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An (n, t, d, n−t)-arithmetic secret sharing scheme (with uniformity) for F k q over Fq is an Fq-linear secret sharing scheme where the secret is selected from F k q and each of the n shares is an element of Fq. Moreover, there is t-privacy (in addition, any t shares are uniformly random in F t q) and, if one considers the d-fold " component-wise " product(More)