Sharing a secret using polynomials

Cryptography – Particular algorithmic function encoding

Reexamination Certificate

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C380S278000, C380S279000

Reexamination Certificate

active

08077862

ABSTRACT:
A method and system for distributing n shares of a secret to n computing systems, and a method and system for reconstructing the secret from k shares of the secret. In one embodiment, the method for distributing the secret comprises representing the secret as a first polynomial over GF(2). The method further comprises creating the n shares from the secret, each of the n shares including a polynomial over GF(2). The secret can be reconstructed, in one embodiment, by solving coefficients of an interpolating polynomial using k points in the k shares using modulo 2 arithmetic.

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patent: 7167565 (2007-01-01), Rajasekaran
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Asmuth, C., et al., “A Modular Approach to Key Safeguarding”, IEEE Trans. on Info Theory, vol. IT-29, No. 2, Mar. 1983, pp. 208-210.
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