Boolean functions form the backbone of modern cryptographic systems, serving as essential components in the design of stream ciphers, block ciphers, and other security protocols. Their inherent ...

Claude Shannon 1983 showed how the basic rules of logic could be used to design circuits. $$ \text{circuits} \rightarrow \text{Boolean function} \rightarrow \text{efficient circuits} $$ A map from ...

We want to simplify sum of product which is a general form to represent any Boolean function. Efficient circuit highly depends on this kind of optimization. Of course we can simplify any circuit with ...

Abstract: We study the most-informative Boolean function conjecture using a differential equation approach. This leads to a formulation of a functional inequality on finite-dimensional random ...