Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

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 ...

Abstract: Because of the recent algebraic attacks, a high algebraic immunity is now an absolutely necessary property for Boolean functions used in stream ciphers. For a n-variable Boolean function f, ...

Abstract: We describe the algebraic immunity and calculation of algebraic immunity of boolean functions. We propose a new balanced n-variable boolean function with high algebraic immunity. We check ...