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This paper presents a novel and robust data hiding method based on H.265/High Efficiency Video Coding (HEVC) standard. To improve the robustness of data hiding, the embedded data are first encoded into the encoded data by using the BCH syndrome code (BCH code) technique. To improve the visual quality of data hiding, three groups of the prediction directions are provided to limit the intra-frame distortion drift. Then, the encoded data are embedded into the multi-coefficients of the selected 4 × 4 luminance discrete sine transform blocks, which meet the groups. It is experimentally proven that the proposed method can achieve greater robustness, better visual quality, and higher embedding capacity than previously studied methods.