Genus 2 Supersingular Isogeny Oblivious Transfer

TL;DR

This paper introduces a new oblivious transfer scheme utilizing supersingular abelian surfaces, extending previous isogeny-based methods from elliptic curves to higher-dimensional abelian varieties.

Contribution

It extends supersingular isogeny-based oblivious transfer to principally polarized supersingular abelian surfaces, broadening the cryptographic applications of isogeny-based protocols.

Findings

New oblivious transfer scheme for abelian surfaces

Extension of isogeny-based cryptography to higher dimensions

Potential for more secure cryptographic protocols

Abstract

We present an oblivious transfer scheme that extends the proposal made by Barreto, Oliveira and Benits, based in isogenies supersingular elliptic curves, to the setting of principally polarized supersingular abelian surfaces.