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This paper presents a novel block cipher based on the Sudoku matrix. The offered block cipher combines many advantages of chaos-based encryption and traditional transform-based encryption techniques. Computer simulations show that a) the encrypted data have very random-like properties under many statistical metrics, b) unlike most chaos-based encryption methods generating unpredictable output, our new method is robust and effective for generating uniform-like encrypted data; c) it has high sensitivity to the KEY. The offered scheme can be applied to many different data types, such as audio, image and video.