Explicit factorization of $x^{2^nd}-1$ over a finite field

Manjit Singh

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Explicit factorization of x^(2^nd)-1 over a finite field

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arxiv 1807.00274 v1 pith:VZXSO2R5 submitted 2018-07-01 math.CO

Explicit factorization of x^(2^nd)-1 over a finite field

Manjit Singh This is my paper

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keywords explicitfactorizationfieldfinitemathbbcharacteristiccontainingdivisor

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Let $\mathbb{F}_q$ be a finite field of odd characteristic containing $q$ elements and integer $n\ge 1$. In this paper, the explicit factorization of $x^{2^nd}-1$ over $\mathbb{F}_q$ is obtained when $d$ is an odd divisor of $q+1$.

Explicit factorization of x^(2^nd)-1 over a finite field

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