A new approach to digital image cryptography will be presented, utilizing straightforward techniques for image encryption, key generation, and decryption. This method will perform the cryptographic process in a single round, eliminating the need for logical or arithmetic operations. The image matrix will be transformed into a single-row matrix, divided into equal-sized blocks, and reordered to create the encrypted image. Decryption will involve reversing the block order to restore the original image. The reordering process will be guided by a secret indices key, generated by sorting a chaotic key derived from a logistic map model. The suggested technique will employ a 192-bit private key, segmenting the image matrix into blocks and generating the chaotic key. This private key will offer a robust key space, enhancing resistance against hacking attempts. The decrypted image will also be susceptible to the private key’s values, ensuring security. The method is designed to be versatile and capable of encrypting and decrypting various digital data types, such as messages and audio files. The method’s effectiveness will be evaluated using multiple images, focusing on its speed and efficiency. The encryption time will be assessed against current cryptographic techniques to showcase its capability for achieving faster processing speeds. Furthermore, the quality of encrypted/decrypted images will be analyzed to confirm that the process meets the standards of a reliable cryptographic system.