ITASEC26 "What the Pell: Cryptanalysis of Degree-Two Pell Curves" - Leonardo Errati

"What the Pell: Cryptanalysis of Degree-Two Pell Curves"

Leonardo Errati - Politecnico di Torino
Mercoledì 11 Febbraio - 12:30
ITASEC26

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.