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Sayin Liste Uyeleri,</span><span style="font-size:10.0pt;line-height:107%;font-family:"Segoe UI",sans-serif;
color:#212121"><br>
<span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><br>
<span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
Gebze Teknik Üniversitesi (GTU</span><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">)
</span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">Matematik</span><span style="font-size: 11pt; line-height: 107%; font-family: "Segoe UI", sans-serif; color: rgb(0, 0, 0); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: rgb(255, 255, 255);">
Bölümü Genel Seminerleri kapsamında,</span><span style="font-size:10.0pt;
line-height:107%;font-family:"Segoe UI",sans-serif;color:#212121"><br>
<span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">4
Kasım 2016</span><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"> Cuma günü saat 14:00'da
</span><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">Leyla Işık</span></span><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"> </span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">(</span><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">Salzburg</span><span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
Üniversitesi) bir seminer verecektir. Seminerin </span></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">detayları
aşağıda ve ekte olup tüm ilgilenenler davetlidir.</span><br>
<span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><br>
<span style="font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">Saygılarımızla.<o:p></o:p></span></span></p>
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<p><span style="font-size: 11pt; line-height: 107%; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">
Dear all,</span><span style="font-size:10.0pt;
line-height:107%;font-family:"Segoe UI",sans-serif;mso-fareast-font-family:
Calibri;mso-fareast-theme-font:minor-latin;color:#212121;mso-ansi-language:
TR;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><br>
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<span style="font-size: 11pt;"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt;">
There will be a seminar in Gebze Technical University (</span></span><span style="font-size: 11pt; line-height: 107%; font-family: Calibri, sans-serif; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">GTU</span><span style="font-size: 10pt; line-height: 107%; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt;">)
on 4</span><span style="font-size: 11pt;">th of </span></span><span style="font-size:10.0pt;
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TR;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt;">November</span><span style="font-size: 11pt;">
by </span><span style="font-size: 11pt;">Leyla Işık</span><span style="font-size: 11pt;"> (</span><span style="font-family: "Segoe UI", sans-serif; font-size: 11pt;">Salzburg</span><span style="font-size: 11pt;"> Uni).</span></span><br>
<span style="font-size: 11pt;"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt;">Time
and place: At 14:00 in Department of Mathematics, </span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt;">Building
I, Seminar room.</span><br>
<span style="font-size: 11pt;"></span><br>
</span><span style="font-size: 10pt; line-height: 107%; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt;">Title: </span><span style="font-size: 11pt;">Index
and </span><span style="font-size: 11pt; text-decoration: underline;">Carlitz</span><span style="font-size: 11pt;"> Rank of Permutation Polynomials</span><br>
</span><span style="font-size:10.0pt;
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<span style="font-size: 11pt;"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt;">Abstract: </span><span style="font-size: 11pt;">Carlitz
rank and index are two important measures for the complexity of a permutation polynomial. In particular, for cryptographic applications we need both, a high Carlitz rank and a high index. In this article we study the relationship between Carlitz rank and index.
More precisely, if the permutation polynomial is neither close to a polynomial of the form ax nor a rational function of the form ax−1 , then we show that the Carlitz rank is q + O(` + q 1/2 ), where ` is its index.</span></span></span><br>
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