The nonlinearity profile of a Boolean function is the sequence of its minimum Hamming distances nlr(f) to all functions of degrees at most r, for r ≥ 1. The nonlinearity profile of a vectorial function is the sequence of the minimum Hamming distances between its component functions and functions of degrees at most r, for r ≥ 1.The profile of the multiplicative inverse functions has been lower b...

Information retrieval can be achieved through computerized processes by generating a list of relevant responses to a query. The document processor, matching function and query analyzer are the main components of an information retrieval system. Document retrieval system is fundamentally based on: Boolean, vector-space, probabilistic, and language models. In this paper, a new methodology for mat...

Information retrieval can be achieved through computerized processes by generating a list of relevant responses to a query. The document processor, matching function and query analyzer are the main components of an information retrieval system. Document retrieval system is fundamentally based on: Boolean, vector-space, probabilistic, and language models. In this paper, a new methodology for mat...

Abstract We study the notion of formal self duality in finite abelian groups. Formal groups has been proposed by Cohn, Kumar, Reiher and Schürmann. In this paper we give a precise definition formally dual sets discuss results from literature perspective. Also, connection to codes. prove that can be reduced primitive similar previously known result on general sets. Furthermore, describe several ...

With the widespread use of communication technologies, cryptosystems are therefore critical to guarantee security over open networks as the Internet. Pseudo-random number generators (PRNGs) are fundamental in cryptosystems and information hiding schemes. One of the existing chaos-based PRNGs is using chaotic iterations schemes. In prior literature, the iterate function is just the vectorial boo...