Abstract. In the recent years, DPA attacks have been widely investigated. In particular, 2-nd order DPA have been improved and successfully applied to break many masked implementations. In this context a higher order masking scheme has been proposed by Schramm and Paar at CTRSA 2006. The authors claimed that the scheme is resistant against d-th order DPA for any arbitrary chosen order d. In this paper, we prove that this assertion is false and we exhibit several 3-rd order DPA attacks that can defeat Schramm and Paar’s countermeasure for any value of d. Keywords : Side Channel Attacks, Differential Power Analysis, Higher Order DPA, Masking Scheme, Template Attacks.