P-recursive Sequence and key-dependent Multimedia Scrambling

Multimedia scrambling technologies ensure that multimedia content is only used by authorized users by transforming multimedia data into an unintelligible format. This paper introduces a new P-recursive sequence and two multimedia scrambling algorithms based on the P-recursive sequence. The P-recursive sequence is a more generalized sequence which can derive many well-known sequences such as the P-Fibonacci sequence, the P-Lucas sequence and P-Gray code. The algorithms can be used to scramble two or three dimensional multimedia data in one step. Electronic signatures, grayscale images and three-color-component images are all examples of 2-D & 3-D multimedia data which can utilize these algorithms. Furthermore, a security key parameter p may be chosen as different or the same values for each dimensional component of the multimedia data. Experiments show that the presented algorithms can scramble multimedia data at different levels of security by partially or fully encrypting multimedia data. They also have been demonstrated in the experiments to show good performance in known-plain text attack and common image attacks such as data loss, Gaussian noise, and Salt Pepper noise. The scrambled multimedia data can be completely reconstructed only by using the correct security keys.