“与常数模2n加”运算的不可能差分性质研究

J4 ›› 2010, Vol. 45 ›› Issue (11): 47-51.

“与常数模2ⁿ加”运算的不可能差分性质研究

关杰, 张应杰

信息工程大学电子技术学院, 河南郑州 450004

收稿日期:2010-03-04 出版日期:2010-11-16 发布日期:2010-11-24
作者简介:关杰(1974-),女,博士,副教授,主要研究方向为密码学,密码理论和算法分析.Email:guanjie007@163.com

Impossible differential characteristic probability of an added constant on modulo 2ⁿoperation

GUAN Jie, ZHANG Ying-jie

Electronic Technology Institute, Information Engineering University, Zhengzhou 450004, Henan, China

Received:2010-03-04 Online:2010-11-16 Published:2010-11-24

摘要/Abstract

摘要：

对“与常数模2ⁿ加”即Y=(X+K)mod 2ⁿ的不可能差分性质进行了研究,首次给出了当差分转移概率取值为0时,输入差ΔX、输出差ΔY及常数K的结构特点和计数下界。

关键词: 密码学;差分分析;不可能差分分析;模2ⁿ加

Abstract:

The impossible differential property of an added constant on modulo 2ⁿoperation Y=X+Kmod 2ⁿ is studied. The characters of the structure and the lower bound of numbers of the input difference ΔX, the output difference ΔY and the constant K are given for the first time as the differential probability is to be 0.

Key words: cryptography; differential cryptanalysis; impossible differential cryptanalysis; addition modulo 2ⁿ

关杰, 张应杰. “与常数模2ⁿ加”运算的不可能差分性质研究[J]. J4, 2010, 45(11): 47-51.

GUAN Jie, ZHANG Ying-jie. Impossible differential characteristic probability of an added constant on modulo 2ⁿoperation[J]. J4, 2010, 45(11): 47-51.

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“与常数模2ⁿ加”运算的不可能差分性质研究

Impossible differential characteristic probability of an added constant on modulo 2ⁿoperation

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