In this article, we unveil a new property of linear interference cancellation detectors. Particularly, we focus in this study on the linear parallel interference cancellation (LPIC) detector and show that it exhibits a semi-convergence property. The roots of the semi-convergence behavior of the LPIC detector are clarified and the necessary conditions for its occurrence are determined. In additi...

We investigate linear and additive codes in partially ordered Hamming-like spaces that satisfy the extension property, meaning that automorphisms of ideals extend to automorphisms of the poset. The codes are naturally described in terms of translation association schemes that originate from the groups of linear isometries of the space. We address questions of duality and invariants of codes, es...

Given a finite set K, a Boolean linear map on K is a map f from the set 2 of all subsets of K into itself with f(∅) = ∅ such that f(A∪B) = f(A)∪f(B) holds for all A,B ∈ 2 . For fixed subsets X,Y of K, to predict if Y is reachable from X in the dynamical system driven by f , one can assume the existence of nonnegative integers h with f(X) = Y , find an upper bound α for the minimum of all such a...

In this brief note, it is shown that the random hyperbolicity of a random linear cocycle is equivalent to having the Lipschitz shadowing property.