数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURANL OF AMTHEMTICS
2002年
4期
105-110
,共6页
逻辑函数%特征谱%密码性质
邏輯函數%特徵譜%密碼性質
라집함수%특정보%밀마성질
logical function%character spectrum%cryptographic properties
本文利用特征谱对Galois环和Zm上型为f(x,y)=(q(x),…,q(x))*y+h(x)逻辑函数密码性质进行了分析,给出了f(x,y)的特征谱与q(x)及h(x)的关系,而且指出当q(x)与h(x)满足一定密码性质时,f(x,y)具有好的密码性质.
本文利用特徵譜對Galois環和Zm上型為f(x,y)=(q(x),…,q(x))*y+h(x)邏輯函數密碼性質進行瞭分析,給齣瞭f(x,y)的特徵譜與q(x)及h(x)的關繫,而且指齣噹q(x)與h(x)滿足一定密碼性質時,f(x,y)具有好的密碼性質.
본문이용특정보대Galois배화Zm상형위f(x,y)=(q(x),…,q(x))*y+h(x)라집함수밀마성질진행료분석,급출료f(x,y)적특정보여q(x)급h(x)적관계,이차지출당q(x)여h(x)만족일정밀마성질시,f(x,y)구유호적밀마성질.
In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),…,q(x))*y+h(x),over Galois rings and residue rings, presented the relationship between the character spectrum of f(x,y) and the character speetrum of q(x),h(x) and the relationship between the cryptographic properties of f(x,y) and the cryptographic properties of h(x).
