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Public-key cryptosystems based on cubic finite field extensions

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2 Author(s)
Guang Gong ; Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA ; Harn, L.

The cryptographic properties of third-order linear feedback shift-register (LFSR) sequences over GF(p) are investigated. A fast computational algorithm for evaluating the kth term of a characteristic sequence of order 3 is presented. Based on these properties, a new public-key distribution scheme and an RSA-type encryption algorithm are proposed. Their security, implementation, information rate, and computational cost for the new schemes are discussed

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 7 )