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In the paper, the problem of how to construct cheating immune functions is studied. Two new methods to construct balanced quadratic functions on a finite field is proposed, we then present the conditions for this type of balanced quadratic functions can be used in the construction of cheating immune functions. The cryptographic characteristics of these functions are also discussed.
In this paper, the constructions of cheating immune secret sharing and multisecret sharing are studied. Based on the theories of matrix and linear block codes over finite field, some new methods to construct cheating immune secret sharing, strictly cheating immune secret sharing and multisecret sharing immune against cheating are proposed. Some cryptographic properties of the constructed secret sharing...
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