Matrix extensions of the RSA algorithm 1st ediiton by Chih Chwen Chuang, James George Dunham ISBN 3540545088 9783540545088
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Authors:Chuang, Chih-Chwen; Dunham, J. George , Tags:Advances in Cryptology – Crypto ’90; Lecture Notes in Computer Science Volume 537; RSA; variations , Author sort:Chuang, Chih-Chwen & Dunham, J. George , Languages:Languages:eng
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ISBN 10: 3540545088
ISBN 13: 978-3540545088
Author: Chih-Chwen Chuang, James George Dunham
A new matrix extension of the RSA algorithm is proposed which is based on the Cayley-Hamilton theorem and a one-way function. The security of this algorithm rests upon both that of the RSA algorithm and the one-way function. The computational efficiency of the new algorithm depends on the dimension of the matrix. The most efficient implementation is the 2×2 case in which both encryption and decryption use a single modulo arithmetic multiplication and single evaluation of the one-way function.
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