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Abstract: Conway Polynomials are
important in different areas of mathematics, especially Number Theory
and Algebra. A Conway polynomial is an irreducible polynomial over
a finite field with some added conditions. Conway polynomials have
given mathematicians a more efficient way of doing arithmetic in finite
fields. In fact, GAP and MAGMA use conway polynomials to define their
finite fileds and to do the arithmetic in these finite fields. In
this talk, I will explore the use and importance of Conway polynomials
in Algebra and Cryptography. |