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arXiv · 2010.09805

Number of points of certain Artin-Schreier curves

Jędrzej Garnek
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Abstract

We prove a conjecture of Johansen, Helleseth and Kholosha concerning equality of exponential sums related to the cross-correlation of $m$-sequences. In the proof we show that certain Artin-Schreier curves have the same number of points over finite fields. This has a consequence regarding the L-polynomials of these curves.

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Jędrzej Garnek. 2020-10-19. Number of points of certain Artin-Schreier curves. https://arxiv.org/abs/2010.09805

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