What the Pell

Abstract

Pell curves recently gained some degree of attention as algebraic groups for cryptographic security assumptions. We focus on Pell curves of degree two and prove they inherently expose overwhelming information on their group structure. This ultimately nullifies any security and computational advantage over classical finite fields, and in particular the base field of the curve itself.

Notes

This talk was first held at ITASEC26 as a reviewed contribution.

Material

• slides for ITASEC