In today's landscape, the vulnerability of data storage on the cloud is a paramount concern for businesses and cloud research and development alike. The demand for cloud storage, driven by the need for cost-effective maintenance, has reached unprecedented levels. However, ensuring data security, privacy, integrity, and availability at a reduced cost poses a significant challenge for cloud service providers. For users to continue entrusting their data to the cloud, confidence in the service provider's security measures is imperative. With this in mind, we have developed a secure authentication scheme aimed at safeguarding data during storage and transmission across the cloud. Our framework prioritizes both data security and authenticity while optimizing storage costs. In our approach, high-resolution images, a common data type, undergo compression before storage, reducing their size to 60% of the original. Subsequently, the compressed data is fragmented into multiple chunks, each encrypted using the owner's private key. This dual-layer security strategy involves both data chunking and encryption, ensuring robust protection. Authorized users retain the ability to decrypt the data and reconstruct it to its original form, maintaining accessibility while upholding security measures. Through experimental execution, our proposed scheme demonstrates superior performance compared to existing systems across various metrics.