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A novel algorithm for the computation of Lucas sequences is proposed to improve the efficiency of cryptosystems based on it. By the introduction of pre-computation, the original Characteristic polynomial algorithm is modified to reduce the number of multiplication operations. The influence of window size on efficiency of the algorithm is also analyzed, and a optimization scheme is presented. In circumstances...
A recently proposed public key cryptosystem based on Chebyshev polynomials suggests a new approach to data encryption. The sequence of Chebyshev polynomial is proved to be periodically, but its symmetry properties have not been investigated in depth. In this paper, a new representation of Chebyshev polynomial is introduced to study these properties, and their impacts on the cryptosystem. It is shown...
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