strings":["Institute for Applied Information Processing and Communications (IAIK), Graz University of Technology, Inffeldgasse 16a, 8010, Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Applied Information Processing and Communications (IAIK), Graz University of Technology, Inffeldgasse 16a, 8010, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072021755"],"corresponding_institution_ids":["https://openalex.org/I4092182"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.0947,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.97262511,"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":"166","last_page":"181"},"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":0.9869999885559082,"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":0.9803000092506409,"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/computer-science","display_name":"Computer science","score":0.8506215810775757},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7838815450668335},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.7678309679031372},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.5679401159286499},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.520957350730896},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5164228081703186},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5162122845649719},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5090722441673279},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.43101319670677185},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4276590943336487},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.40708041191101074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32576432824134827},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3238704800605774},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1314791440963745},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.12984105944633484},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12165012955665588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11645051836967468},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.09923100471496582}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8506215810775757},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7838815450668335},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.7678309679031372},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.5679401159286499},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.520957350730896},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5164228081703186},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5162122845649719},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5090722441673279},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.43101319670677185},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4276590943336487},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.40708041191101074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32576432824134827},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3238704800605774},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1314791440963745},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.12984105944633484},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12165012955665588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11645051836967468},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.09923100471496582},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-27257-8_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-27257-8_11","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-27257-8_11.pdf","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"},{"id":"pmh:oai:HAL:hal-01596311v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01596311","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"10th Smart Card Research and Advanced Applications (CARDIS), Sep 2011, Leuven, Belgium. pp.166-181, &#x27E8;10.1007/978-3-642-27257-8_11&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-27257-8_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-27257-8_11","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-27257-8_11.pdf","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W81165286.pdf","grobid_xml":"https://content.openalex.org/works/W81165286.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W79711112","https://openalex.org/W398400987","https://openalex.org/W1511530643","https://openalex.org/W1549342296","https://openalex.org/W1549779101","https://openalex.org/W1565369953","https://openalex.org/W1567573409","https://openalex.org/W1580441202","https://openalex.org/W1603220704","https://openalex.org/W1606963767","https://openalex.org/W1623321795","https://openalex.org/W1880212920","https://openalex.org/W1994429123","https://openalex.org/W2004814164","https://openalex.org/W2016757419","https://openalex.org/W2052435632","https://openalex.org/W2134585683","https://openalex.org/W2140357064","https://openalex.org/W2151163104","https://openalex.org/W2168452204","https://openalex.org/W2244699646","https://openalex.org/W2491896407","https://openalex.org/W2492127715","https://openalex.org/W2493779057","https://openalex.org/W2504089782","https://openalex.org/W2950340889","https://openalex.org/W3215152605"],"related_works":["https://openalex.org/W3201596224","https://openalex.org/W1565266559","https://openalex.org/W2782833818","https://openalex.org/W1990743860","https://openalex.org/W4226182343","https://openalex.org/W3191743943","https://openalex.org/W4303856864","https://openalex.org/W2260005205","https://openalex.org/W3213981908","https://openalex.org/W1577956677"],"abstract_inverted_index":{"In":[0,37],"a":[1,42,105,109,130,166],"world":[2],"in":[3,29,98],"which":[4],"every":[5],"processing":[6],"cycle":[7],"is":[8,19,22],"proportional":[9],"to":[10,25,31,76,113,129,164],"used":[11],"energy":[12,18],"and":[13,51,63,82,89,92,115,121,136],"the":[14,33,59,61,64,67,74,80,83,94,102,116,122,155,159],"amount":[15],"of":[16,69,104,111],"available":[17],"limited,":[20],"it":[21],"especially":[23],"important":[24],"optimize":[26],"source":[27],"code":[28,97],"order":[30],"achieve":[32],"best":[34,68],"possible":[35],"runtime.":[36],"this":[38],"paper,":[39],"we":[40,72,100,134],"present":[41,77,135],"side-channel":[43],"secure":[44],"C":[45],"framework":[46],"performing":[47],"elliptic":[48,143],"curve":[49],"cryptography":[50],"improve":[52,101],"its":[53],"runtime":[54,103],"on":[55,158],"three":[56],"16-bit":[57],"microprocessors:":[58],"MSP430,":[60],"PIC24,":[62],"dsPIC.":[65,84],"To":[66],"our":[70,146],"knowledge":[71],"are":[73,154],"first":[75],"results":[78,138,157],"for":[79,139,149],"PIC24":[81],"By":[85],"evaluating":[86],"different":[87,141],"multi-precision":[88,124],"field-multiplication":[90,118],"methods,":[91],"hand-crafting":[93],"performance":[95,156],"critical":[96],"Assembler,":[99],"point":[106,167],"multiplication":[107,125,168],"by":[108,119,126],"factor":[110],"up":[112],"5.41":[114],"secp160r1":[117],"6.36,":[120],"corresponding":[123],"7.91":[127],"(compared":[128],"speed-optimized":[131],"C-implementation).":[132],"Additionally,":[133],"compare":[137],"four":[140],"standardized":[142],"curves":[144],"making":[145],"data":[147],"applicable":[148],"real-world":[150],"applications.":[151],"Most":[152],"spectacular":[153],"dsPIC":[160],"processor,":[161],"being":[162],"able":[163],"calculate":[165],"within":[169],"1.7":[170],"\u2013":[171],"4.9":[172],"MCycles.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
