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<font face="Calibri,Helvetica,sans-serif,EmojiFont,Apple Color Emoji,Segoe UI Emoji,NotoColorEmoji,Segoe UI Symbol,Android Emoji,EmojiSymbols" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Akdeniz
Üniversitesi, Fen Fakültesi, Matematik Bölümü Genel Seminerleri</span></font></span></font></div>
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<font face="Calibri,Helvetica,sans-serif,EmojiFont,Apple Color Emoji,Segoe UI Emoji,NotoColorEmoji,Segoe UI Symbol,Android Emoji,EmojiSymbols" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Konuşmacı:</span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><b> </b></span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><b><span> Sihem
MESNAGER</span></b></span></font></span></font></div>
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<b style="font-family: arial, Helvetica, sans-serif, serif, EmojiFont; font-size: small;">Functions over Finite Fields: Recent Advances, Practical Applications, and Insights in Symmetric Cryptography and Coding Theory</b>
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<font face="Calibri,Helvetica,sans-serif,EmojiFont,Apple Color Emoji,Segoe UI Emoji,NotoColorEmoji,Segoe UI Symbol,Android Emoji,EmojiSymbols" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Tarih/
Saat: 26 Ağustos Salı 2025, 13:30</span></font></span></font></div>
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: </span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="3"><span style="font-size: 12pt;">Akdeniz Üniversitesi, Fen Fakültesi B-Blok, Matematik Bölümü Seminer Salonu</span></font></span></font></div>
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<font face="Calibri,Helvetica,sans-serif,EmojiFont,Apple Color Emoji,Segoe UI Emoji,NotoColorEmoji,Segoe UI Symbol,Android Emoji,EmojiSymbols" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><b>Abstract:</b></span></font></span></font></div>
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<font face="times new roman,serif,serif,EmojiFont" color="black" style="font-size: small;"><b> </b></font><font color="black" style="font-family: arial, Helvetica, sans-serif, serif, EmojiFont; font-size: small;">This talk delves into the rich mathematical
framework of functions and polynomials over finite fields, emphasising their fundamental role in coding theory and symmetric cryptography. We will explore key properties, particularly those related to exponential sums, equation solvability, and structural
characteristics essential for assessing cryptographic strength and optimising code design.</font><font face="times new roman,serif,serif,EmojiFont" color="black" style="font-size: small;"> </font><font color="black" style="font-family: arial, Helvetica, sans-serif, serif, EmojiFont; font-size: small;">A
central focus will be on advanced algebraic techniques for functions over finite fields, with applications in cryptographic function theory. Our goal is to refine their algebraic properties, enhance their effectiveness in function-based coding schemes, and
deepen mathematical insights into their behaviour.</font><font face="times new roman,serif,serif,EmojiFont" color="black" style="font-size: small;"> </font><font color="black" style="font-family: arial, Helvetica, sans-serif, serif, EmojiFont; font-size: small;">Additionally,
we will discuss recent results in solving fundamental algebraic equations over finite fields, shed light on emerging methodologies and theoretical advancements, and present perspectives on their potential impact in both symmetric cryptography and modern coding
theory.</font><br>
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