scientific article; zbMATH DE number 870534

zbMath0974.11501MaRDI QIDQ4875903

Anne-Monika Spallek

Publication date: 25 April 1996

Full work available at URL: http://www.iem.uni-due.de/zahlentheorie/AES-KG2.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algorithmaddition formulacryptosystemJacobi varieties of curves of genus two

Mathematics Subject Classification ID

Cryptography (94A60) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (15)

Constructing hyperelliptic curves of genus 2 suitable for cryptography ⋮ Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication ⋮ Class invariants for quartic CM fields ⋮ Construction of CM Picard curves ⋮ Jacobian coordinates on genus 2 curves ⋮ A CM construction for curves of genus 2 with \(p\)-rank 1 ⋮ Computing genus 2 curves from invariants on the Hilbert moduli space ⋮ An addition algorithm in Jacobian of \(C_{ab}\) curves. ⋮ Formulae for arithmetic on genus 2 hyperelliptic curves ⋮ Weil descent of Jacobians. ⋮ Primes Dividing Invariants of CM Picard Curves ⋮ Determination of all \(\mathbb{Q}\)-rational CM-points in the moduli space of principally polarized abelian surfaces ⋮ Examples of genus two CM curves defined over the rationals ⋮ Computing Igusa class polynomials ⋮ Computing Class Polynomials for Abelian Surfaces

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