This document describes the Byte Rotation Encryption Algorithm (BREA), a symmetric key block cipher algorithm that encrypts plaintext blocks in parallel using multithreading. BREA uses byte-rotation techniques and monoalphabetic substitution with a randomly generated 16-byte matrix. It provides an example of encrypting a plaintext block. BREA is described as being fast, requiring few computer resources, and providing secure encryption. Future work may implement BREA on multiprocessor systems to further improve encryption speed through parallelization.