{"id":"https://openalex.org/W2169555621","doi":"https://doi.org/10.1145/2484389.2484398","title":"Twisted edwards-form elliptic curve cryptography for 8-bit AVR-based sensor nodes","display_name":"Twisted edwards-form elliptic curve cryptography for 8-bit AVR-based sensor nodes","publication_year":2013,"publication_date":"2013-05-08","ids":{"openalex":"https://openalex.org/W2169555621","doi":"https://doi.org/10.1145/2484389.2484398","mag":"2169555621"},"language":"en","primary_location":{"id":"doi:10.1145/2484389.2484398","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2484389.2484398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the first ACM workshop on Asia public-key cryptography","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dl.acm.org/citation.cfm?id=2484398","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049575801","display_name":"Dalin Chu","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dalin Chu","raw_affiliation_strings":["Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","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":["University of Luxembourg, Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg, Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","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":false,"raw_author_name":"Zhe Liu","raw_affiliation_strings":["University of Luxembourg, Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg, Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103524783","display_name":"Volker M\u00fcller","orcid":null},"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":"Volker M\u00fcller","raw_affiliation_strings":["University of Luxembourg, Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg, Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100354600","display_name":"Yang Zhang","orcid":"https://orcid.org/0000-0001-8641-2660"},"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":"Yang Zhang","raw_affiliation_strings":["University of Luxembourg, Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg, Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5049575801"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":13.7521,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.98524283,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"2","issue":null,"first_page":"39","last_page":"44"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9789000153541565,"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":0.9170440435409546},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.683098554611206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6611827611923218},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.6272314786911011},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.6177862882614136},{"id":"https://openalex.org/keywords/curve25519","display_name":"Curve25519","score":0.5716190338134766},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5280429124832153},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.468874454498291},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.4603116512298584},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.43499305844306946},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.4214281141757965},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.39350587129592896},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.36566370725631714},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31912925839424133},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.2844022810459137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24295875430107117},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1904819905757904},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12512347102165222}],"concepts":[{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.9170440435409546},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.683098554611206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6611827611923218},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.6272314786911011},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.6177862882614136},{"id":"https://openalex.org/C198690329","wikidata":"https://www.wikidata.org/wiki/Q15702839","display_name":"Curve25519","level":5,"score":0.5716190338134766},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5280429124832153},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.468874454498291},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.4603116512298584},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.43499305844306946},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.4214281141757965},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.39350587129592896},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.36566370725631714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31912925839424133},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.2844022810459137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24295875430107117},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1904819905757904},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12512347102165222},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2484389.2484398","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2484389.2484398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the