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Efficient Multiplication in F3lm, M≥1 and 5≤l≤18

dc.contributor.author Ozbudak, Ferruh
dc.contributor.author Cenk, Murat
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2020-04-08T12:20:21Z
dc.date.accessioned 2025-09-18T12:05:26Z
dc.date.available 2020-04-08T12:20:21Z
dc.date.available 2025-09-18T12:05:26Z
dc.date.issued 2008
dc.description.abstract Using a method based on Chinese Remainder Theorem for polynomial multiplication and suitable reductions, we obtain an efficient multiplication method for finite fields of characteristic 3. Large finite fields of characteristic 3 are important for pairing based cryptography [3]. For 5 <= l <= 18, we show that our method gives canonical multiplication formulae over F-3lm for any m >= 1 with the best multiplicative complexity improving the bounds in [6]. We give explicit formula in the case F-36.97. en_US
dc.identifier.citation Cenk, Murat; Özbudak, Ferruh, "Efficient multiplication in F-3lm, m >= 1 and 5 <= l <= 18", Progress In Cryptology - Africacrypt 2008, Vol.5023, (2008). en_US
dc.identifier.doi 10.1007/978-3-540-68164-9_27
dc.identifier.isbn 3540681590
dc.identifier.isbn 9783540681595
dc.identifier.issn 0302-9743
dc.identifier.issn 1611-3349
dc.identifier.scopus 2-s2.0-45449109186
dc.identifier.uri https://doi.org/10.1007/978-3-540-68164-9_27
dc.identifier.uri https://hdl.handle.net/123456789/10618
dc.language.iso en en_US
dc.publisher Springer-verlag Berlin en_US
dc.relation.ispartof 1st International Conference on Cryptology in Africa -- JUN 11-14, 2008 -- Casablanca, MOROCCO en_US
dc.relation.ispartofseries Lecture Notes in Computer Science
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Chinese Remainder Theorem en_US
dc.subject Finite Field Multiplication en_US
dc.subject Pairing Based Cryptography en_US
dc.title Efficient Multiplication in F3lm, M≥1 and 5≤l≤18 en_US
dc.title Efficient multiplication in F-3lm, m >= 1 and 5 <= l <= 18 tr_TR
dc.type Conference Object en_US
dspace.entity.type Publication
gdc.author.institutional Cenk, Murat
gdc.author.scopusid 6504402955
gdc.author.scopusid 6603589033
gdc.author.wosid Ozbudak, Ferruh/Aaz-6893-2020
gdc.author.wosid Cenk, Murat/Agu-7577-2022
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Cenk, Murat] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Ozbudak, Ferruh] Middle East Tech Univ, Inst Appl Math, Dept Math, Ankara, Turkey en_US
gdc.description.endpage 414 en_US
gdc.description.publicationcategory Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 406 en_US
gdc.description.volume 5023 en_US
gdc.description.woscitationindex Conference Proceedings Citation Index - Science
gdc.identifier.openalex W133725558
gdc.identifier.wos WOS:000256541200027
gdc.openalex.fwci 0.27355424
gdc.openalex.normalizedpercentile 0.49
gdc.opencitations.count 5
gdc.plumx.crossrefcites 3
gdc.plumx.mendeley 1
gdc.plumx.scopuscites 8
gdc.scopus.citedcount 8
gdc.wos.citedcount 5
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