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Linear Complexity of Sequences on Koblitz Curves of Genus 2 Cover

Linear Complexity of Sequences on Koblitz Curves of Genus 2

Open Access
|Dec 2022

Abstract

In this paper, we consider the hyperelliptic analogue of the Frobenius endomorphism generator and show that it produces sequences with large linear complexity on the Jacobian of genus 2 curves.

DOI: https://doi.org/10.2478/udt-2022-0010 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
Language: English
Page range: 1 - 20
Submitted on: Mar 4, 2022
Accepted on: Mar 25, 2022
Published on: Dec 12, 2022
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Vishnupriya Anupindi, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.