A secret value estimation device is provided for determining an estimate of at least one secret value used by at least one cryptographic mechanism implemented in a cryptographic system from a statistical distribution of a set of multivariate leakage traces determined by a leakage traces statistical distribution unit. Each leakage trace being a vector comprises a plurality of random values, the number of said random values being an integer number superior or equal to 1, the statistical distribution being a function of parametric linear combinations of a set of leakage model basis vectors representing a multivariate leakage model, the number of basis vectors being an integer number superior or equal to 1, and the linear combinations being defined by a matrix of real values.