%0 Journal Article
%T Research on the Noise Functions Produced by Macrocosm Approximation of XOR with Addition Modulo 2~n<br>模2~n加整体逼近模2加产生的噪声函数的概率分布研究
%A Chen Shi-wei Jin Chen-hui Li Xi-bin
%A <br>陈士伟
%A 金晨辉
%A 李席斌
%J 电子与信息学报
%D 2009
%I 
%X This paper proves that the noise functions produced by six kinds of macrocosm approximations of exclusive or with addition modulo 2n have the same probability distribution values. Then, the relations between the six noise functions are given. Moreover, this paper presents the computing formulas for the probability distributions and the square sums of the probability values, and proposes a correct formula for the square sums of the probability values of noise function produced by macrocosm approximations of addition modulo 2n with exclusive or. The results presented in this paper are useful in some distinguishing attacks.
%K Cipher
%K Addition modulo 2n&prev_q=n')">Addition modulo 2n" target="_blank">n')">Addition modulo 2n
%K Exclusive or
%K Macrocosm approximation
%K Noise function
%K Probability distribution
%K Distinguishing attack<br>密码
%K 模2n加
%K 模2加
%K 整体逼近
%K 噪声函数
%K 概率分布
%K 区分攻击
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=F09ECC5C1B34BE9C48BB3821729C9B0E&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=F3090AE9B60B7ED1&sid=40759A4656FCEE7A&eid=C60F9D75D8506098&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=11