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- W2920848765 abstract "The correlation-immune functions serve as an important metric for measuring resistance of a cryptosystem against correlation attacks. Existing literature emphasize on matrices, orthogonal arrays and Walsh-Hadamard spectra to characterize the correlation-immune functions over $mathbb{F}_p$ ($p geq 2$ is a prime). %with prime $p$. Recently, Wang and Gong investigated the Fourier spectral characterization over the complex field for correlation-immune Boolean functions. In this paper, the discrete Fourier transform (DFT) of non-binary functions was studied. It was shown that a function $f$ over $mathbb{F}_p$ is $m$th-order correlation-immune if and only if its Fourier spectrum vanishes at a specific location under any permutation of variables. Moreover, if $f$ is a symmetric function, $f$ is correlation-immune if and only if its Fourier spectrum vanishes at only one location." @default.
- W2920848765 created "2019-03-22" @default.
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- W2920848765 date "2019-03-13" @default.
- W2920848765 modified "2023-10-17" @default.
- W2920848765 title "The Fourier Spectral Characterization for the Correlation-Immune Functions over Fp" @default.
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- W2920848765 doi "https://doi.org/10.48550/arxiv.1903.05350" @default.
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