The purpose of this paper is to continue the study initiated in [7] concerning notion pseudo-generalized inverse. In work, we are interested investigating relationship between compactness, finite rank and invertibility for bounded operators. preserving properties products invertible operators also treated related results given. At end paper, discuss some special cases sets n-left inverses a lef...

We provide a new property, called Non-Type-Preserving, for a mixing layer which guarantees protection against algebraic attacks based on the imprimitivity of the group generated by the round functions. Our main result is to present necessary and sufficient conditions on the structure of the binary matrix associated to the mixing layer, so that it has this property. Then we show how several fami...

This paper studies left invertibility of single-output discrete-time quantized linear systems. Quantized outputs are generated according to a given partition of the state-space, while inputs are sequences on a finite alphabet. Left invertibility deals with the possibility of recovering unknown inputs from the only knowledge of the outputs. It is reduced, under suitable conditions, to left D-inv...

This paper studies left invertibility of discrete-time linear outputquantized systems. Quantized outputs are generated according to a given partition of the state-space, while inputs are sequences on a finite alphabet. Left invertibility, i.e. injectivity of I/O map, is reduced to left D-invertibility, under suitable conditions. While left invertibility takes into account membership to sets of ...

This paper proposes a novel method for watermarking C source code by exploiting the programming language features.The key idea of our watermarking scheme is a semantics-preserving program transformation, based on a hidden permutation of local identifiers, followed by another hidden permutation of the functions defined in the source code. This last permutation allows to encrypt the prove of owne...

In this paper, we describe linear maps between complex Banach algebras that preserve products equal to fixed elements. This generalizes some important special cases where the elements are zero or identity element. First show if such map preserves a finite-rank operator, then it must also product. several instances, is enough product preserving be scalar multiple of an algebra homomorphism. Seco...

This paper deals with left invertibility problem of implicit hyperbolic systems with delays in infinite dimensional Hilbert spaces. From a decomposition procedure, invertibility for this class of systems is shown to be equivalent to the left invertibility of a subsystem without delays.