Cryptographic communication method and apparatus

Cryptography – Particular algorithmic function encoding – Public key

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380 28, H04L 928, H04L 930

Patent

active

053512987

ABSTRACT:
A public key cryptographic system uses Lucas functions as the basis for encoding and decoding messages. An encoding device and a decoding device are linked by a communication channel. The first device is able to be actuated by some message to be transmitted, M, as well as an encryption key, E, so as to form a cryptogram, C, so that C can be sent over the communication channel to a decoding device. The encryption key, E, is a pair of positive whole numbers, e and N, which match the decryption key, D, of the second decoding device. The message M must usually be broken down into blocks, M.sub.i, such that each is greater than or equal to zero and less than or equal to N-1. N is a composite number--i.e. it is made up of at least two prime numbers, p and q, such that N=p.multidot.q. The cryptographic transformation done by the encoding device can be described using the notation of Lucas functions. It is, for each ith block of message M which produces a matching ith block of the cryptogram C:

REFERENCES:
patent: 4218582 (1980-08-01), Hellman et al.
patent: 4731841 (1988-03-01), Rosen et al.
patent: 5146500 (1992-09-01), Maurer
patent: 5159632 (1992-10-01), Crandall
patent: 5166978 (1992-11-01), Quisquater

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