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Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields

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Arithmetic of Finite Fields (WAIFI 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12542))

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Abstract

Throughout this paper we let p be a prime number, let \(q=p^r\) and let \(\mathbb {F}_{q^n}\) denote a finite field with \(q^n\) elements, where n is a positive integer.

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Authors and Affiliations

  1. UCD School of Mathematics and Statistics, University College Dublin, Dublin, Ireland

    Gary McGuire & John Sheekey

Authors
  1. Gary McGuire
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  2. John Sheekey
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Corresponding author

Correspondence to John Sheekey .

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Editors and Affiliations

  1. Sorbonne Paris, Paris, France

    Jean Claude Bajard

  2. Sabancı University, Istanbul, Turkey

    Alev Topuzoğlu

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McGuire, G., Sheekey, J. (2021). Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields. In: Bajard, J.C., Topuzoğlu, A. (eds) Arithmetic of Finite Fields. WAIFI 2020. Lecture Notes in Computer Science(), vol 12542. Springer, Cham. https://doi.org/10.1007/978-3-030-68869-1_2

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  • DOI: https://doi.org/10.1007/978-3-030-68869-1_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-68868-4

  • Online ISBN: 978-3-030-68869-1

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