The Dirty Paper Trellis Code (DPTC) watermarking scheme [1] is a very efficient high rate scheme. It has however a major drawback: its computational complexity. This problem is addressed by using a faster embedding technique. The embedding space is built by projecting some wavelet coefficients onto secret carriers. The fast embedding is achieved with a dichotomous rotation in the Cox, Miller, and Bloom plane. Besides, a modern watermarking scheme should manage the psychovisual impact due to the watermarking signal. This is addressed by using a psychovisual mask. Our low complexity watermarking scheme is compared to two other psychovisual low complexity approaches and results show a good behavior in terms of robustness. The obtained results give a very clear vision, in realistic conditions of use, of the current state-of-the-art for high-rate watermarking schemes of low complexity.