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In this paper, we introduce fractional number-theoretic transforms (FrNTT) based on matrix functions. In contrast to previously proposed FrNTT, our approach does not require the construction of any number-theoretic transform (NTT) eigenvectors set. This allows us to obtain an FrNTT matrix by means of a closed-form expression corresponding to a linear combination of integer powers of the respective...
In this paper, we introduce fractional number-theoretic transforms (FrNTT) based on matrix functions. The approach, which is a kind of finite field extension of the method presented in [1], does not require the construction of any number-theoretic transform eigenvector set. In this sense, the definition presented in this work is simpler than that of another recently introduced FrNTT. An image encryption...
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