Minimum distortion information hiding method and system based on lattice theory and medium

Abstract

The invention discloses a lattice theory based minimum distortion information hiding method and system and a medium. The method comprises the following steps of: obtaining a carrier signal vector, an embedded message and a group of nested lattices in an N-dimensional space through data initialization; calculating a lattice point closest to the carrier signal vector according to different secret information; calculating the difference value between the grid point and the carrier signal vector, and determining the position of the carrier information after the information is embedded; embedding a to-be-embedded message into the carrier signal vector and transmitting the to-be-embedded message; and extracting the secret information from the secret-containing carrier. According to the method, the carrier signal is moved into the Voronoi region of the lattice point in a minimum distance manner, so that the distortion caused by embedding is minimum while the embedding rate which is the same as that of quantization index modulation can be ensured, and the method is suitable for application scenes which have low requirements on robustness and pursue low distortion. In addition, according to the method, the movement distance is calculated by moving to the Packing space boundary of the grid point and utilizing the Packing radius, so that the calculation amount is saved, and the method has relatively high calculation efficiency.

Description

technical field [0001] The invention belongs to the technical field of information hiding, and in particular relates to a minimum distortion information hiding method, system and medium based on lattice theory. Background technique [0002] Quantization index modulation is a commonly used information hiding algorithm. The algorithm first modulates the index value of the quantizer according to the watermark information, and then quantizes the carrier signal according to the quantizer corresponding to the index value. Its essence is to adjust the carrier value to the specified quantization level, so as to obtain higher robustness. But in some applications, robustness is not a primary concern. For example, electrocardiogram steganography in the care system would hide data collected from body sensors within an electrocardiogram signal so that a man-in-the-middle would not even be able to detect its presence. Usually, the attack is passive. For this application scenario, info...

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Problems solved by technology

For example, ECG steganography in the care system would hide data collected from body sensors within the ECG signal so that a man in the middle would not even be able to detect its presence

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