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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive
Mat. Vopr. Kriptogr., 2020 Volume 11, Issue 2, Pages 69–81 (Mi mvk322)
Division polynomials for hyperelliptic curves defined by Dickson polynomials

E. S. Malygina, S. A. Novoselov

Immanuel Kant Baltic Federal University, Kaliningrad

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.

UDC: 519.719.2+512.742.72

Received 05.XI.2019

Language: English

DOI: 10.4213/mvk322


© Steklov Math. Inst. of RAS, 2024