Orthomorphic permutations have good characteristics in cryptosystems. In this paper, by using of knowledge about relation between orthomorphic permutations and multi-output functions, and conceptions of the generalize...
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Orthomorphic permutations have good characteristics in cryptosystems. In this paper, by using of knowledge about relation between orthomorphic permutations and multi-output functions, and conceptions of the generalized Walsh spectrum of multi-output functions and the auto-correlation function of multi-output functions to investigate the Walsh spectral characteristics and the auto-correlation function characteristics of orthormophic permutations, several results are obtained.
We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationshipsabout the correlation degree of multi-output functions are proved. One is between the correlatio...
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We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationshipsabout the correlation degree of multi-output functions are proved. One is between the correlation degree and independency, the other is between the correlation degree and balance. Especiallythe paper discusses the correlation degree of affine multioutputfunctions. We demonstrate properties of the correlation coefficient of multi-output functions. One is the value range of the correlation coefficient, one is the relationship between the correlation coefficient and independency, and another is the sufficientand necessary condition that two multi-output functions are equivalent to each other.
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