Cloud computing stands at the forefront of contemporary advancements in distributed computing, providing a range of data storage, including on-demand services, platform services, and network capabilities. Despite the compelling advantages, many enterprises exhibit hesitancy in embracing cloud services, primarily stemming from apprehensions about data security, given that the data are housed on servers belonging to the cloud service provider. Addressing this concern has prompted researchers worldwide to explore various avenues for fortifying and ensuring the security of data stored in cloud computing. Among these approaches, the bi-directional DNA encryption algorithm is gaining prominence as a notable contender. However, a notable limitation of the current methodology lies in its exclusive focus on the American Standard Code for Information Interchange character set, neglecting the broader scope of non-English users engaging with cloud computing. Consequently, this proposed endeavor seeks to augment the BDEA to accommodate Unicode characters, ensuring a more inclusive and robust security framework.