Chosen-IV Statistical Attacks on eStream Ciphers

d-Monomial tests are statistical randomness tests based on Algebraic Normal Form representation of a Boolean function, and were first introduced by Filiol in 2002. We show that there are strong indications that the Gate Complexity of a Boolean function is related to a bias detectable in a d-Monomial test. We then discuss how to effectively apply d-Monomial tests in chosen-IV attacks against stream ciphers. Finally we present results of tests performed on eSTREAM proposals, and show that six of these new ciphers can be broken using the d-Monomial test in a chosen-IV attack. Many ciphers even fail a trivial (ANF) bit-flipping test.