Cryptographic system based on information difference

Cryptography – Communication system using cryptography – Data stream/substitution enciphering

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380 45, H04L 900

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active

051612445

ABSTRACT:
The cryptographic system is comprised of two stations A and B in which a respective string S.sub.A and S.sub.B of digits is stored. In station A an error-control information string C is generated from string S.sub.A and transmitted to station B over an error-free public channel CH1. In station B a particular string D and a decision bit F are generated. String D maximizes a predetermined reliability function of a string combination (S.sub.B, C, D). Decision bit F is assigned the value 1 if and only if a maximum value taken on by the reliability function is greater than a predetermined threshold. Decision bit F is transmitted to station A over an error-free public channel CH2. In both stations A and B, the respective strings S.sub.A and S.sub.B are tagged as accepted when said decision bit F has the value 1. The above sequence is repeated, resulting in a plurality of tagged strings which are concatenated at stations A and B to result in a random cipher key shared by the stations A and B.
The predetermined reliability function can be defined as a conditional probability P (S.sub.A =D/S.sub.B =S.sub.B, C=C) that a random variable S.sub.A corresponding to string S.sub.A is equal to string D, given the conditions that a random variable S.sub.B corresponding to string S.sub.B is equal to that latter string S.sub.B and a random variable C corresponding to the error-control information string C is equal to that latter string C.

REFERENCES:
patent: 4208739 (1980-06-01), Lu et al.
patent: 5054066 (1991-10-01), Riek et al.
IBM Technical Disclosure Bulletin, vol. 28, No. 7, Dec. 1985, New York, US. pp. 3153-3163, `Quantum Public Key Distribution System`.
Siam Journal of Computing, vol. 17, No. 2, Apr. 1988, New York (US) pp. 21210-21229, Bennett et al. `Privacy Amplification by Public Discussion`.

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