Constructing abelian surfaces for cryptography via Rosenhain invariants

DOI10.1112/S1461157014000370zbMath1296.11067OpenAlexW2398262133MaRDI QIDQ2878834

Tonghai Yang, Craig Costello, Alyson Deines, Kristin E. Lauter

Publication date: 5 September 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157014000370

zbMATH Keywords

Kummer surfaceabelian surfaceKummer parameterRosenhain invariantstrong genus 2 curve

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Number-theoretic algorithms; complexity (11Y16) Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37)

Related Items (4)

Hilbert theta series and invariants of genus 2 curves ⋮ Constructing genus-3 hyperelliptic Jacobians with CM ⋮ Rational structure of \(X(N)\) over \(\mathbb{Q}\) and explicit Galois action on CM points ⋮ CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold \(X_{2}(2)\)

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