{"id":"https://openalex.org/W2903783893","doi":"https://doi.org/10.1145/3178291.3178292","title":"Speeding up Curve25519 using Toeplitz Matrix-vector Multiplication","display_name":"Speeding up Curve25519 using Toeplitz Matrix-vector Multiplication","publication_year":2018,"publication_date":"2018-01-24","ids":{"openalex":"https://openalex.org/W2903783893","doi":"https://doi.org/10.1145/3178291.3178292","mag":"2903783893"},"language":"en","primary_location":{"id":"doi:10.1145/3178291.3178292","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3178291.3178292","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Fifth Workshop on Cryptography and Security in Computing Systems","raw_type":"proceedings-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/A5058105976","display_name":"Halil Kemal Ta\u015fk\u0131n","orcid":null},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Halil Kemal Ta\u015fkin","raw_affiliation_strings":["Middle East Technical University, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Middle East Technical University, Ankara, Turkey","institution_ids":["https://openalex.org/I201799495"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009945678","display_name":"Murat Cenk","orcid":"https://orcid.org/0000-0003-4941-8734"},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Murat Cenk","raw_affiliation_strings":["Middle East Technical University, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Middle East Technical University, Ankara, Turkey","institution_ids":["https://openalex.org/I201799495"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058105976"],"corresponding_institution_ids":["https://openalex.org/I201799495"],"apc_list":null,"apc_paid":null,"fwci":0.4106,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74005567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9994999766349792,"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/T10237","display_name":"Cryptography and Data Security","score":0.9952999949455261,"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.8260672688484192},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7920598983764648},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.7168655395507812},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.6490268111228943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6044992208480835},{"id":"https://openalex.org/keywords/strassen-algorithm","display_name":"Strassen algorithm","score":0.5415928363800049},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48926421999931335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4643704295158386},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.42624345421791077},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.40939122438430786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34965288639068604},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.283555805683136},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06446564197540283}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8260672688484192},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7920598983764648},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.7168655395507812},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.6490268111228943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6044992208480835},{"id":"https://openalex.org/C39096654","wikidata":"https://www.wikidata.org/wiki/Q728507","display_name":"Strassen algorithm","level":4,"score":0.5415928363800049},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48926421999931335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4643704295158386},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.42624345421791077},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.40939122438430786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34965288639068604},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.283555805683136},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06446564197540283},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3178291.3178292","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3178291.3178292","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Fifth Workshop on Cryptography and Security in Computing Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:open.metu.edu.tr:11511/31681","is_oa":false,"landing_page_url":"https://hdl.handle.net/11511/31681","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1650805411","https://openalex.org/W1910751411","https://openalex.org/W2150782829","https://openalex.org/W2402976487","https://openalex.org/W2594261824"],"related_works":["https://openalex.org/W2170716619","https://openalex.org/W2145889866","https://openalex.org/W2949595835","https://openalex.org/W2392656174","https://openalex.org/W3204033665","https://openalex.org/W2613375081","https://openalex.org/W4301181185","https://openalex.org/W2269364368","https://openalex.org/W2032839380","https://openalex.org/W1809313304"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,39],"new":[4,40,66],"multiplication":[5,26,31,50,61],"algorithm":[6,15,20,67,90],"over":[7],"F2255_19":[8],"where":[9],"the":[10,22,28,65,70,79],"de-facto":[11],"standard":[12],"Curve25519":[13],"[2]":[14],"is":[16,44],"based":[17],"on.":[18],"Our":[19],"for":[21],"underlying":[23],"finite":[24],"field":[25],"exploits":[27],"Toeplitz":[29,59],"matrix-vector":[30,60],"and":[32,68,72],"achieves":[33],"salient":[34],"results.":[35],"We":[36,63],"have":[37],"used":[38,47,57],"radix":[41],"representation":[42],"that":[43],"infeasible":[45],"when":[46,56,91],"with":[48,58],"schoolbook":[49],"techniques":[51],"but":[52],"has":[53],"notable":[54],"advantages":[55],"methods.":[62],"present":[64],"discuss":[69],"comparison":[71],"implementation":[73,87],"details.":[74],"In":[75],"addition,":[76],"we":[77],"evaluate":[78],"delay":[80],"complexity":[81],"of":[82,88],"four-core":[83],"almost":[84],"embarrassingly":[85],"parallel":[86],"our":[89],"computations":[92],"are":[93],"performed":[94],"using":[95],"multi-core":[96],"systems.":[97]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
