Abstract
A discrete fractional cosine transform with arbitrary period is proposed, which is a linear combination of discrete fractional cosine transform (DFRCT). We propose a new image encryption algorithm based on the discrete fractional cosine transform with arbitrary period, and set up some experiments by the different image block methods. The specific steps of encryption and decryption are given, and this encryption algorithm in items of many evaluation indexes is analyzed. The results of the detailed analysis demonstrate that the encryption algorithm effectiveness, efficiency and ability to resist brute-force attack are satisfying.
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