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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2020, Volume 11, Issue 2, Pages 69–81
DOI: https://doi.org/10.4213/mvk322 (Mi mvk322) 		 
Division polynomials for hyperelliptic curves defined by Dickson polynomials

E. S. Malygina, S. A. Novoselov

Immanuel Kant Baltic Federal University, Kaliningrad
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DOI: https://doi.org/10.4213/mvk322
Abstract: In this paper, we investigate division polynomials for hyperelliptic curves of genus $2$ defined by the Dickson polynomial. For the case of $\ell=3$, we obtain explicit formulae.
Key words: hyperelliptic curve, division polynomials, Mumford–Cantor's coordinates, $l$-torsion, Dickson polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00244
Semyon Novoselov gratefully acknowledges the support of Russian Foundation for Basic Research, research project №18-31-00244.
Received 05.XI.2019
Document Type: Article
UDC: 519.719.2+512.742.72
Language: English
Citation: E. S. Malygina, S. A. Novoselov, “Division polynomials for hyperelliptic curves defined by Dickson polynomials”, Mat. Vopr. Kriptogr., 11:2 (2020), 69–81
Citation in format AMSBIB
\Bibitem{MalNov20}
\by E.~S.~Malygina, S.~A.~Novoselov
\paper Division polynomials for hyperelliptic curves defined by Dickson polynomials
\jour Mat. Vopr. Kriptogr.
\yr 2020
\vol 11
\issue 2
\pages 69--81
\mathnet{http://mi.mathnet.ru/mvk322}
\crossref{https://doi.org/10.4213/mvk322}
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