A Hadamard Matrix-Based Algorithm to Evaluate the Strength of Binary Sequences

Abstract

Nowadays, a wide range of critical services relies on Internet of Things (IoT) devices. Nevertheless, they often lack proper security, becoming the gateway to attack the whole system. IoT security protocols are often based on stream ciphers, where pseudo-random number generators (PRNGs) are an essential part of them. In this work, a family of strong ciphers difficult to be analyzed by standard methods is described. In addition, we will discuss an innovative technique of sequence decomposition (binomial representation) and present a novel algorithm based on Hadamard matrices to evaluate the strength (unpredictability) of binary sequences, a key part of the IoT security stack.