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arxiv: 1704.03637 · v1 · pith:IYK6OZQ5new · submitted 2017-04-12 · 🧮 math.NT · math.CO

Degrees of irreducible polynomials over binary field

classification 🧮 math.NT math.CO
keywords polynomialsbinarycorrespondingdegreesfieldalgorithmassociatedberlekamp
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An algorithm for factoring polynomials over finite fields is given by Berlekamp in 1967. The main tool was the matrix Q corresponding to each polynomial. This paper studies the degrees of polynomials over binary field that associated with their corresponding matrices Q and irreducibility.

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