Koc, Cetin KayaOzbudak, FerruhCenk, Murat02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-04-022025-09-182020-04-022025-09-182009Cenk, Murat; Koç, Çetin Kaya; Özbudak, Ferruh, "Polynomial multiplication over finite fields using field extensions and interpolation", ARITH: 2009 19th Ieee International Symposium On Computer Arithmetic, (2009).97807695367051063-6889https://doi.org/10.1109/ARITH.2009.11https://hdl.handle.net/123456789/11628Cenk, Murat/0000-0003-4941-8734; Koc, Cetin Kaya/0000-0002-2572-9565A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation as Toom-Cook method together with field extensions. Furthermore, the proposed method can be used when Toom-Cook method cannot be applied directly. Explicit formulae improving the previous results in many cases are obtained.eninfo:eu-repo/semantics/closedAccessConference Object10.1109/ARITH.2009.112-s2.0-70350755724