Undeniable signatures based on isogenies of supersingular hyperelliptic curves
Rams\`es Fern\`andez-Val\`encia
TL;DR
This paper proposes an undeniable signature scheme utilizing the mathematical properties of supersingular hyperelliptic curves of genus 2, aiming to enhance cryptographic security.
Contribution
It introduces a novel undeniable signature scheme based on isogenies of supersingular hyperelliptic curves, expanding cryptographic applications of these mathematical structures.
Findings
Scheme offers strong security assumptions
Efficient signing and verification processes
Potential for practical cryptographic implementation
Abstract
We present a proposal for an undeniable signature scheme based in supersingular hyperelliptic curves of genus 2.
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Taxonomy
TopicsCryptography and Residue Arithmetic · Algebraic Geometry and Number Theory · Coding theory and cryptography