| 摘要 |
A method and system distributes N shares of a secret among cooperating entities by calculating the multiplicative inverses of the secret. In one embodiment, a distributor selects N distinct prime numbers and forms unique subsets of the prime numbers, with each subset containing K of the N prime numbers (N>=K), where K is a threshold number of shares necessary to reconstruct the secret. The distributor calculates a product of the prime numbers in each subset, and, for each subset, calculates the multiplicative inverse of the secret modulo the product. A total of N shares are generated, with each share containing the multiplicative inverses and one of the prime numbers. The N shares are distributed to the cooperating entities for secret sharing.
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