English

Number of points of certain Artin-Schreier curves

Number Theory 2020-11-30 v2 Algebraic Geometry

Abstract

We prove a conjecture of Johansen, Helleseth and Kholosha concerning equality of exponential sums related to the cross-correlation of mm-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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Cite

@article{arxiv.2010.09805,
  title  = {Number of points of certain Artin-Schreier curves},
  author = {Jędrzej Garnek},
  journal= {arXiv preprint arXiv:2010.09805},
  year   = {2020}
}

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