Cryptology ePrint Archive: Report 2021/056
The Study of Modulo $2^n$
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.
Category / Keywords: secret-key cryptography / modulo
Date: received 14 Jan 2021, last revised 20 Jan 2021
Contact author: niuzhongfeng1996 at 163 com
Available format(s): PDF | BibTeX Citation
Version: 20210120:141239 (All versions of this report)
Short URL: ia.cr/2021/056
[ Cryptology ePrint archive ]