Author(s)

Pengcheng Zhu, Chenge Luo

Corresponding Author

Pengcheng Zhu

Abstract

The paper presents a significant homomorphic encryption scheme for signal processing within the ciphertext domain, allowing for direct operations on encrypted data. The methodology involves a pixel grouping strategy and block difference histogram technique, which not only increase the embedding capacity but also maintain image quality standards. During the information embedding phase, a histogram shifting approach is employed, leveraging edge values to embed without the need for auxiliary information, thereby enhancing security.The embedding process comprises single-layer embedding with left or right shifts based on the secret information. A critical aspect addressed in this scheme is the overflow problem, which is managed through adjustments in grayscale values and the recording of overflow instances. By implementing these strategies, the algorithm enhances the embedding capacity without compromising security, making it suitable for reversible information hiding applications in the realm of sensitive imaging.Overall,this homomorphic encryption scheme presents a comprehensive approach to secure data operations in the ciphertext domain, offering a balance between embedding capacity and image quality preservation, thereby proving to be a valuable contribution to the field of reversible information hiding and encryption technologies.

Keywords

reversible watermarking technology, lossless extraction, carrier image restoration, data embedding, prediction error threshold, statistical properties, difference domain histogram modification, gray value sorting, watermark embedding, peak points, zero points, histogram translation method, separable reversible information hiding algorithm, ciphertext domain, homomorphicencryption