Fault attacks against the Miller's algorithm in edwards coordinates

Abstract

Initially, the use of pairings did not involve any secret entry. However in an Identity Based Cryptographic protocol, one of the two entries of the pairing is secret, so fault attack can be applied to Pairing Based Cryptography to find it. In [18], the author shows that Pairing Based Cryptography in Weierstrass coordinates is vulnerable to a fault attack. The addition law in Edwards coordinates is such that the exponentiation in Edwards coordinates is naturally protected to Side Channel attacks. We study here if this property protects Pairing Based Cryptography in Edwards coordinates against fault attacks. © 2010 Springer-Verlag Berlin Heidelberg.