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arXiv · 1711.08306

Computing the Number of Finite Field Elements with Prescribed Trace and Co-trace

Assen Bojilov·Lyubomir Borissov·Yuri Borissovınst
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Abstract

In this paper, we address the problem for enumerating the number of finite field elements with prescribed trace and co-trace in case of arbitrary characteristic $p$. We show that this problem can be reduced to solving a system of $p-1$ linear equations with matrix of coefficients a slight modification of circulant matrix formed by the Kloosterman sums over the field $\MF_{p}$. The presented approach is illustrated in the cases of characteristic $p = 2,3$ and $5$.

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Assen Bojilov, Lyubomir Borissov, Yuri Borissovınst. 2017-11-22. Computing the Number of Finite Field Elements with Prescribed Trace and Co-trace. https://arxiv.org/abs/1711.08306

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