Hash functions from superspecial genus-2 curves using Richelot isogenies
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Publication:2023308
DOI10.1515/jmc-2019-0021zbMath1462.14047arXiv1903.06451OpenAlexW3029088028MaRDI QIDQ2023308
Publication date: 3 May 2021
Published in: Journal of Mathematical Cryptology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.06451
Cryptography (94A60) Abelian varieties of dimension (> 1) (11G10) Isogeny (14K02) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (9)
Multiradical isogenies ⋮ Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph ⋮ Computing representation matrices for the action of Frobenius on cohomology groups ⋮ The Supersingular Isogeny Problem in Genus 2 and Beyond ⋮ Breaking the decisional Diffie-Hellman problem for class group actions using genus theory: extended version ⋮ Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\) ⋮ Efficient computation of \((3^n,3^n)\)-isogenies ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3
Uses Software
Cites Work
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