first ACM workshop on Asia public-key cryptography","raw_type":"proceedings-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/14765","is_oa":true,"landing_page_url":"http://dl.acm.org/citation.cfm?id=2484398","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Proceedings of the first ACM Workshop on Asia Public-Key Cryptography (ASIAPKC 2013), 39-44 (2013-05); 1st ACM Asia Workshop on Public-Key Cryptography (ASIAPKC 2013), Hangzhou, China [CN], 08-05-2013","raw_type":"peer reviewed"}],"best_oa_location":{"id":"pmh:oai:orbilu.uni.lu:10993/14765","is_oa":true,"landing_page_url":"http://dl.acm.org/citation.cfm?id=2484398","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Proceedings of the first ACM Workshop on Asia Public-Key Cryptography (ASIAPKC 2013), 39-44 (2013-05); 1st ACM Asia Workshop on Public-Key Cryptography (ASIAPKC 2013), Hangzhou, China [CN], 08-05-2013","raw_type":"peer reviewed"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1518306097","https://openalex.org/W1539740938","https://openalex.org/W1567509742","https://openalex.org/W1567573409","https://openalex.org/W1571327436","https://openalex.org/W1592482282","https://openalex.org/W1681507753","https://openalex.org/W1880212920","https://openalex.org/W1910751411","https://openalex.org/W1971599357","https://openalex.org/W1972442530","https://openalex.org/W1973825546","https://openalex.org/W2004814164","https://openalex.org/W2134258244","https://openalex.org/W2134585683","https://openalex.org/W2135988418","https://openalex.org/W2148922257","https://openalex.org/W2151163104","https://openalex.org/W2154290215","https://openalex.org/W2169383187","https://openalex.org/W2951379724","https://openalex.org/W3144088531","https://openalex.org/W4205613121","https://openalex.org/W4251106922","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1995438231","https://openalex.org/W2741585127","https://openalex.org/W1911636251","https://openalex.org/W3009023388","https://openalex.org/W2729640778","https://openalex.org/W2161958080","https://openalex.org/W2170258245","https://openalex.org/W2620257839","https://openalex.org/W2356198393","https://openalex.org/W2347341077"],"abstract_inverted_index":{"Wireless":[0],"Sensor":[1],"Networks":[2],"(WSNs)":[3],"pose":[4],"a":[5,40,140,172,183,188],"number":[6],"of":[7,20,31,55,79,107,120,133,168,200,205],"unique":[8],"security":[9],"challenges":[10],"that":[11,67,164],"demand":[12],"innovation":[13],"in":[14],"several":[15],"areas":[16],"including":[17],"the":[18,28,50,75,85,118,156,165,197],"design":[19],"cryptographic":[21],"primitives":[22],"and":[23,45,52,87,102,112,124],"protocols.":[24],"Despite":[25],"recent":[26],"progress,":[27],"efficient":[29,121],"implementation":[30,66,161],"Elliptic":[32],"Curve":[33],"Cryptography":[34],"(ECC)":[35],"for":[36,139],"WSNs":[37],"is":[38,151],"still":[39],"very":[41],"active":[42],"research":[43],"topic":[44],"techniques":[46],"to":[47,72,117,178],"further":[48],"reduce":[49],"time":[51,132],"energy":[53,166,198],"cost":[54,167],"ECC":[56,65,91,206],"are":[57],"eagerly":[58],"sought.":[59],"This":[60,191],"paper":[61],"presents":[62],"an":[63,130,146],"optimized":[64],"we":[68,128],"developed":[69],"from":[70],"scratch":[71],"comply":[73],"with":[74,196],"severe":[76],"resource":[77],"constraints":[78],"8-bit":[80,147],"sensor":[81],"nodes":[82],"such":[83],"as":[84,98],"MICAz":[86,173],"IRIS":[88],"motes.":[89],"Our":[90,160],"software":[92],"uses":[93],"Optimal":[94],"Prime":[95],"Fields":[96],"(OPFs)":[97],"underlying":[99],"algebraic":[100],"structure":[101],"supports":[103],"two":[104,201],"different":[105],"families":[106],"elliptic":[108],"curves,":[109],"namely":[110],"Weierstra\u00df-form":[111],"twisted":[113,184,209],"Edwards-form":[114],"curves.":[115,211],"Due":[116],"combination":[119],"field":[122],"arithmetic":[123],"fast":[125],"group":[126],"operations,":[127],"achieve":[129],"execution":[131],"5.8":[134],"\u00b7":[135],"106":[136],"clock":[137],"cycles":[138],"full":[141],"158-bit":[142],"scalar":[143,169],"multiplication":[144,170],"on":[145,171,208],"ATmega128":[148],"micro-controller,":[149],"which":[150],"2.78":[152],"times":[153],"faster":[154],"than":[155],"widely-used":[157],"TinyECC":[158],"library.":[159],"also":[162],"shows":[163],"(or":[174],"IRIS)":[175],"mote":[176],"amounts":[177],"just":[179],"19~mJ":[180],"when":[181],"using":[182],"Edwards":[185,210],"curve":[186],"over":[187],"160-bit":[189],"OPF.":[190],"result":[192],"compares":[193],"fairly":[194],"well":[195],"figures":[199],"recently-presented":[202],"hardware":[203],"designs":[204],"based":[207]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}