On the correlation of binary sequences, II

This paper concerns the study of the correlation measures of finite binary sequences, more particularly the dependence of correlation measures of even order and correlation measures of odd order. These results generalize previous results due to Gyarmati (2005) [7] and to Anantharam (2008) [3] and provide a partial answer to a conjecture due to Mauduit (2003) [12]. The last part of the paper concerns the generalization of this study to the case of finite binary nn-dimensional lattices.