Cryptographic system and method

Details Cryptographic system and method Cryptographic system and method

1992-02-10

1993-06-15

Barron, Jr., Gilberto

Cryptography

Communication system using cryptography

Data stream/substitution enciphering

380 28, 380 44, H04L 900

Patent

active

052206068

ABSTRACT:
I present a cryptographic communications system and method. The system includes a communications channel that is coupled to an encryption device and to a decryption device. A sender's plaintext message is encoded into ciphertext at the encryption device by first transforming the plaintext into a number sequence M. The encryption device couples the sender's signature S with an encoding key K to convert M into a ciphertext C. Ciphertext C is then transmitted over the communications channel to the intended receiver of the message.
The receiver's decryption device acquires the ciphertext C. The decryption device takes the sender's signature S and the encoding key K and develops an inverted form of S which is the sequence T. The device uses T and K to decode C and obtain the digital message M. Sequence M is then converted to the original plaintext message.
The sender's signature S is known at the encryption and decryption devices. S is kept secret from unauthorized persons. The encoding key K is developed by either of two alternatives. In one alternative, K is calculated as a sequence of numbers from the coupling of S with a sequence of random numbers R. In a second alternative, a sequence of random numbers R is developed in special relation to S and the encoding key K is then taken equal to R. In both alternatives, the sequence of random numbers R may be public. Any eavesdropper must have knowledge of the sender's signature S to decode the plaintext message.
The cryptographic method for encryption, decryption, encoding key formation entails the consideration of each of the number sequences M, S, K, C, T, and R as the coefficients of polynomials that are in the finite field Z.sub.p of integers modulo the prime number p. The theory involved in the study of polynomials of this nature comes under the heading of Galois field theory. The calculations in the invention follow Galois theory but are performed using only the coefficients and not the actual polynomials.

REFERENCES:
patent: 4165444 (1979-08-01), Gordon
patent: 4797921 (1989-01-01), Shiraishi
patent: 4878246 (1989-10-01), Pastor et al.
patent: 4972475 (1990-11-01), Sant'Anselmo
patent: 5008938 (1991-04-01), Freeburg et al.
patent: 5031129 (1991-07-01), Powell et al.

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