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Linear Complexity of Sequences on Koblitz Curves of Genus 2

Vishnupriya Anupindi

Vishnupriya Anupindi

Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of SciencesLinz, Austria
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Anupindi, Vishnupriya
  
Dec 12, 2022
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Published Online: Dec 12, 2022
Page range: 1 - 20
Received: Mar 04, 2022
Accepted: Mar 25, 2022
DOI: https://doi.org/10.2478/udt-2022-0010
Keywords
© 2022 Vishnupriya Anupindi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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