Abstract: Due to the nature of the exact two-level Boolean functions minimization methods most of practical applications rely on heuristic ones that are generally realized by a three step cyclic ...

SiMBA is a tool for the simplification of linear mixed Boolean-arithmetic expressions (MBAs). Like MBA-Blast and MBA-Solver, it uses a fully algebraic approach based on the idea that a linear MBA is ...

Abstract: In this paper, we study the algebraic immunity of Boolean functions and consider in particular the problem of constructing Boolean functions with a good algebraic immunity. We first give ...

Boolean expression can be transform into an equivalent expression by applying the postulates and theorems of boolean algebra. Minimizing and maximizing terms and expressions are important because ...

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 ...

Algebraic dynamics and differential equations form a vibrant interdisciplinary field where the intrinsic algebraic structures of dynamical systems are explored through the lens of differential ...

A Boolean Algebra operation can be related with an electronic circuit in which the inputs and outputs corresponds to the statements of Boolean algebra. Though these circuits may be complicated, they ...

High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This ...