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How to share a secret with cheatersby: Martin Tompa, Heather Woll
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Notes for this articleA simple modification to the scheme of Shamir allows to do secret sharing with arbitrarily low probability of misreporting by cheaters. Alternative to digital signature of shares not based on asymmetric encryption security.
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AbstractThis paper demonstrates that Shamir's scheme [10] is not secure against certain forms of cheating. A small modification to his scheme retains the security and efficiency of the original, is secure against these forms of cheating, and preserves the property that its security does not depend on any unproven assumptions such as the intractability of computing number-theoretic functions.
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