There are many free parameters in discrete multiple-parameters fractional Fourier transforms. These parameters can be applied as encryption keys that make a cryptosystem safer. In this paper, the extended versions of discrete Fourier transforms are employed into an existing asymmetric multiple-images cryptosystem. The resulting encryption system is based on phase and amplitude truncations, which is the reason that the system is asymmetric. The phase combination operation during encoding makes the random phase key required for decoding, which enhances security of decoding. The discrete Fourier transform is replaced by discrete multiple-parameters fractional Fourier transforms to increase the number of free parameters and sensitivity of errors without decreasing the sensitivity of phase and amplitude keys. Related computer experiments are performed to validate our proposed methods.
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