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Title:
The Study of Modulo 2^n
Authors: Zhongfeng Niu
Abstract:In this paper, we present a new concept named the basic function. By the study of the basic function, we find the O(n)-time algorithm to calculate the probability or correlation for some property of Modulo 2^n, including the difference-linear connective correlation coefficients, the linear approximation correlation coefficients, the differential probability, difference-boomerange connective probability, boomerange connective probability, boomerange-difference connective probability, etc.
ePrint: https://eprint.iacr.org/2021/056
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